<?xml version='1.0' encoding='UTF-8'?><?xml-stylesheet href="http://www.blogger.com/styles/atom.css" type="text/css"?><feed xmlns='http://www.w3.org/2005/Atom' xmlns:openSearch='http://a9.com/-/spec/opensearchrss/1.0/' xmlns:georss='http://www.georss.org/georss' xmlns:gd='http://schemas.google.com/g/2005' xmlns:thr='http://purl.org/syndication/thread/1.0'><id>tag:blogger.com,1999:blog-6215755470705274256</id><updated>2012-02-16T01:15:06.547-08:00</updated><title type='text'>dot 3rd eye: information + insight = innovation</title><subtitle type='html'></subtitle><link rel='http://schemas.google.com/g/2005#feed' type='application/atom+xml' href='http://blog.dot3rdeye.com/feeds/posts/default'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/6215755470705274256/posts/default'/><link rel='alternate' type='text/html' href='http://blog.dot3rdeye.com/'/><link rel='hub' href='http://pubsubhubbub.appspot.com/'/><author><name>Charu Kishnani</name><uri>http://www.blogger.com/profile/04726588861542725290</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='32' height='24' src='http://bp3.blogger.com/_GvOKNaFdxmw/R-1aOGtop4I/AAAAAAAAAAM/Kn192EFqyFM/S220/charu.jpg'/></author><generator version='7.00' uri='http://www.blogger.com'>Blogger</generator><openSearch:totalResults>5</openSearch:totalResults><openSearch:startIndex>1</openSearch:startIndex><openSearch:itemsPerPage>25</openSearch:itemsPerPage><entry><id>tag:blogger.com,1999:blog-6215755470705274256.post-3757151021700822351</id><published>2010-08-03T16:05:00.000-07:00</published><updated>2010-08-03T16:13:50.272-07:00</updated><title type='text'>Buying Flexibility to Manage Growing Supply Chain Risk</title><content type='html'>&lt;h2&gt;A Fresh Approach to Outsourced and Offshore Manufacturing&lt;/h2&gt;&lt;div&gt;Amar Singh, CEO, Amitive, Inc.&lt;/div&gt;&lt;div&gt;Narayan Venkatasubramanyan, President, dot 3rd eye, inc.&lt;/div&gt;  &lt;div class="MsoNormal" align="center" style="text-align:center"&gt;  &lt;hr size="2" width="100%" align="center"&gt;  &lt;/div&gt;  &lt;h2 style="background:#E5E5E5;mso-shading:windowtext;mso-pattern:gray-10 auto"&gt;Idea in brief&lt;/h2&gt;  &lt;p class="MsoListParagraph" style="margin-left:.5in;text-indent:-.25in; mso-list:l2 level1 lfo3;background:#E5E5E5;mso-shading:windowtext;mso-pattern: gray-10 auto"&gt;&lt;span style="font-family:Symbol;mso-fareast-font-family: Symbol;mso-bidi-font-family:Symbol;"&gt;&lt;span style="mso-list:Ignore"&gt;·&lt;span style="font:7.0pt &amp;quot;Times New Roman&amp;quot;"&gt;         &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;Cost-cutting drove companies to outsource and offshore manufacturing.&lt;span style="mso-spacerun:yes"&gt;  &lt;/span&gt;The resulting longer lead times, and delays and distortion of information made the supply chains inflexible, thereby lowering their ability to respond to demand volatility.&lt;span style="mso-spacerun:yes"&gt;  &lt;/span&gt;Recent changes in consumer behavior (driven by recession) and shorter product lifecycles are driving higher demand volatility. &lt;span style="mso-spacerun:yes"&gt; &lt;/span&gt;This inflexibility in the face of increasing volatility magnifies supply chain risk and actually increases cost.&lt;/p&gt;  &lt;p class="MsoListParagraph" style="margin-left:.5in;text-indent:-.25in; mso-list:l2 level1 lfo3;background:#E5E5E5;mso-shading:windowtext;mso-pattern: gray-10 auto"&gt;&lt;span style="font-family:Symbol;mso-fareast-font-family: Symbol;mso-bidi-font-family:Symbol;"&gt;&lt;span style="mso-list:Ignore"&gt;·&lt;span style="font:7.0pt &amp;quot;Times New Roman&amp;quot;"&gt;         &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;Traditional decision-making criteria for supply chain design (outsourced and/or offshore manufacturing decisions) underplay the impact of demand volatility on cost.&lt;span style="mso-spacerun:yes"&gt;  &lt;/span&gt;They mostly focus on the trade-off between manufacturing and logistics costs.&lt;/p&gt;  &lt;p class="MsoListParagraph" style="margin-left:.5in;text-indent:-.25in; mso-list:l2 level1 lfo3;background:#E5E5E5;mso-shading:windowtext;mso-pattern: gray-10 auto"&gt;&lt;span style="font-family:Symbol;mso-fareast-font-family: Symbol;mso-bidi-font-family:Symbol;"&gt;&lt;span style="mso-list:Ignore"&gt;·&lt;span style="font:7.0pt &amp;quot;Times New Roman&amp;quot;"&gt;         &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;The proposed approach goes beyond cost comparison; it offers a framework to classify products based on demand volatility and product lifecycles.&lt;span style="mso-spacerun:yes"&gt;  &lt;/span&gt;This results in a differentiated strategy for supply chain design that balances cost against supply chain risk.&lt;span style="mso-spacerun:yes"&gt; &lt;/span&gt;Readers familiar with the theory of real options may recognize this as a practical application of that idea.&lt;/p&gt;  &lt;h2 align="center" style="text-align:center"&gt;  &lt;hr size="2" width="100%" align="center"&gt;  &lt;/h2&gt;  &lt;h2&gt;Current Approach to Supply Chain Design&lt;/h2&gt;  &lt;p class="MsoNormal"&gt;The analysis that is done to justify outsourcing of production and moving it offshore is largely based on the trade-off between the cost differential per unit of production and the incremental cost of logistics.&lt;span style="mso-spacerun:yes"&gt;  &lt;/span&gt;This thinking is illustrated in the article titled “&lt;a href="http://www.mckinseyquarterly.com/strategy/globalization/time_to_rethink_offshoring_2190"&gt;Time to rethink offshoring?&lt;/a&gt;” (The McKinsey Quarterly, September 2008).&lt;span style="mso-spacerun:yes"&gt;  &lt;/span&gt;The authors argued that the increase in energy prices during the summer of 2008 has reduced the cost advantage of manufacturing in the Far East.&lt;span style="mso-spacerun:yes"&gt;  &lt;/span&gt;Their argument can be summarized as follows: &lt;/p&gt;  &lt;p class="MsoListParagraph" style="margin-left:.25in;text-indent:-.25in; mso-list:l0 level1 lfo4"&gt;&lt;span style="font-family:Wingdings; mso-fareast-font-family:Wingdings;mso-bidi-font-family:Wingdings;"&gt;&lt;span style="mso-list:Ignore"&gt;v&lt;span style="font:7.0pt &amp;quot;Times New Roman&amp;quot;"&gt;  &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;If the cost of manufacturing in the US a product is high, the likely savings from manufacturing it near- or offshore is likely to be high&lt;/p&gt;  &lt;p class="MsoListParagraph" style="margin-left:.25in;text-indent:-.25in; mso-list:l0 level1 lfo4"&gt;&lt;span style="font-family:Wingdings; mso-fareast-font-family:Wingdings;mso-bidi-font-family:Wingdings;"&gt;&lt;span style="mso-list:Ignore"&gt;v&lt;span style="font:7.0pt &amp;quot;Times New Roman&amp;quot;"&gt;  &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;If the product weight is high, its logistics cost per unit is likely to be high&lt;/p&gt;  &lt;p class="MsoListParagraph" style="margin-left:.25in;text-indent:-.25in; mso-list:l0 level1 lfo4"&gt;&lt;span style="font-family:Wingdings; mso-fareast-font-family:Wingdings;mso-bidi-font-family:Wingdings;"&gt;&lt;span style="mso-list:Ignore"&gt;v&lt;span style="font:7.0pt &amp;quot;Times New Roman&amp;quot;"&gt;  &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;The decision to move manufacturing offshore is the result of the relative values of these costs:&lt;/p&gt;  &lt;p class="MsoListParagraph" style="margin-left:.5in;text-indent:-.25in; mso-list:l0 level2 lfo4"&gt;&lt;span style="font-family:Wingdings; mso-fareast-font-family:Wingdings;mso-bidi-font-family:Wingdings;"&gt;&lt;span style="mso-list:Ignore"&gt;Ø&lt;span style="font:7.0pt &amp;quot;Times New Roman&amp;quot;"&gt;  &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;If the manufacturing cost is high and the logistics cost is low, it makes sense to build this product in Asia&lt;/p&gt;  &lt;p class="MsoListParagraph" style="margin-left:.5in;text-indent:-.25in; mso-list:l0 level2 lfo4"&gt;&lt;span style="font-family:Wingdings; mso-fareast-font-family:Wingdings;mso-bidi-font-family:Wingdings;"&gt;&lt;span style="mso-list:Ignore"&gt;Ø&lt;span style="font:7.0pt &amp;quot;Times New Roman&amp;quot;"&gt;  &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;As logistics cost increase relative to the cost of manufacturing, it may be more economical to build this product in Mexico&lt;/p&gt;  &lt;p class="MsoListParagraph" style="margin-left:.5in;text-indent:-.25in; mso-list:l0 level2 lfo4"&gt;&lt;span style="font-family:Wingdings; mso-fareast-font-family:Wingdings;mso-bidi-font-family:Wingdings;"&gt;&lt;span style="mso-list:Ignore"&gt;Ø&lt;span style="font:7.0pt &amp;quot;Times New Roman&amp;quot;"&gt;  &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;Only for low-cost products that are bulky do they recommend manufacture in the US.&lt;span style="mso-spacerun:yes"&gt;  &lt;/span&gt;&lt;/p&gt;  &lt;p class="MsoNormal"&gt;Based on their analysis, they have developed breakeven curves that carve up the 2-dimensional space of manufacturing cost and product weight into “Build in Asia” vs. “Build in Mexico” vs. “Build in US”.&lt;span style="mso-spacerun:yes"&gt;  &lt;/span&gt;The increase in energy costs between 2005 and 2008 has shifted these curves in a direction that favors the US and Mexico options over Asia.&lt;span style="mso-spacerun:yes"&gt;  &lt;/span&gt;This is captured in the following graphic:&lt;/p&gt;  &lt;p class="MsoNormal"&gt;&lt;span style="line-height:115%;mso-no-proof: yesfont-size:10.0pt;"&gt;&lt;v:shapetype id="_x0000_t75" coordsize="21600,21600" spt="75" preferrelative="t" path="m@4@5l@4@11@9@11@9@5xe" filled="f" stroked="f"&gt;  &lt;v:stroke joinstyle="miter"&gt;  &lt;v:formulas&gt;   &lt;v:f eqn="if lineDrawn pixelLineWidth 0"&gt;   &lt;v:f eqn="sum @0 1 0"&gt;   &lt;v:f eqn="sum 0 0 @1"&gt;   &lt;v:f eqn="prod @2 1 2"&gt;   &lt;v:f eqn="prod @3 21600 pixelWidth"&gt;   &lt;v:f eqn="prod @3 21600 pixelHeight"&gt;   &lt;v:f eqn="sum @0 0 1"&gt;   &lt;v:f eqn="prod @6 1 2"&gt;   &lt;v:f eqn="prod @7 21600 pixelWidth"&gt;   &lt;v:f eqn="sum @8 21600 0"&gt;   &lt;v:f eqn="prod @7 21600 pixelHeight"&gt;   &lt;v:f eqn="sum @10 21600 0"&gt;  &lt;/v:f&gt;&lt;/v:f&gt;&lt;/v:f&gt;&lt;/v:f&gt;&lt;/v:f&gt;&lt;/v:f&gt;&lt;/v:f&gt;&lt;/v:f&gt;&lt;/v:f&gt;&lt;/v:f&gt;&lt;/v:f&gt;&lt;/v:f&gt;&lt;/v:formulas&gt;  &lt;v:path extrusionok="f" gradientshapeok="t" connecttype="rect"&gt;  &lt;o:lock ext="edit" aspectratio="t"&gt; &lt;/o:lock&gt;&lt;/v:path&gt;&lt;/v:stroke&gt;&lt;/v:shapetype&gt;&lt;v:shape id="Picture_x0020_4" spid="_x0000_i1028" type="#_x0000_t75" style="width:468pt;height:261pt;visibility:visible;mso-wrap-style:square"&gt;  &lt;v:imagedata src="file:///C:\DOCUME~1\NARAYA~1\LOCALS~1\Temp\msohtmlclip1\01\clip_image001.png" title=""&gt; &lt;/v:imagedata&gt;&lt;/v:shape&gt;&lt;/span&gt;&lt;/p&gt;  &lt;p class="MsoNormal"&gt;The reasoning is simple and linear: if it is cheaper to build and ship one unit from China than to build it in the US, it must mean that we ought to shift it all production to China.&lt;span style="mso-spacerun:yes"&gt;  &lt;/span&gt;If we can find a contract manufacturer who can do it for even less, then it must mean that it is time to outsource all production.&lt;span style="mso-spacerun:yes"&gt;  &lt;/span&gt;&lt;/p&gt;  &lt;h2&gt;Mitigating Risk through Flexibility: An Example&lt;/h2&gt;  &lt;p class="MsoNormal"&gt;The above decision model overlooks one important reality: demand volatility.&lt;span style="mso-spacerun:yes"&gt;  &lt;/span&gt;More specifically, it overlooks the reality that demand forecasts are uncertain and, the further out we look, the more uncertain is the forecast.&lt;span style="mso-spacerun:yes"&gt;  &lt;/span&gt;In this section, we provide an example of how accounting for that effect leads to a very different and non-intuitive conclusion.&lt;/p&gt;  &lt;p class="MsoNormal"&gt;Imagine a widget supply chain that consists of suppliers who are contract manufacturers of widgets based in China, a widget brand owner who buys them in bulk from these Chinese factories and then resells them into widget retailers in the US.&lt;span style="mso-spacerun:yes"&gt;  &lt;/span&gt;Until recently, this brand owner used to manufacture widgets in the United States and, to some extent, in Mexico but the lower cost of manufacture in China has led to a restructuring of the supply chain and the outsourcing of all production to Chinese suppliers.&lt;/p&gt;  &lt;p class="MsoNormal"&gt;Given their low margin, widgets have to be transported by sea and then land.&lt;span style="mso-spacerun:yes"&gt;  &lt;/span&gt;Assume that the lead times are as follows:&lt;/p&gt;  &lt;table class="LightShading1" border="1" cellspacing="0" cellpadding="0"  style="border-collapse:collapse;border:none;mso-border-top-alt:solid black 1.0pt;  mso-border-top-themecolor:text1;mso-border-bottom-alt:solid black 1.0pt;  mso-border-bottom-thememso-yfti-tbllook:1184;mso-padding-alt:0in 5.4pt 0in 5.4ptcolor:text1;"&gt;  &lt;tbody&gt;&lt;tr style="mso-yfti-irow:-1;mso-yfti-firstrow:yes"&gt;   &lt;td width="106" valign="top"  style="width:79.75pt;border-top:solid black 1.0pt;   mso-border-top-themecolor:text1;border-left:none;border-bottom:solid black 1.0pt;   mso-border-bottom-themeborder-right:none;padding:0in 5.4pt 0in 5.4ptcolor:text1;"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;mso-yfti-cnfc:5"&gt;&lt;b&gt;&lt;span style="color:black;mso-theme   mso-themeshade:191color:text1;"&gt;&lt;o:p&gt; &lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td width="135" valign="top"  style="width:101.25pt;border-top:solid black 1.0pt;   mso-border-top-themecolor:text1;border-left:none;border-bottom:solid black 1.0pt;   mso-border-bottom-themeborder-right:none;padding:0in 5.4pt 0in 5.4ptcolor:text1;"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;mso-yfti-cnfc:1"&gt;&lt;b&gt;&lt;span style="color:black;mso-theme   mso-themeshade:191color:text1;"&gt;Lead Time (weeks)&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;   &lt;/td&gt;  &lt;/tr&gt;  &lt;tr style="mso-yfti-irow:0"&gt;   &lt;td width="106" valign="top"  style="width:79.75pt;border:none;background:silver;   mso-background-thememso-background-themetint:63;padding:0in 5.4pt 0in 5.4ptcolor:text1;"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;mso-yfti-cnfc:68"&gt;&lt;b&gt;&lt;span style="color:black;mso-theme   mso-themeshade:191color:text1;"&gt;Supplier&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td width="135" valign="top"  style="width:101.25pt;border:none;background:silver;   mso-background-thememso-background-themetint:63;padding:0in 5.4pt 0in 5.4ptcolor:text1;"&gt;   &lt;p class="MsoNormal" align="center" style="margin-bottom:0in;margin-bottom:.0001pt;   text-align:center;line-height:normal;mso-yfti-cnfc:64"&gt;&lt;span style="color:black;mso-thememso-themeshade:191color:text1;"&gt;3&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;  &lt;/tr&gt;  &lt;tr style="mso-yfti-irow:1"&gt;   &lt;td width="106" valign="top" style="width:79.75pt;border:none;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;mso-yfti-cnfc:4"&gt;&lt;b&gt;&lt;span style="color:black;mso-theme   mso-themeshade:191color:text1;"&gt;Brand owner&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td width="135" valign="top" style="width:101.25pt;border:none;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" align="center" style="margin-bottom:0in;margin-bottom:.0001pt;   text-align:center;line-height:normal"&gt;&lt;span style="color:black;mso-thememso-themeshade:191color:text1;"&gt;8&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;  &lt;/tr&gt;  &lt;tr style="mso-yfti-irow:2;mso-yfti-lastrow:yes"&gt;   &lt;td width="106" valign="top"  style="width:79.75pt;border:none;border-bottom:solid black 1.0pt;   mso-border-bottom-themecolor:text1;background:silver;mso-background-thememso-background-themetint:63;padding:0in 5.4pt 0in 5.4ptcolor:text1;"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;mso-yfti-cnfc:68"&gt;&lt;b&gt;&lt;span style="color:black;mso-theme   mso-themeshade:191color:text1;"&gt;Retailer&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td width="135" valign="top"  style="width:101.25pt;border:none;border-bottom:   solid black 1.0pt;mso-border-bottom-themecolor:text1;background:silver;   mso-background-thememso-background-themetint:63;padding:0in 5.4pt 0in 5.4ptcolor:text1;"&gt;   &lt;p class="MsoNormal" align="center" style="margin-bottom:0in;margin-bottom:.0001pt;   text-align:center;line-height:normal;mso-yfti-cnfc:64"&gt;&lt;span style="color:black;mso-thememso-themeshade:191color:text1;"&gt;2&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;  &lt;/tr&gt; &lt;/tbody&gt;&lt;/table&gt;  &lt;p class="MsoNormal"&gt;The supplier’s lead time includes the lead time in production and transportation to the port in China.&lt;span style="mso-spacerun:yes"&gt;  &lt;/span&gt;The brand owner’s lead time includes the time across the ocean, clearance through customs, and over-land transportation to their distribution centers.&lt;span style="mso-spacerun:yes"&gt;  &lt;/span&gt;Finally, the retailer’s lead time includes the movements of widgets from the brand owner’s DCs to their warehouses and finally to the store-shelf.&lt;/p&gt;  &lt;p class="MsoNormal"&gt;Given this, it is clear that a widget that commences production today does not find its way to its final customer for 3 months.&lt;span style="mso-spacerun:yes"&gt;  &lt;/span&gt;In other words, the supplier is starting production today for a demand that is forecasted to be realized a quarter out. &lt;/p&gt;  &lt;p class="MsoNormal"&gt;It should come as no surprise that forecasts of demand get progressively poorer the further out we look.&lt;span style="mso-spacerun:yes"&gt;  &lt;/span&gt;Therefore, any brand owner who builds to stock based on a forecast is exposed to the risk implicit in making a commitment to a number that is fraught with uncertainty.&lt;span style="mso-spacerun:yes"&gt;  &lt;/span&gt;If the cost of a lost sale is considered to be high, the brand owner is more prone to err in the direction of having the supplier make too much than too little.&lt;span style="mso-spacerun:yes"&gt;  &lt;/span&gt;On the other hand, if the loss due to obsolescence (or price protection) is too high, the brand owner will tend to shoot low.&lt;span style="mso-spacerun:yes"&gt;  &lt;/span&gt;In any case, the brand owner works under the misguided belief that some mix of excess/obsolete inventory and expedited production is an inevitable consequence of forecast error.&lt;span style="mso-spacerun:yes"&gt;  &lt;/span&gt;&lt;/p&gt;  &lt;p class="MsoNormal"&gt;Notice how the length and inflexibility of the lead times that are baked into the design of this supply chain guarantee that forecast error translates into increased cost in the form of lost sales or excess/obsolescent inventory.&lt;/p&gt;  &lt;h3&gt;Analysis of an Alternative Supply Chain Structures&lt;/h3&gt;  &lt;p class="MsoNormal"&gt;Clearly, the logic for outsourced and offshore manufacture is inescapable but, we argue, not overwhelming.&lt;span style="mso-spacerun:yes"&gt;  &lt;/span&gt;Unfortunately, simple linear, deterministic models have driven decision-makers to extremes.&lt;span style="mso-spacerun:yes"&gt;  &lt;/span&gt;What we argue for is a strategy that balances the low-cost, long lead-time option with the high-cost, responsive option.&lt;span style="mso-spacerun:yes"&gt;  &lt;/span&gt;A careful analysis of the lead times and delays involved in outsourced, offshore manufacture, and a quantification of the resulting increase in noise in the signal that is used to start manufacture will naturally lead to such a conclusion.&lt;span style="mso-spacerun:yes"&gt;  &lt;/span&gt;&lt;/p&gt;  &lt;p class="MsoNormal"&gt;Using a simplified numerical example, we will reveal the opportunity to borrow a key principle from other disciplines that have had to contend with uncertainty: the use of options.&lt;span style="mso-spacerun:yes"&gt;  &lt;/span&gt;&lt;/p&gt;  &lt;p class="MsoNormal"&gt;Imagine that the widget in question has a life-cycle of 1 quarter, after which it is replaced by a newer, better widget.&lt;span style="mso-spacerun:yes"&gt;  &lt;/span&gt;Assume that the season for the widget begins on July 1, 2009 and ends on September 30, 2009.&lt;span style="mso-spacerun:yes"&gt;  &lt;/span&gt;&lt;/p&gt;  &lt;p class="MsoNormal" style="page-break-after:avoid"&gt;Given the lead times involved, the brand owner has to place orders upon the supplier on April 1, 2009 so that the first batch of product arrives on the store-shelf at the beginning of the season on July 1.&lt;span style="mso-spacerun:yes"&gt;  &lt;/span&gt;As a result, this order will be based on a forecast of demand 3 months out.&lt;span style="mso-spacerun:yes"&gt;  &lt;/span&gt;Assume that on April 1, 2009, the most likely estimate of demand for widgets is 100 units per week over the 13 week period starting July 1, 2009.&lt;span style="mso-spacerun:yes"&gt;  &lt;/span&gt;Clearly, this is a guess.&lt;span style="mso-spacerun:yes"&gt;  &lt;/span&gt;It is understood that the actual demand could turn out to be higher or lower.&lt;span style="mso-spacerun:yes"&gt;  &lt;/span&gt;&lt;/p&gt;  &lt;p class="MsoNormal" style="page-break-after:avoid"&gt;&lt;span style="mso-no-proof: yes"&gt;&lt;v:shape id="Object_x0020_1" spid="_x0000_i1027" type="#_x0000_t75" style="width:268.5pt;height:150pt;visibility:visible" gfxdata="UEsDBBQABgAIAAAAIQC75UiUBQEAAB4CAAATAAAAW0NvbnRlbnRfVHlwZXNdLnhtbKSRvU7DMBSF dyTewfKKEqcMCKEmHfgZgaE8wMW+SSwc27JvS/v23KTJgkoXFsu+P+c7Ol5vDoMTe0zZBl/LVVlJ gV4HY31Xy4/tS3EvRSbwBlzwWMsjZrlprq/W22PELHjb51r2RPFBqax7HCCXIaLnThvSAMTP1KkI +gs6VLdVdad08ISeCho1ZLN+whZ2jsTzgcsnJwldluLxNDiyagkxOquB2Knae/OLUsyEkjenmdzb mG/YhlRnCWPnb8C898bRJGtQvEOiVxjYhtLOxs8AySiT4JuDystlVV4WPeM6tK3VaILeDZxIOSsu ti/jidNGNZ3/J08yC1dNv9v8AAAA//8DAFBLAwQUAAYACAAAACEArTA/8cEAAAAyAQAACwAAAF9y ZWxzLy5yZWxzhI/NCsIwEITvgu8Q9m7TehCRpr2I4FX0AdZk2wbbJGTj39ubi6AgeJtl2G9m6vYx jeJGka13CqqiBEFOe2Ndr+B03C3WIDihMzh6RwqexNA281l9oBFTfuLBBhaZ4ljBkFLYSMl6oAm5 8IFcdjofJ0z5jL0MqC/Yk1yW5UrGTwY0X0yxNwri3lQgjs+Qk/+zfddZTVuvrxO59CNCmoj3vCwj MfaUFOjRhrPHaN4Wv0VV5OYgm1p+LW1eAAAA//8DAFBLAwQUAAYACAAAACEATxpuZf8HAACLVwAA HwAAAGNsaXBib2FyZC9kcmF3aW5ncy9kcmF3aW5nMS54bWzsXG1v2zYQ/j5g/4HQ16G1Xqy3oG6R pu2GoViDut13VpZjoRQlUIzr7NfvjqQk242jtpmLfbgUSGWTPJIPj6d7jsc8e7GrBduWqqsaufCC p77HSlk0q0reLLyPH948yTzWaS5XXDSyXHh3Zee9eP7rL8/4xY3i7aYqGEiQ3QVfeBut24vZrCs2 Zc27p01bSihbN6rmGj6qm9lK8S8guRaz0PeTWc0r6T0fRb3imrNbVf2AKNEUn8vVFZdb3oFIUVzs f+PGKIrHS+YXcvu7apfttcKRF39trxWrVgsPkJO8Boi8mStw1eDj7KjVzShgt1Y11m/Wa7YzUu7w t5FR7jQr4Ms4iNLETzxWQFkU+lGUpq6XzTvbLsjiPIZvGdSA2kHiOxnF5vWEFBicHQQ87A2s2Mll iyOT2yt8PJ5v3M93qRWvbjaaXSrVfGFXjZRloRvF5gMSTkCPxJ68zsnFETDVaJjs3Mcfj61F1f4B s7FPf+PTHlBZlIEOmflG/jzDFgeYhekckIIKiFkQZxkWD1PlF63q9O9lUzN8WHidm8QwetsZ377t tG3YN8AxCIm/Na/Ea7li+q6FZec4e9cJlkNf/eQ6fSdK2+59uQZtgTW18s1eKa+EYlsuQEZRlFIH gxSojc3WlRBDQ9+g8GBDVx+blus1LMb3NB5amJ4bOTauK9mo+3rXu37Ia1vfzt7OGnAYVGl4OKFT oOJ2D53UqdiuMmy7M+jUPIJ/TqmCPAtQfw6UyqnTPE6hyJSRRt2nEId6fE6N6pyJ+to+gS20uvQB zOjLZseSQXWwMtM7+BL3od3ectuL6HftkWWOojgEM2MszjxMUAMOlSPOgyzMnZH2U/hxontBvQVx JkfBxjTgnTAysnkD+96Orh+T3lmbjINf3eEO/QT/w2y+wMt44Ul4R3tMaXHVgDVxlqK9vNUgypkx Wx9bik4ve8O0KtfX1sDD03uQJzg6AKV88nHpZjFWEVsRIII1V2/NG4uLG3AehMegzgf+afnPwsuD udlJMBZTpeRv5Uv1GfEG2bqS7iPguYGuwCm4vpUFGGJrF90oOpAUGNA/lwr9EwQdx941olohPOYD OhyjER2t0UEt06ux1WtegL3+rZZPhHZLyI8KSm4Liu6ooOhGOAAnY+gcHgbTrQhHaKyd8Bjhg6A4 fKIRn15JCB8ExeEzH/HpHTlSIIGoOIDiPYCyMDPmgTQIUXEAJSNAYZgBEwAjSwAhKg6gdA+gniYQ QIiKAygbAUISZd7kBBCi4gDK9wBKYiDntMXAC0JUrEe051oaB93gpo78SmbcO6Ncq0ppE/dgXa2v RMnB2XPutX7+5624YwESam2kG2GlXF1zxY991ftkOv5u2o6O821XLtv34IPbYutZG9KOazzFVMHP P2KqQ+SAmVCDCQ2dgaNGaZhHMUTlMKyRp0ka586HdWEeMPlxnjseEob5PMtMIOY0UxUVsAac9L1E xEBiFZ/iGC4kdpp1BmAIDmmnWx6IWCzRaHwT7bSRsCDBKINjPC4+GMz9ME6ARMHyh1ES5KGjtX2s MAhDYExEQ4mGDgydaGhP04mGusDHiTAG0dA+MnQCIKKhEwARDZ0AiGjoBEBEQycAIho6AdCZaOjV bf2UvYLUBrn6f3HRAOjASTIKhAQI7tnYaOzHeCZj2Ggah0PaQU9HDo7h+2ikZdwnjsWIjbpkgPEc 65Gn6sH8If2IzqofeRL2J+ph6OcYrDfq2OsHHJnaCD6maZB+uHyP/zbr4oFoxZDE0x+Sg6705uLb wxVoX1x8IkyS1Bw4YHjKre3hgvvJPA2gX5PLRMfkdEzuUXyC4hPflmZB8YkJ15fiExMAUXxiAiCK T0wARPGJCYAoPjEB0JniE5cda9bsslWV+Nmn5Q8wjCGle2AYYwr3DzGMxIfU7CHkkPtANw4pZRaD Tw0hESIYlIdrU5SJYBDBIIKBUZrysYnuRDAmXu5EMCYAIoIxARARjAmAiGBMAHQmgvF610K6bPmT Tz8f4BZfXfELHnnH74Bb7N+i7o+r8siP8biVuAVxC+IW9pYmcQviFsQt3F3ks94yJm4x4fgQt5gA iLjFBEDELSYAOhO3eNfqqq46XRU/N7fyAXYBd+wOb3IF/R9d+p6rXHu5Ufvs4t5kuDxNoywidtH/ BZF/AQAA///slsFuwjAMhl+lynWaoKXQDq0cxrTTDtW6PYCXehCRhioJCPb0s9NMIC57gPXSJHVi u59c58+nU5FYrytBI8KrebK7SqQi0eCViUsybcFslNnUByM921ePsGzx6622ifumFyX72aE1NM9o zna316p9UVqHhdxih2ttkyNQNH9KxWT1OLnZFaIm/tzjF0isxF1n7rXnnbBEuDEgDAbpbgzSRd9D hiGMPuq0ry07omlG06QD+1qJfF5wwgnoDSWvRUKH3uGzoa96SPP/xIehRD6zC59fCCMfhhL55Bc+ 6axIF2MB8V/FVCKg+RWgMitDexgriKlEQIsLoCwrqYDGFkQVxFQioOIKUJHPxh4dLi6mEgGVF0BM J9xU4y/GVCKghytAi3kxNulQQUxlUETON/6skWn1/AjcLAkjTWKvEmjuPxoxyLtQXK2y/hyEouv8 WiOQXpoOEsyvanROdcp5JVnV+RAieETT1mCBpeJfjgdFSMmwh9PTvj1zXgeHTf+G0g9mf2qGHY4H LZd6L3fYrsEcwYWjGwv9Vsln8HC9Xv0AAAD//wMAUEsDBBQABgAIAAAAIQDhUTcfzwYAAOYbAAAa AAAAY2xpcGJvYXJkL3RoZW1lL3RoZW1lMS54bWzsWc1v3EQUvyPxP4x8b7PfzUbdVNnNbgNt2ijZ FvU4a8/a04w91sxs0r2h9oiEhCiIA5W4cUBApVbiUv6aQBEUqf8Cb2ZsryfrkLSNoILmkLWff/O+ 35uvy1fuxQwdECEpT3pe/WLNQyTxeUCTsOfdGo8urHpIKpwEmPGE9Lw5kd6V9fffu4zXfEbTCcci GEckJggYJXIN97xIqXRtZUX6QMbyIk9JAt+mXMRYwasIVwKBD0FAzFYatVpnJcY08daBo9KMhgz+ JUpqgs/EnmZDUIJjkH5zOqU+Mdhgv64Rci4HTKADzHoe8Az44ZjcUx5iWCr40PNq5s9bWb+8gtey QUydMLY0bmT+snHZgGC/YWSKcFIIrY9a3UubBX8DYGoZNxwOB8N6wc8AsO+DpVaXMs/WaLXez3mW QPZxmfeg1q61XHyJf3NJ526/3293M10sUwOyj60l/Gqt09poOHgDsvj2Er7V3xgMOg7egCy+s4Qf Xep2Wi7egCJGk/0ltA7oaJRxLyBTzrYq4asAX61l8AUKsqHILi1iyhN1Uq7F+C4XIwBoIMOKJkjN UzLFPuTkAMcTQbEWgNcILn2xJF8ukbQsJH1BU9XzPkxx4pUgL599//LZE3R0/+nR/Z+OHjw4uv+j ZeSM2sJJWB714tvP/nz0MfrjyTcvHn5RjZdl/K8/fPLLz59XA6F8FuY9//Lxb08fP//q09+/e1gB 3xB4UoaPaUwkukEO0S6PwTDjFVdzMhGvNmIcYVoesZGEEidYS6ngP1SRg74xxyyLjqNHn7gevC2g fVQBr87uOgrvRWKmaIXka1HsALc5Z30uKr1wTcsquXk8S8Jq4WJWxu1ifFAle4ATJ77DWQp9M09L x/BBRBw1dxhOFA5JQhTS3/g+IRXW3aHU8es29QWXfKrQHYr6mFa6ZEwnTjYtBm3RGOIyr7IZ4u34 Zvs26nNWZfUmOXCRUBWYVSg/Jsxx41U8UziuYjnGMSs7/DpWUZWSe3Phl3FDqSDSIWEcDQMiZdWY mwLsLQX9GoaOVRn2bTaPXaRQdL+K53XMeRm5yfcHEY7TKuweTaIy9gO5DymK0Q5XVfBt7laIfoc4 4OTEcN+mxAn36d3gFg0dlRYJor/MhI4ltGqnA8c0+bt2zCj0Y5sD59eOoQE+//pRRWa9rY14A+ak qkrYOtZ+T8Idb7oDLgL69vfcTTxLdgik+fLE867lvmu53n++5Z5Uz2dttIveCm1XrxvsotgskeMT V8hTytiemjNyXZpFsoR5IhgBUY8zO0FS7JjSCB6zvu7gQoHNGCS4+oiqaC/CKSyw655mEsqMdShR yiVs7Ay5krfGwyJd2W1hW28YbD+QWG3zwJKbmpzvCwo2ZrYJzeYzF9TUDM4qrHkpYwpmv46wulbq zNLqRjXT6hxphckQw2XTgFh4ExYgCJYt4OUO7MW1aNiYYEYC7Xc79+ZhMVE4zxDJCAcki5G2ezlG dROkPFfMSQDkTkWM9CbvFK+VpHU12zeQdpYglcW1ThCXR+9NopRn8CJKum6PlSNLysXJEnTY87rt RttDPk573hT2tPAYpxB1qdd8mIVwGuQrYdP+1GI2Vb6IZjc3zC2COhxTWL8vGez0gVRItYllZFPD fMpSgCVaktW/0Qa3npcBNtNfQ4vmKiTDv6YF+NENLZlOia/KwS5RtO/sa9ZK+UwRsRcFh2jCZmIX Q/h1qoI9AZVwNGE6gn6BczTtbfPJbc5Z0ZVPrwzO0jFLI5y1W12ieSVbuKnjQgfzVlIPbKvU3Rj3 6qaYkj8nU8pp/D8zRc8ncFLQDHQEfDiUFRjpeu15XKiIQxdKI+qPBCwcTO+AbIGzWPgMSQUnyOZX kAP9a2vO8jBlDRs+tUtDJCjMRyoShOxAWzLZdwqzejZ3WZYsY2QyqqSuTK3aE3JA2Fj3wI6e2z0U QaqbbpK1AYM7nn/ue1ZBk1Avcsr15vSQYu61NfBPr3xsMYNRbh82C5rc/4WKFbOqHW+G53Nv2RD9 YbHMauVVAcJKU0E3K/vXVOEVp1rbsZYsbrRz5SCKyxYDsVgQpXDeg/Q/mP+o8Jm9bdAT6pjvQm9F cNGgmUHaQFZfsAsPpBukJU5g4WSJNpk0K+vabOmkvZZP1ue80i3kHnO21uws8X5FZxeLM1ecU4vn 6ezMw46vLe1EV0Nkj5cokKb5RsYEpurWaRunaBLWex7c/ECg78ET3B15QGtoWkPT4AkuhGCxZG9x el72kFPgu6UUmGZOaeaYVk5p5ZR2ToHFWXZfklM60Kn0FQdcsekfD+W3GbCCy24/8qbqXM2t/wUA AP//AwBQSwMEFAAGAAgAAAAhAJxmRkG7AAAAJAEAACoAAABjbGlwYm9hcmQvZHJhd2luZ3MvX3Jl bHMvZHJhd2luZzEueG1sLnJlbHOEj80KwjAQhO+C7xD2btJ6EJEmvYjQq9QHCMk2LTY/JFHs2xvo RUHwsjCz7DezTfuyM3liTJN3HGpaAUGnvJ6c4XDrL7sjkJSl03L2DjksmKAV201zxVnmcpTGKSRS KC5xGHMOJ8aSGtHKRH1AVzaDj1bmIqNhQaq7NMj2VXVg8ZMB4otJOs0hdroG0i+hJP9n+2GYFJ69 elh0+UcEy6UXFqCMBjMHSldnnTUtXYGJhn39Jt4AAAD//wMAUEsBAi0AFAAGAAgAAAAhALvlSJQF AQAAHgIAABMAAAAAAAAAAAAAAAAAAAAAAFtDb250ZW50X1R5cGVzXS54bWxQSwECLQAUAAYACAAA ACEArTA/8cEAAAAyAQAACwAAAAAAAAAAAAAAAAA2AQAAX3JlbHMvLnJlbHNQSwECLQAUAAYACAAA ACEATxpuZf8HAACLVwAAHwAAAAAAAAAAAAAAAAAgAgAAY2xpcGJvYXJkL2RyYXdpbmdzL2RyYXdp bmcxLnhtbFBLAQItABQABgAIAAAAIQDhUTcfzwYAAOYbAAAaAAAAAAAAAAAAAAAAAFwKAABjbGlw Ym9hcmQvdGhlbWUvdGhlbWUxLnhtbFBLAQItABQABgAIAAAAIQCcZkZBuwAAACQBAAAqAAAAAAAA AAAAAAAAAGMRAABjbGlwYm9hcmQvZHJhd2luZ3MvX3JlbHMvZHJhd2luZzEueG1sLnJlbHNQSwUG AAAAAAUABQBnAQAAZhIAAAAA"&gt;  &lt;v:imagedata src="file:///C:\DOCUME~1\NARAYA~1\LOCALS~1\Temp\msohtmlclip1\01\clip_image002.png" title="" croptop="-2214f" cropbottom="-1568f" cropleft="-1089f" cropright="-1406f"&gt;  &lt;o:lock ext="edit" aspectratio="f"&gt; &lt;/o:lock&gt;&lt;/v:imagedata&gt;&lt;/v:shape&gt;&lt;/span&gt;&lt;/p&gt;  &lt;p class="MsoNormal" style="page-break-after:avoid"&gt;For the purpose of this example, we assume that, on April 1, all we know about the demand starting July 1 is this: the demand will be 100 units/week with a 50% chance but it could be 80 units/week or 120 units/week with equal probability.&lt;span style="mso-spacerun:yes"&gt;  &lt;/span&gt;This is captured in the table below:&lt;/p&gt;  &lt;table class="LightShading1" border="1" cellspacing="0" cellpadding="0"  style="border-collapse:collapse;border:none;mso-border-top-alt:solid black 1.0pt;  mso-border-top-themecolor:text1;mso-border-bottom-alt:solid black 1.0pt;  mso-border-bottom-thememso-yfti-tbllook:1184;mso-padding-alt:0in 5.4pt 0in 5.4ptcolor:text1;"&gt;  &lt;tbody&gt;&lt;tr style="mso-yfti-irow:-1;mso-yfti-firstrow:yes"&gt;   &lt;td width="155" valign="top"  style="width:116.3pt;border-top:solid black 1.0pt;   mso-border-top-themecolor:text1;border-left:none;border-bottom:solid black 1.0pt;   mso-border-bottom-themeborder-right:none;padding:0in 5.4pt 0in 5.4ptcolor:text1;"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid;mso-yfti-cnfc:5"&gt;&lt;b&gt;&lt;span style="color:black;   mso-thememso-themeshade:191color:text1;"&gt;Demand (units/week)&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td width="88" valign="top"  style="width:66.35pt;border-top:solid black 1.0pt;   mso-border-top-themecolor:text1;border-left:none;border-bottom:solid black 1.0pt;   mso-border-bottom-themeborder-right:none;padding:0in 5.4pt 0in 5.4ptcolor:text1;"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid;mso-yfti-cnfc:1"&gt;&lt;b&gt;&lt;span style="color:black;   mso-thememso-themeshade:191color:text1;"&gt;Probability&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;   &lt;/td&gt;  &lt;/tr&gt;  &lt;tr style="mso-yfti-irow:0"&gt;   &lt;td width="155" valign="top"  style="width:116.3pt;border:none;background:silver;   mso-background-thememso-background-themetint:63;padding:0in 5.4pt 0in 5.4ptcolor:text1;"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid;mso-yfti-cnfc:68"&gt;&lt;b&gt;&lt;span style="color:black;   mso-thememso-themeshade:191color:text1;"&gt;80&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td width="88" valign="top"  style="width:66.35pt;border:none;background:silver;   mso-background-thememso-background-themetint:63;padding:0in 5.4pt 0in 5.4ptcolor:text1;"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid;mso-yfti-cnfc:64"&gt;&lt;span style="color:black;   mso-thememso-themeshade:191color:text1;"&gt;25%&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;  &lt;/tr&gt;  &lt;tr style="mso-yfti-irow:1"&gt;   &lt;td width="155" valign="top" style="width:116.3pt;border:none;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid;mso-yfti-cnfc:4"&gt;&lt;b&gt;&lt;span style="color:black;   mso-thememso-themeshade:191color:text1;"&gt;100&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td width="88" valign="top" style="width:66.35pt;border:none;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;&lt;span style="color:black;mso-theme   mso-themeshade:191color:text1;"&gt;50%&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;  &lt;/tr&gt;  &lt;tr style="mso-yfti-irow:2;mso-yfti-lastrow:yes"&gt;   &lt;td width="155" valign="top"  style="width:116.3pt;border:none;border-bottom:solid black 1.0pt;   mso-border-bottom-themecolor:text1;background:silver;mso-background-thememso-background-themetint:63;padding:0in 5.4pt 0in 5.4ptcolor:text1;"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;mso-yfti-cnfc:68"&gt;&lt;b&gt;&lt;span style="color:black;mso-theme   mso-themeshade:191color:text1;"&gt;120&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td width="88" valign="top"  style="width:66.35pt;border:none;border-bottom:solid black 1.0pt;   mso-border-bottom-themecolor:text1;background:silver;mso-background-thememso-background-themetint:63;padding:0in 5.4pt 0in 5.4ptcolor:text1;"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;mso-yfti-cnfc:64"&gt;&lt;span style="color:black;mso-theme   mso-themeshade:191color:text1;"&gt;25%&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;  &lt;/tr&gt; &lt;/tbody&gt;&lt;/table&gt;  &lt;p class="MsoNormal"&gt;For simplicity, we assume that these probabilities remain unchanged until the season begins.&lt;span style="mso-spacerun:yes"&gt;  &lt;/span&gt;As soon as the season begins, the weekly demand is known with certainty&lt;a style="mso-footnote-id:ftn1" href="file:///C:/Documents%20and%20Settings/Narayan%20V/My%20Documents/Professional/3rd%20eye/Mitrix/Article/blog%20post/Buying%20Flexibility%20to%20Manage%20Growing%20Supply%20Chain%20Risk%20v2.1.htm#_ftn1" name="_ftnref1" title=""&gt;&lt;span class="MsoFootnoteReference"&gt;&lt;span style="mso-special-character:footnote"&gt;&lt;span class="MsoFootnoteReference"&gt;&lt;span style="line-height:115%; font-family:&amp;quot;Calibri&amp;quot;,&amp;quot;sans-serif&amp;quot;;mso-ascii-theme-font:minor-latin;mso-fareast-font-family: Calibri;mso-fareast-theme-font:minor-latin;mso-hansi-theme-font:minor-latin; mso-bidi-Times New Roman&amp;quot;;mso-bidi-theme-font:minor-bidi; mso-ansi-language:EN-US;mso-fareast-language:EN-US;mso-bidi-language:AR-SAfont-family:&amp;quot;;font-size:11.0pt;"&gt;[1]&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/a&gt;.&lt;span style="mso-spacerun:yes"&gt;  &lt;/span&gt;Unfortunately, by then it is too late to do anything in response because of the lead times involved.&lt;/p&gt;  &lt;p class="MsoNormal"&gt;Assume that it costs $150/unit to manufacture the widgets at the supplier and another $50/unit to ship widgets to the retailer.&lt;span style="mso-spacerun:yes"&gt;  &lt;/span&gt;The brand owner gets $300/unit for each widget sold by the retailer (i.e., a margin of $100 per widget sold).&lt;span style="mso-spacerun:yes"&gt;  &lt;/span&gt;Widgets that remain unsold at the end of the season have no residual value&lt;a style="mso-footnote-id:ftn2" href="file:///C:/Documents%20and%20Settings/Narayan%20V/My%20Documents/Professional/3rd%20eye/Mitrix/Article/blog%20post/Buying%20Flexibility%20to%20Manage%20Growing%20Supply%20Chain%20Risk%20v2.1.htm#_ftn2" name="_ftnref2" title=""&gt;&lt;span class="MsoFootnoteReference"&gt;&lt;span style="mso-special-character:footnote"&gt;&lt;span class="MsoFootnoteReference"&gt;&lt;span style="line-height:115%; font-family:&amp;quot;Calibri&amp;quot;,&amp;quot;sans-serif&amp;quot;;mso-ascii-theme-font:minor-latin;mso-fareast-font-family: Calibri;mso-fareast-theme-font:minor-latin;mso-hansi-theme-font:minor-latin; mso-bidi-Times New Roman&amp;quot;;mso-bidi-theme-font:minor-bidi; mso-ansi-language:EN-US;mso-fareast-language:EN-US;mso-bidi-language:AR-SAfont-family:&amp;quot;;font-size:11.0pt;"&gt;[2]&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/a&gt; (i.e., a margin of -$200 per widget left unsold).&lt;/p&gt;  &lt;p class="MsoNormal" style="page-break-after:avoid"&gt;The brand owner is faced with a multitude of possibilities, three of which are summarized in the following table:&lt;span style="mso-spacerun:yes"&gt;  &lt;/span&gt;&lt;span style="mso-spacerun:yes"&gt; &lt;/span&gt;&lt;/p&gt;  &lt;table class="MsoTableGrid" border="1" cellspacing="0" cellpadding="0"  style="border-collapse:collapse;border:none;mso-border-alt:solid black .5pt;  mso-border-thememso-yfti-tbllook:1184;mso-padding-alt:0in 5.4pt 0in 5.4ptcolor:text1;"&gt;  &lt;tbody&gt;&lt;tr style="mso-yfti-irow:0;mso-yfti-firstrow:yes"&gt;   &lt;td width="117" valign="top"  style="width:87.75pt;border:solid black 1.0pt;   mso-border-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themepadding:0in 5.4pt 0in 5.4ptcolor:text1;"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;Brand owner asks supplier &lt;span style="mso-spacerun:yes"&gt; &lt;/span&gt;to make (units/week)&lt;/p&gt;   &lt;/td&gt;   &lt;td width="115" valign="top" style="width:86.05pt;border:solid black 1.0pt;   mso-border-themecolor:text1;border-left:none;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;Demand turns out to be (units/week)&lt;/p&gt;   &lt;/td&gt;   &lt;td width="100" valign="top" style="width:74.75pt;border:solid black 1.0pt;   mso-border-themecolor:text1;border-left:none;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;Units sold per week&lt;/p&gt;   &lt;/td&gt;   &lt;td width="107" valign="top" style="width:80.4pt;border:solid black 1.0pt;   mso-border-themecolor:text1;border-left:none;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;Margin on units sold – Cost of unsold units   ($/week)&lt;/p&gt;   &lt;/td&gt;   &lt;td width="111" valign="top" style="width:83.2pt;border:solid black 1.0pt;   mso-border-themecolor:text1;border-left:none;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;Probability&lt;/p&gt;   &lt;/td&gt;   &lt;td width="89" valign="top" style="width:66.65pt;border:solid black 1.0pt;   mso-border-themecolor:text1;border-left:none;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;Expected result ($/week)&lt;/p&gt;   &lt;/td&gt;  &lt;/tr&gt;  &lt;tr style="mso-yfti-irow:1"&gt;   &lt;td width="117" rowspan="3" valign="top" style="width:87.75pt;border:solid black 1.0pt;   mso-border-themecolor:text1;border-top:none;mso-border-top-alt:solid black .5pt;   mso-border-top-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;80&lt;/p&gt;   &lt;/td&gt;   &lt;td width="115" valign="top" style="width:86.05pt;border-top:none;border-left:   none;border-bottom:solid black 1.0pt;mso-border-bottom-themecolor:text1;   border-right:solid black 1.0pt;mso-border-right-themecolor:text1;mso-border-top-alt:   solid black .5pt;mso-border-top-themecolor:text1;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;80&lt;/p&gt;   &lt;/td&gt;   &lt;td width="100" valign="top" style="width:74.75pt;border-top:none;border-left:   none;border-bottom:solid black 1.0pt;mso-border-bottom-themecolor:text1;   border-right:solid black 1.0pt;mso-border-right-themecolor:text1;mso-border-top-alt:   solid black .5pt;mso-border-top-themecolor:text1;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;80&lt;/p&gt;   &lt;/td&gt;   &lt;td width="107" valign="top" style="width:80.4pt;border-top:none;border-left:   none;border-bottom:solid black 1.0pt;mso-border-bottom-themecolor:text1;   border-right:solid black 1.0pt;mso-border-right-themecolor:text1;mso-border-top-alt:   solid black .5pt;mso-border-top-themecolor:text1;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;8,000&lt;/p&gt;   &lt;/td&gt;   &lt;td width="111" valign="top" style="width:83.2pt;border-top:none;border-left:   none;border-bottom:solid black 1.0pt;mso-border-bottom-themecolor:text1;   border-right:solid black 1.0pt;mso-border-right-themecolor:text1;mso-border-top-alt:   solid black .5pt;mso-border-top-themecolor:text1;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;0.25&lt;/p&gt;   &lt;/td&gt;   &lt;td width="89" rowspan="3" valign="top" style="width:66.65pt;border-top:none;   border-left:none;border-bottom:solid black 1.0pt;mso-border-bottom-themecolor:   text1;border-right:solid black 1.0pt;mso-border-right-themecolor:text1;   mso-border-top-alt:solid black .5pt;mso-border-top-themecolor:text1;   mso-border-left-alt:solid black .5pt;mso-border-left-themecolor:text1;   mso-border-alt:solid black .5pt;mso-border-themecolor:text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;8,000&lt;/p&gt;   &lt;/td&gt;  &lt;/tr&gt;  &lt;tr style="mso-yfti-irow:2"&gt;   &lt;td width="115" valign="top" style="width:86.05pt;border-top:none;border-left:   none;border-bottom:solid black 1.0pt;mso-border-bottom-themecolor:text1;   border-right:solid black 1.0pt;mso-border-right-themecolor:text1;mso-border-top-alt:   solid black .5pt;mso-border-top-themecolor:text1;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;100&lt;/p&gt;   &lt;/td&gt;   &lt;td width="100" valign="top" style="width:74.75pt;border-top:none;border-left:   none;border-bottom:solid black 1.0pt;mso-border-bottom-themecolor:text1;   border-right:solid black 1.0pt;mso-border-right-themecolor:text1;mso-border-top-alt:   solid black .5pt;mso-border-top-themecolor:text1;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;80&lt;/p&gt;   &lt;/td&gt;   &lt;td width="107" valign="top" style="width:80.4pt;border-top:none;border-left:   none;border-bottom:solid black 1.0pt;mso-border-bottom-themecolor:text1;   border-right:solid black 1.0pt;mso-border-right-themecolor:text1;mso-border-top-alt:   solid black .5pt;mso-border-top-themecolor:text1;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;8,000&lt;/p&gt;   &lt;/td&gt;   &lt;td width="111" valign="top" style="width:83.2pt;border-top:none;border-left:   none;border-bottom:solid black 1.0pt;mso-border-bottom-themecolor:text1;   border-right:solid black 1.0pt;mso-border-right-themecolor:text1;mso-border-top-alt:   solid black .5pt;mso-border-top-themecolor:text1;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;0.50&lt;/p&gt;   &lt;/td&gt;  &lt;/tr&gt;  &lt;tr style="mso-yfti-irow:3"&gt;   &lt;td width="115" valign="top" style="width:86.05pt;border-top:none;border-left:   none;border-bottom:solid black 1.0pt;mso-border-bottom-themecolor:text1;   border-right:solid black 1.0pt;mso-border-right-themecolor:text1;mso-border-top-alt:   solid black .5pt;mso-border-top-themecolor:text1;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;120&lt;/p&gt;   &lt;/td&gt;   &lt;td width="100" valign="top" style="width:74.75pt;border-top:none;border-left:   none;border-bottom:solid black 1.0pt;mso-border-bottom-themecolor:text1;   border-right:solid black 1.0pt;mso-border-right-themecolor:text1;mso-border-top-alt:   solid black .5pt;mso-border-top-themecolor:text1;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;80&lt;/p&gt;   &lt;/td&gt;   &lt;td width="107" valign="top" style="width:80.4pt;border-top:none;border-left:   none;border-bottom:solid black 1.0pt;mso-border-bottom-themecolor:text1;   border-right:solid black 1.0pt;mso-border-right-themecolor:text1;mso-border-top-alt:   solid black .5pt;mso-border-top-themecolor:text1;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;8,000&lt;/p&gt;   &lt;/td&gt;   &lt;td width="111" valign="top" style="width:83.2pt;border-top:none;border-left:   none;border-bottom:solid black 1.0pt;mso-border-bottom-themecolor:text1;   border-right:solid black 1.0pt;mso-border-right-themecolor:text1;mso-border-top-alt:   solid black .5pt;mso-border-top-themecolor:text1;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;0.25&lt;/p&gt;   &lt;/td&gt;  &lt;/tr&gt;  &lt;tr style="mso-yfti-irow:4"&gt;   &lt;td width="117" rowspan="3" valign="top" style="width:87.75pt;border:solid black 1.0pt;   mso-border-themecolor:text1;border-top:none;mso-border-top-alt:solid black .5pt;   mso-border-top-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;100&lt;/p&gt;   &lt;/td&gt;   &lt;td width="115" valign="top" style="width:86.05pt;border-top:none;border-left:   none;border-bottom:solid black 1.0pt;mso-border-bottom-themecolor:text1;   border-right:solid black 1.0pt;mso-border-right-themecolor:text1;mso-border-top-alt:   solid black .5pt;mso-border-top-themecolor:text1;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;80&lt;/p&gt;   &lt;/td&gt;   &lt;td width="100" valign="top" style="width:74.75pt;border-top:none;border-left:   none;border-bottom:solid black 1.0pt;mso-border-bottom-themecolor:text1;   border-right:solid black 1.0pt;mso-border-right-themecolor:text1;mso-border-top-alt:   solid black .5pt;mso-border-top-themecolor:text1;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;80&lt;/p&gt;   &lt;/td&gt;   &lt;td width="107" valign="top" style="width:80.4pt;border-top:none;border-left:   none;border-bottom:solid black 1.0pt;mso-border-bottom-themecolor:text1;   border-right:solid black 1.0pt;mso-border-right-themecolor:text1;mso-border-top-alt:   solid black .5pt;mso-border-top-themecolor:text1;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;4,000&lt;/p&gt;   &lt;/td&gt;   &lt;td width="111" valign="top" style="width:83.2pt;border-top:none;border-left:   none;border-bottom:solid black 1.0pt;mso-border-bottom-themecolor:text1;   border-right:solid black 1.0pt;mso-border-right-themecolor:text1;mso-border-top-alt:   solid black .5pt;mso-border-top-themecolor:text1;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;0.25&lt;/p&gt;   &lt;/td&gt;   &lt;td width="89" rowspan="3" valign="top" style="width:66.65pt;border-top:none;   border-left:none;border-bottom:solid black 1.0pt;mso-border-bottom-themecolor:   text1;border-right:solid black 1.0pt;mso-border-right-themecolor:text1;   mso-border-top-alt:solid black .5pt;mso-border-top-themecolor:text1;   mso-border-left-alt:solid black .5pt;mso-border-left-themecolor:text1;   mso-border-alt:solid black .5pt;mso-border-themecolor:text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;8,500&lt;/p&gt;   &lt;/td&gt;  &lt;/tr&gt;  &lt;tr style="mso-yfti-irow:5"&gt;   &lt;td width="115" valign="top" style="width:86.05pt;border-top:none;border-left:   none;border-bottom:solid black 1.0pt;mso-border-bottom-themecolor:text1;   border-right:solid black 1.0pt;mso-border-right-themecolor:text1;mso-border-top-alt:   solid black .5pt;mso-border-top-themecolor:text1;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;100&lt;/p&gt;   &lt;/td&gt;   &lt;td width="100" valign="top" style="width:74.75pt;border-top:none;border-left:   none;border-bottom:solid black 1.0pt;mso-border-bottom-themecolor:text1;   border-right:solid black 1.0pt;mso-border-right-themecolor:text1;mso-border-top-alt:   solid black .5pt;mso-border-top-themecolor:text1;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;100&lt;/p&gt;   &lt;/td&gt;   &lt;td width="107" valign="top" style="width:80.4pt;border-top:none;border-left:   none;border-bottom:solid black 1.0pt;mso-border-bottom-themecolor:text1;   border-right:solid black 1.0pt;mso-border-right-themecolor:text1;mso-border-top-alt:   solid black .5pt;mso-border-top-themecolor:text1;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;10,000&lt;/p&gt;   &lt;/td&gt;   &lt;td width="111" valign="top" style="width:83.2pt;border-top:none;border-left:   none;border-bottom:solid black 1.0pt;mso-border-bottom-themecolor:text1;   border-right:solid black 1.0pt;mso-border-right-themecolor:text1;mso-border-top-alt:   solid black .5pt;mso-border-top-themecolor:text1;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;0.50&lt;/p&gt;   &lt;/td&gt;  &lt;/tr&gt;  &lt;tr style="mso-yfti-irow:6"&gt;   &lt;td width="115" valign="top" style="width:86.05pt;border-top:none;border-left:   none;border-bottom:solid black 1.0pt;mso-border-bottom-themecolor:text1;   border-right:solid black 1.0pt;mso-border-right-themecolor:text1;mso-border-top-alt:   solid black .5pt;mso-border-top-themecolor:text1;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;120&lt;/p&gt;   &lt;/td&gt;   &lt;td width="100" valign="top" style="width:74.75pt;border-top:none;border-left:   none;border-bottom:solid black 1.0pt;mso-border-bottom-themecolor:text1;   border-right:solid black 1.0pt;mso-border-right-themecolor:text1;mso-border-top-alt:   solid black .5pt;mso-border-top-themecolor:text1;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;100&lt;/p&gt;   &lt;/td&gt;   &lt;td width="107" valign="top" style="width:80.4pt;border-top:none;border-left:   none;border-bottom:solid black 1.0pt;mso-border-bottom-themecolor:text1;   border-right:solid black 1.0pt;mso-border-right-themecolor:text1;mso-border-top-alt:   solid black .5pt;mso-border-top-themecolor:text1;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;10,000&lt;/p&gt;   &lt;/td&gt;   &lt;td width="111" valign="top" style="width:83.2pt;border-top:none;border-left:   none;border-bottom:solid black 1.0pt;mso-border-bottom-themecolor:text1;   border-right:solid black 1.0pt;mso-border-right-themecolor:text1;mso-border-top-alt:   solid black .5pt;mso-border-top-themecolor:text1;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;0.25&lt;/p&gt;   &lt;/td&gt;  &lt;/tr&gt;  &lt;tr style="mso-yfti-irow:7"&gt;   &lt;td width="117" rowspan="3" valign="top" style="width:87.75pt;border:solid black 1.0pt;   mso-border-themecolor:text1;border-top:none;mso-border-top-alt:solid black .5pt;   mso-border-top-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;120&lt;/p&gt;   &lt;/td&gt;   &lt;td width="115" valign="top" style="width:86.05pt;border-top:none;border-left:   none;border-bottom:solid black 1.0pt;mso-border-bottom-themecolor:text1;   border-right:solid black 1.0pt;mso-border-right-themecolor:text1;mso-border-top-alt:   solid black .5pt;mso-border-top-themecolor:text1;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;80&lt;/p&gt;   &lt;/td&gt;   &lt;td width="100" valign="top" style="width:74.75pt;border-top:none;border-left:   none;border-bottom:solid black 1.0pt;mso-border-bottom-themecolor:text1;   border-right:solid black 1.0pt;mso-border-right-themecolor:text1;mso-border-top-alt:   solid black .5pt;mso-border-top-themecolor:text1;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;80&lt;/p&gt;   &lt;/td&gt;   &lt;td width="107" valign="top" style="width:80.4pt;border-top:none;border-left:   none;border-bottom:solid black 1.0pt;mso-border-bottom-themecolor:text1;   border-right:solid black 1.0pt;mso-border-right-themecolor:text1;mso-border-top-alt:   solid black .5pt;mso-border-top-themecolor:text1;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;0&lt;/p&gt;   &lt;/td&gt;   &lt;td width="111" valign="top" style="width:83.2pt;border-top:none;border-left:   none;border-bottom:solid black 1.0pt;mso-border-bottom-themecolor:text1;   border-right:solid black 1.0pt;mso-border-right-themecolor:text1;mso-border-top-alt:   solid black .5pt;mso-border-top-themecolor:text1;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;0.25&lt;/p&gt;   &lt;/td&gt;   &lt;td width="89" rowspan="3" valign="top" style="width:66.65pt;border-top:none;   border-left:none;border-bottom:solid black 1.0pt;mso-border-bottom-themecolor:   text1;border-right:solid black 1.0pt;mso-border-right-themecolor:text1;   mso-border-top-alt:solid black .5pt;mso-border-top-themecolor:text1;   mso-border-left-alt:solid black .5pt;mso-border-left-themecolor:text1;   mso-border-alt:solid black .5pt;mso-border-themecolor:text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;6,000&lt;/p&gt;   &lt;/td&gt;  &lt;/tr&gt;  &lt;tr style="mso-yfti-irow:8"&gt;   &lt;td width="115" valign="top" style="width:86.05pt;border-top:none;border-left:   none;border-bottom:solid black 1.0pt;mso-border-bottom-themecolor:text1;   border-right:solid black 1.0pt;mso-border-right-themecolor:text1;mso-border-top-alt:   solid black .5pt;mso-border-top-themecolor:text1;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;100&lt;/p&gt;   &lt;/td&gt;   &lt;td width="100" valign="top" style="width:74.75pt;border-top:none;border-left:   none;border-bottom:solid black 1.0pt;mso-border-bottom-themecolor:text1;   border-right:solid black 1.0pt;mso-border-right-themecolor:text1;mso-border-top-alt:   solid black .5pt;mso-border-top-themecolor:text1;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;100&lt;/p&gt;   &lt;/td&gt;   &lt;td width="107" valign="top" style="width:80.4pt;border-top:none;border-left:   none;border-bottom:solid black 1.0pt;mso-border-bottom-themecolor:text1;   border-right:solid black 1.0pt;mso-border-right-themecolor:text1;mso-border-top-alt:   solid black .5pt;mso-border-top-themecolor:text1;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;6,000&lt;/p&gt;   &lt;/td&gt;   &lt;td width="111" valign="top" style="width:83.2pt;border-top:none;border-left:   none;border-bottom:solid black 1.0pt;mso-border-bottom-themecolor:text1;   border-right:solid black 1.0pt;mso-border-right-themecolor:text1;mso-border-top-alt:   solid black .5pt;mso-border-top-themecolor:text1;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;0.50&lt;/p&gt;   &lt;/td&gt;  &lt;/tr&gt;  &lt;tr style="mso-yfti-irow:9;mso-yfti-lastrow:yes"&gt;   &lt;td width="115" valign="top" style="width:86.05pt;border-top:none;border-left:   none;border-bottom:solid black 1.0pt;mso-border-bottom-themecolor:text1;   border-right:solid black 1.0pt;mso-border-right-themecolor:text1;mso-border-top-alt:   solid black .5pt;mso-border-top-themecolor:text1;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal"&gt;120&lt;/p&gt;   &lt;/td&gt;   &lt;td width="100" valign="top" style="width:74.75pt;border-top:none;border-left:   none;border-bottom:solid black 1.0pt;mso-border-bottom-themecolor:text1;   border-right:solid black 1.0pt;mso-border-right-themecolor:text1;mso-border-top-alt:   solid black .5pt;mso-border-top-themecolor:text1;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal"&gt;120&lt;/p&gt;   &lt;/td&gt;   &lt;td width="107" valign="top" style="width:80.4pt;border-top:none;border-left:   none;border-bottom:solid black 1.0pt;mso-border-bottom-themecolor:text1;   border-right:solid black 1.0pt;mso-border-right-themecolor:text1;mso-border-top-alt:   solid black .5pt;mso-border-top-themecolor:text1;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal"&gt;12,000&lt;/p&gt;   &lt;/td&gt;   &lt;td width="111" valign="top" style="width:83.2pt;border-top:none;border-left:   none;border-bottom:solid black 1.0pt;mso-border-bottom-themecolor:text1;   border-right:solid black 1.0pt;mso-border-right-themecolor:text1;mso-border-top-alt:   solid black .5pt;mso-border-top-themecolor:text1;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal"&gt;0.25&lt;/p&gt;   &lt;/td&gt;  &lt;/tr&gt; &lt;/tbody&gt;&lt;/table&gt;  &lt;p class="MsoNormal"&gt;Here is an alternative way of thinking about this:&lt;/p&gt;  &lt;p class="MsoListParagraph" style="margin-left:.5in;text-indent:-.25in; mso-list:l3 level1 lfo1"&gt;&lt;span style="font-family:Symbol; mso-fareast-font-family:Symbol;mso-bidi-font-family:Symbol;"&gt;&lt;span style="mso-list:Ignore"&gt;·&lt;span style="font:7.0pt &amp;quot;Times New Roman&amp;quot;"&gt;         &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;Every one of the first 80 widgets made each week is guaranteed to be sold; hence each will earn $100.&lt;/p&gt;  &lt;p class="MsoListParagraph" style="margin-left:.5in;text-indent:-.25in; mso-list:l3 level1 lfo1"&gt;&lt;span style="font-family:Symbol; mso-fareast-font-family:Symbol;mso-bidi-font-family:Symbol;"&gt;&lt;span style="mso-list:Ignore"&gt;·&lt;span style="font:7.0pt &amp;quot;Times New Roman&amp;quot;"&gt;         &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;Every widget beyond the 80&lt;sup&gt;th&lt;/sup&gt; and up to the 100&lt;sup&gt;th&lt;/sup&gt;, has a 25% probability that it will remain unsold, i.e., cost $200, and a 75% that it will be sold, i.e., earn $100.&lt;span style="mso-spacerun:yes"&gt;  &lt;/span&gt;This means that the expected returns from building any unit between the 80&lt;sup&gt;th&lt;/sup&gt; and the 100&lt;sup&gt;th&lt;/sup&gt; is a net profit of $25.&lt;/p&gt;  &lt;p class="MsoListParagraph" style="margin-left:.5in;text-indent:-.25in; mso-list:l3 level1 lfo1"&gt;&lt;span style="font-family:Symbol; mso-fareast-font-family:Symbol;mso-bidi-font-family:Symbol;"&gt;&lt;span style="mso-list:Ignore"&gt;·&lt;span style="font:7.0pt &amp;quot;Times New Roman&amp;quot;"&gt;         &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;Every widget beyond the 100&lt;sup&gt;th&lt;/sup&gt; has a 75% probability that it will remain unsold, i.e., cost $200, and a 25% that it will be sold, i.e., earn $100.&lt;span style="mso-spacerun:yes"&gt;  &lt;/span&gt;This means that the expected returns from building any unit beyond 100 is a net loss of -$125.&lt;/p&gt;  &lt;p class="MsoNormal"&gt;Based on this analysis, we can conclude that the brand owner ought to place orders with the contract manufacturer for 100 widgets every week, starting April 1, 2009.&lt;span style="mso-spacerun:yes"&gt;  &lt;/span&gt;The simplicity of this analysis is rooted in the inflexibility of the supply chain.&lt;/p&gt;  &lt;p class="MsoNormal"&gt;This reasoning tends to overlook the effect of long lead times on the quality of forecast signal used as the basis for launching production.&lt;/p&gt;  &lt;p class="MsoNormal"&gt;Now, consider how the situation is altered fundamentally if there were a more responsive (albeit expensive) alternative to the long lead-time but inexpensive option.&lt;span style="mso-spacerun:yes"&gt;  &lt;/span&gt;To make the illustration stark, we assume that the brand owner has an onshore factory that can get widgets to the store-shelf instantaneously, starting the first week of the season&lt;a style="mso-footnote-id:ftn3" href="file:///C:/Documents%20and%20Settings/Narayan%20V/My%20Documents/Professional/3rd%20eye/Mitrix/Article/blog%20post/Buying%20Flexibility%20to%20Manage%20Growing%20Supply%20Chain%20Risk%20v2.1.htm#_ftn3" name="_ftnref3" title=""&gt;&lt;span class="MsoFootnoteReference"&gt;&lt;span style="mso-special-character:footnote"&gt;&lt;span class="MsoFootnoteReference"&gt;&lt;span style="line-height:115%; font-family:&amp;quot;Calibri&amp;quot;,&amp;quot;sans-serif&amp;quot;;mso-ascii-theme-font:minor-latin;mso-fareast-font-family: Calibri;mso-fareast-theme-font:minor-latin;mso-hansi-theme-font:minor-latin; mso-bidi-Times New Roman&amp;quot;;mso-bidi-theme-font:minor-bidi; mso-ansi-language:EN-US;mso-fareast-language:EN-US;mso-bidi-language:AR-SAfont-family:&amp;quot;;font-size:11.0pt;"&gt;[3]&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/a&gt;.&lt;span style="mso-spacerun:yes"&gt;  &lt;/span&gt;Assume that the cost of production at the onshore factory is 50% higher, i.e., $225/widget.&lt;span style="mso-spacerun:yes"&gt;  &lt;/span&gt;Because the factory is onshore, the logistics cost are only $25/widget.&lt;span style="mso-spacerun:yes"&gt;  &lt;/span&gt;This means that every widget made at this location and sold earns $50.&lt;/p&gt;  &lt;p class="MsoNormal"&gt;How does this alter the reasoning?&lt;/p&gt;  &lt;p class="MsoNormal" style="page-break-after:avoid"&gt;Clearly, there is no improvement in the quality of the forecast information prior to the season, so there is no incentive to shift any production to the higher cost alternative before the season begins.&lt;span style="mso-spacerun:yes"&gt;  &lt;/span&gt;But (in our world of extremes) the forecast picture clarifies dramatically at the beginning of the season: we know the demand with certainty.&lt;span style="mso-spacerun:yes"&gt;  &lt;/span&gt;This means that any shortfall that results from the demand exceeding the flow of widgets from China can be made up by local production.&lt;span style="mso-spacerun:yes"&gt;  &lt;/span&gt;Let us see how that alters the choices laid out above:&lt;/p&gt;  &lt;table class="MsoTableGrid" border="1" cellspacing="0" cellpadding="0" style="border-collapse:collapse;border:none;mso-border-alt:solid black .5pt;  mso-border-themecolor:text1;mso-yfti-tbllook:1184;mso-padding-alt:0in 5.4pt 0in 5.4pt"&gt;  &lt;tbody&gt;&lt;tr style="mso-yfti-irow:0;mso-yfti-firstrow:yes"&gt;   &lt;td width="117" valign="top" style="width:87.75pt;border:solid black 1.0pt;   mso-border-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;Brand owner asks supplier to make (units/week)&lt;/p&gt;   &lt;/td&gt;   &lt;td width="115" valign="top" style="width:86.05pt;border:solid black 1.0pt;   mso-border-themecolor:text1;border-left:none;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;Demand turns out to be (units/week)&lt;/p&gt;   &lt;/td&gt;   &lt;td width="100" valign="top" style="width:74.75pt;border:solid black 1.0pt;   mso-border-themecolor:text1;border-left:none;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;Units sold per week&lt;/p&gt;   &lt;/td&gt;   &lt;td width="107" valign="top" style="width:80.4pt;border:solid black 1.0pt;   mso-border-themecolor:text1;border-left:none;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;Margin on units sold – Cost of unsold units   ($/week)&lt;/p&gt;   &lt;/td&gt;   &lt;td width="111" valign="top" style="width:83.2pt;border:solid black 1.0pt;   mso-border-themecolor:text1;border-left:none;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;Probability&lt;/p&gt;   &lt;/td&gt;   &lt;td width="89" valign="top" style="width:66.65pt;border:solid black 1.0pt;   mso-border-themecolor:text1;border-left:none;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;Expected result ($/week)&lt;/p&gt;   &lt;/td&gt;  &lt;/tr&gt;  &lt;tr style="mso-yfti-irow:1"&gt;   &lt;td width="117" rowspan="3" valign="top" style="width:87.75pt;border:solid black 1.0pt;   mso-border-themecolor:text1;border-top:none;mso-border-top-alt:solid black .5pt;   mso-border-top-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;80&lt;/p&gt;   &lt;/td&gt;   &lt;td width="115" valign="top" style="width:86.05pt;border-top:none;border-left:   none;border-bottom:solid black 1.0pt;mso-border-bottom-themecolor:text1;   border-right:solid black 1.0pt;mso-border-right-themecolor:text1;mso-border-top-alt:   solid black .5pt;mso-border-top-themecolor:text1;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;80&lt;/p&gt;   &lt;/td&gt;   &lt;td width="100" valign="top" style="width:74.75pt;border-top:none;border-left:   none;border-bottom:solid black 1.0pt;mso-border-bottom-themecolor:text1;   border-right:solid black 1.0pt;mso-border-right-themecolor:text1;mso-border-top-alt:   solid black .5pt;mso-border-top-themecolor:text1;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;80&lt;/p&gt;   &lt;/td&gt;   &lt;td width="107" valign="top" style="width:80.4pt;border-top:none;border-left:   none;border-bottom:solid black 1.0pt;mso-border-bottom-themecolor:text1;   border-right:solid black 1.0pt;mso-border-right-themecolor:text1;mso-border-top-alt:   solid black .5pt;mso-border-top-themecolor:text1;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;8,000&lt;/p&gt;   &lt;/td&gt;   &lt;td width="111" valign="top" style="width:83.2pt;border-top:none;border-left:   none;border-bottom:solid black 1.0pt;mso-border-bottom-themecolor:text1;   border-right:solid black 1.0pt;mso-border-right-themecolor:text1;mso-border-top-alt:   solid black .5pt;mso-border-top-themecolor:text1;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;0.25&lt;/p&gt;   &lt;/td&gt;   &lt;td width="89" rowspan="3" valign="top" style="width:66.65pt;border-top:none;   border-left:none;border-bottom:solid black 1.0pt;mso-border-bottom-themecolor:   text1;border-right:solid black 1.0pt;mso-border-right-themecolor:text1;   mso-border-top-alt:solid black .5pt;mso-border-top-themecolor:text1;   mso-border-left-alt:solid black .5pt;mso-border-left-themecolor:text1;   mso-border-alt:solid black .5pt;mso-border-themecolor:text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;9,000&lt;/p&gt;   &lt;/td&gt;  &lt;/tr&gt;  &lt;tr style="mso-yfti-irow:2"&gt;   &lt;td width="115" valign="top" style="width:86.05pt;border-top:none;border-left:   none;border-bottom:solid black 1.0pt;mso-border-bottom-themecolor:text1;   border-right:solid black 1.0pt;mso-border-right-themecolor:text1;mso-border-top-alt:   solid black .5pt;mso-border-top-themecolor:text1;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;100&lt;/p&gt;   &lt;/td&gt;   &lt;td width="100" valign="top" style="width:74.75pt;border-top:none;border-left:   none;border-bottom:solid black 1.0pt;mso-border-bottom-themecolor:text1;   border-right:solid black 1.0pt;mso-border-right-themecolor:text1;mso-border-top-alt:   solid black .5pt;mso-border-top-themecolor:text1;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;80+20&lt;a style="mso-footnote-id:ftn4" href="file:///C:/Documents%20and%20Settings/Narayan%20V/My%20Documents/Professional/3rd%20eye/Mitrix/Article/blog%20post/Buying%20Flexibility%20to%20Manage%20Growing%20Supply%20Chain%20Risk%20v2.1.htm#_ftn4" name="_ftnref4" title=""&gt;&lt;span class="MsoFootnoteReference"&gt;&lt;span style="mso-special-character:footnote"&gt;&lt;span class="MsoFootnoteReference"&gt;&lt;span style="line-height:115%;   font-family:&amp;quot;Calibri&amp;quot;,&amp;quot;sans-serif&amp;quot;;mso-ascii-theme-font:minor-latin;   mso-fareast-font-family:Calibri;mso-fareast-theme-font:minor-latin;   mso-hansi-theme-font:minor-latin;mso-bidi-Times New Roman&amp;quot;;   mso-bidi-theme-font:minor-bidi;mso-ansi-language:EN-US;mso-fareast-language:   EN-US;mso-bidi-language:AR-SAfont-family:&amp;quot;;font-size:11.0pt;"&gt;[4]&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/a&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td width="107" valign="top" style="width:80.4pt;border-top:none;border-left:   none;border-bottom:solid black 1.0pt;mso-border-bottom-themecolor:text1;   border-right:solid black 1.0pt;mso-border-right-themecolor:text1;mso-border-top-alt:   solid black .5pt;mso-border-top-themecolor:text1;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;9,000&lt;a style="mso-footnote-id:ftn5" href="file:///C:/Documents%20and%20Settings/Narayan%20V/My%20Documents/Professional/3rd%20eye/Mitrix/Article/blog%20post/Buying%20Flexibility%20to%20Manage%20Growing%20Supply%20Chain%20Risk%20v2.1.htm#_ftn5" name="_ftnref5" title=""&gt;&lt;span class="MsoFootnoteReference"&gt;&lt;span style="mso-special-character:footnote"&gt;&lt;span class="MsoFootnoteReference"&gt;&lt;span style="line-height:115%;   font-family:&amp;quot;Calibri&amp;quot;,&amp;quot;sans-serif&amp;quot;;mso-ascii-theme-font:minor-latin;   mso-fareast-font-family:Calibri;mso-fareast-theme-font:minor-latin;   mso-hansi-theme-font:minor-latin;mso-bidi-Times New Roman&amp;quot;;   mso-bidi-theme-font:minor-bidi;mso-ansi-language:EN-US;mso-fareast-language:   EN-US;mso-bidi-language:AR-SAfont-family:&amp;quot;;font-size:11.0pt;"&gt;[5]&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/a&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td width="111" valign="top" style="width:83.2pt;border-top:none;border-left:   none;border-bottom:solid black 1.0pt;mso-border-bottom-themecolor:text1;   border-right:solid black 1.0pt;mso-border-right-themecolor:text1;mso-border-top-alt:   solid black .5pt;mso-border-top-themecolor:text1;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;0.50&lt;/p&gt;   &lt;/td&gt;  &lt;/tr&gt;  &lt;tr style="mso-yfti-irow:3"&gt;   &lt;td width="115" valign="top" style="width:86.05pt;border-top:none;border-left:   none;border-bottom:solid black 1.0pt;mso-border-bottom-themecolor:text1;   border-right:solid black 1.0pt;mso-border-right-themecolor:text1;mso-border-top-alt:   solid black .5pt;mso-border-top-themecolor:text1;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;120&lt;/p&gt;   &lt;/td&gt;   &lt;td width="100" valign="top" style="width:74.75pt;border-top:none;border-left:   none;border-bottom:solid black 1.0pt;mso-border-bottom-themecolor:text1;   border-right:solid black 1.0pt;mso-border-right-themecolor:text1;mso-border-top-alt:   solid black .5pt;mso-border-top-themecolor:text1;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;80+40&lt;/p&gt;   &lt;/td&gt;   &lt;td width="107" valign="top" style="width:80.4pt;border-top:none;border-left:   none;border-bottom:solid black 1.0pt;mso-border-bottom-themecolor:text1;   border-right:solid black 1.0pt;mso-border-right-themecolor:text1;mso-border-top-alt:   solid black .5pt;mso-border-top-themecolor:text1;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;10,000&lt;/p&gt;   &lt;/td&gt;   &lt;td width="111" valign="top" style="width:83.2pt;border-top:none;border-left:   none;border-bottom:solid black 1.0pt;mso-border-bottom-themecolor:text1;   border-right:solid black 1.0pt;mso-border-right-themecolor:text1;mso-border-top-alt:   solid black .5pt;mso-border-top-themecolor:text1;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;0.25&lt;/p&gt;   &lt;/td&gt;  &lt;/tr&gt;  &lt;tr style="mso-yfti-irow:4"&gt;   &lt;td width="117" rowspan="3" valign="top" style="width:87.75pt;border:solid black 1.0pt;   mso-border-themecolor:text1;border-top:none;mso-border-top-alt:solid black .5pt;   mso-border-top-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;100&lt;/p&gt;   &lt;/td&gt;   &lt;td width="115" valign="top" style="width:86.05pt;border-top:none;border-left:   none;border-bottom:solid black 1.0pt;mso-border-bottom-themecolor:text1;   border-right:solid black 1.0pt;mso-border-right-themecolor:text1;mso-border-top-alt:   solid black .5pt;mso-border-top-themecolor:text1;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;80&lt;/p&gt;   &lt;/td&gt;   &lt;td width="100" valign="top" style="width:74.75pt;border-top:none;border-left:   none;border-bottom:solid black 1.0pt;mso-border-bottom-themecolor:text1;   border-right:solid black 1.0pt;mso-border-right-themecolor:text1;mso-border-top-alt:   solid black .5pt;mso-border-top-themecolor:text1;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;80&lt;/p&gt;   &lt;/td&gt;   &lt;td width="107" valign="top" style="width:80.4pt;border-top:none;border-left:   none;border-bottom:solid black 1.0pt;mso-border-bottom-themecolor:text1;   border-right:solid black 1.0pt;mso-border-right-themecolor:text1;mso-border-top-alt:   solid black .5pt;mso-border-top-themecolor:text1;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;4,000&lt;/p&gt;   &lt;/td&gt;   &lt;td width="111" valign="top" style="width:83.2pt;border-top:none;border-left:   none;border-bottom:solid black 1.0pt;mso-border-bottom-themecolor:text1;   border-right:solid black 1.0pt;mso-border-right-themecolor:text1;mso-border-top-alt:   solid black .5pt;mso-border-top-themecolor:text1;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;0.25&lt;/p&gt;   &lt;/td&gt;   &lt;td width="89" rowspan="3" valign="top" style="width:66.65pt;border-top:none;   border-left:none;border-bottom:solid black 1.0pt;mso-border-bottom-themecolor:   text1;border-right:solid black 1.0pt;mso-border-right-themecolor:text1;   mso-border-top-alt:solid black .5pt;mso-border-top-themecolor:text1;   mso-border-left-alt:solid black .5pt;mso-border-left-themecolor:text1;   mso-border-alt:solid black .5pt;mso-border-themecolor:text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;8,750&lt;/p&gt;   &lt;/td&gt;  &lt;/tr&gt;  &lt;tr style="mso-yfti-irow:5"&gt;   &lt;td width="115" valign="top" style="width:86.05pt;border-top:none;border-left:   none;border-bottom:solid black 1.0pt;mso-border-bottom-themecolor:text1;   border-right:solid black 1.0pt;mso-border-right-themecolor:text1;mso-border-top-alt:   solid black .5pt;mso-border-top-themecolor:text1;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;100&lt;/p&gt;   &lt;/td&gt;   &lt;td width="100" valign="top" style="width:74.75pt;border-top:none;border-left:   none;border-bottom:solid black 1.0pt;mso-border-bottom-themecolor:text1;   border-right:solid black 1.0pt;mso-border-right-themecolor:text1;mso-border-top-alt:   solid black .5pt;mso-border-top-themecolor:text1;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;100&lt;/p&gt;   &lt;/td&gt;   &lt;td width="107" valign="top" style="width:80.4pt;border-top:none;border-left:   none;border-bottom:solid black 1.0pt;mso-border-bottom-themecolor:text1;   border-right:solid black 1.0pt;mso-border-right-themecolor:text1;mso-border-top-alt:   solid black .5pt;mso-border-top-themecolor:text1;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;10,000&lt;/p&gt;   &lt;/td&gt;   &lt;td width="111" valign="top" style="width:83.2pt;border-top:none;border-left:   none;border-bottom:solid black 1.0pt;mso-border-bottom-themecolor:text1;   border-right:solid black 1.0pt;mso-border-right-themecolor:text1;mso-border-top-alt:   solid black .5pt;mso-border-top-themecolor:text1;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;0.50&lt;/p&gt;   &lt;/td&gt;  &lt;/tr&gt;  &lt;tr style="mso-yfti-irow:6"&gt;   &lt;td width="115" valign="top" style="width:86.05pt;border-top:none;border-left:   none;border-bottom:solid black 1.0pt;mso-border-bottom-themecolor:text1;   border-right:solid black 1.0pt;mso-border-right-themecolor:text1;mso-border-top-alt:   solid black .5pt;mso-border-top-themecolor:text1;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;120&lt;/p&gt;   &lt;/td&gt;   &lt;td width="100" valign="top" style="width:74.75pt;border-top:none;border-left:   none;border-bottom:solid black 1.0pt;mso-border-bottom-themecolor:text1;   border-right:solid black 1.0pt;mso-border-right-themecolor:text1;mso-border-top-alt:   solid black .5pt;mso-border-top-themecolor:text1;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;100+20&lt;/p&gt;   &lt;/td&gt;   &lt;td width="107" valign="top" style="width:80.4pt;border-top:none;border-left:   none;border-bottom:solid black 1.0pt;mso-border-bottom-themecolor:text1;   border-right:solid black 1.0pt;mso-border-right-themecolor:text1;mso-border-top-alt:   solid black .5pt;mso-border-top-themecolor:text1;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;11,000&lt;/p&gt;   &lt;/td&gt;   &lt;td width="111" valign="top" style="width:83.2pt;border-top:none;border-left:   none;border-bottom:solid black 1.0pt;mso-border-bottom-themecolor:text1;   border-right:solid black 1.0pt;mso-border-right-themecolor:text1;mso-border-top-alt:   solid black .5pt;mso-border-top-themecolor:text1;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;0.25&lt;/p&gt;   &lt;/td&gt;  &lt;/tr&gt;  &lt;tr style="mso-yfti-irow:7"&gt;   &lt;td width="117" rowspan="3" valign="top" style="width:87.75pt;border:solid black 1.0pt;   mso-border-themecolor:text1;border-top:none;mso-border-top-alt:solid black .5pt;   mso-border-top-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;120&lt;/p&gt;   &lt;/td&gt;   &lt;td width="115" valign="top" style="width:86.05pt;border-top:none;border-left:   none;border-bottom:solid black 1.0pt;mso-border-bottom-themecolor:text1;   border-right:solid black 1.0pt;mso-border-right-themecolor:text1;mso-border-top-alt:   solid black .5pt;mso-border-top-themecolor:text1;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;80&lt;/p&gt;   &lt;/td&gt;   &lt;td width="100" valign="top" style="width:74.75pt;border-top:none;border-left:   none;border-bottom:solid black 1.0pt;mso-border-bottom-themecolor:text1;   border-right:solid black 1.0pt;mso-border-right-themecolor:text1;mso-border-top-alt:   solid black .5pt;mso-border-top-themecolor:text1;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;80&lt;/p&gt;   &lt;/td&gt;   &lt;td width="107" valign="top" style="width:80.4pt;border-top:none;border-left:   none;border-bottom:solid black 1.0pt;mso-border-bottom-themecolor:text1;   border-right:solid black 1.0pt;mso-border-right-themecolor:text1;mso-border-top-alt:   solid black .5pt;mso-border-top-themecolor:text1;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;0&lt;/p&gt;   &lt;/td&gt;   &lt;td width="111" valign="top" style="width:83.2pt;border-top:none;border-left:   none;border-bottom:solid black 1.0pt;mso-border-bottom-themecolor:text1;   border-right:solid black 1.0pt;mso-border-right-themecolor:text1;mso-border-top-alt:   solid black .5pt;mso-border-top-themecolor:text1;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;0.25&lt;/p&gt;   &lt;/td&gt;   &lt;td width="89" rowspan="3" valign="top" style="width:66.65pt;border-top:none;   border-left:none;border-bottom:solid black 1.0pt;mso-border-bottom-themecolor:   text1;border-right:solid black 1.0pt;mso-border-right-themecolor:text1;   mso-border-top-alt:solid black .5pt;mso-border-top-themecolor:text1;   mso-border-left-alt:solid black .5pt;mso-border-left-themecolor:text1;   mso-border-alt:solid black .5pt;mso-border-themecolor:text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;6,000&lt;/p&gt;   &lt;/td&gt;  &lt;/tr&gt;  &lt;tr style="mso-yfti-irow:8"&gt;   &lt;td width="115" valign="top" style="width:86.05pt;border-top:none;border-left:   none;border-bottom:solid black 1.0pt;mso-border-bottom-themecolor:text1;   border-right:solid black 1.0pt;mso-border-right-themecolor:text1;mso-border-top-alt:   solid black .5pt;mso-border-top-themecolor:text1;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;100&lt;/p&gt;   &lt;/td&gt;   &lt;td width="100" valign="top" style="width:74.75pt;border-top:none;border-left:   none;border-bottom:solid black 1.0pt;mso-border-bottom-themecolor:text1;   border-right:solid black 1.0pt;mso-border-right-themecolor:text1;mso-border-top-alt:   solid black .5pt;mso-border-top-themecolor:text1;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;100&lt;/p&gt;   &lt;/td&gt;   &lt;td width="107" valign="top" style="width:80.4pt;border-top:none;border-left:   none;border-bottom:solid black 1.0pt;mso-border-bottom-themecolor:text1;   border-right:solid black 1.0pt;mso-border-right-themecolor:text1;mso-border-top-alt:   solid black .5pt;mso-border-top-themecolor:text1;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;60,000&lt;/p&gt;   &lt;/td&gt;   &lt;td width="111" valign="top" style="width:83.2pt;border-top:none;border-left:   none;border-bottom:solid black 1.0pt;mso-border-bottom-themecolor:text1;   border-right:solid black 1.0pt;mso-border-right-themecolor:text1;mso-border-top-alt:   solid black .5pt;mso-border-top-themecolor:text1;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal;page-break-after:avoid"&gt;0.50&lt;/p&gt;   &lt;/td&gt;  &lt;/tr&gt;  &lt;tr style="mso-yfti-irow:9;mso-yfti-lastrow:yes"&gt;   &lt;td width="115" valign="top" style="width:86.05pt;border-top:none;border-left:   none;border-bottom:solid black 1.0pt;mso-border-bottom-themecolor:text1;   border-right:solid black 1.0pt;mso-border-right-themecolor:text1;mso-border-top-alt:   solid black .5pt;mso-border-top-themecolor:text1;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal"&gt;120&lt;/p&gt;   &lt;/td&gt;   &lt;td width="100" valign="top" style="width:74.75pt;border-top:none;border-left:   none;border-bottom:solid black 1.0pt;mso-border-bottom-themecolor:text1;   border-right:solid black 1.0pt;mso-border-right-themecolor:text1;mso-border-top-alt:   solid black .5pt;mso-border-top-themecolor:text1;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal"&gt;120&lt;/p&gt;   &lt;/td&gt;   &lt;td width="107" valign="top" style="width:80.4pt;border-top:none;border-left:   none;border-bottom:solid black 1.0pt;mso-border-bottom-themecolor:text1;   border-right:solid black 1.0pt;mso-border-right-themecolor:text1;mso-border-top-alt:   solid black .5pt;mso-border-top-themecolor:text1;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal"&gt;12,000&lt;/p&gt;   &lt;/td&gt;   &lt;td width="111" valign="top" style="width:83.2pt;border-top:none;border-left:   none;border-bottom:solid black 1.0pt;mso-border-bottom-themecolor:text1;   border-right:solid black 1.0pt;mso-border-right-themecolor:text1;mso-border-top-alt:   solid black .5pt;mso-border-top-themecolor:text1;mso-border-left-alt:solid black .5pt;   mso-border-left-themecolor:text1;mso-border-alt:solid black .5pt;mso-border-themecolor:   text1;padding:0in 5.4pt 0in 5.4pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:   normal"&gt;0.25&lt;/p&gt;   &lt;/td&gt;  &lt;/tr&gt; &lt;/tbody&gt;&lt;/table&gt;  &lt;p class="MsoNormal"&gt;&lt;o:p&gt; &lt;/o:p&gt;&lt;/p&gt;  &lt;p class="MsoNormal"&gt;&lt;b style="mso-bidi-font-weight:normal"&gt;&lt;i style="mso-bidi-font-style: normal"&gt;Notice that the availability of a more responsive option has tipped the balance in favor of local production, even though it is more expensive!&lt;span style="mso-spacerun:yes"&gt;  &lt;/span&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/i&gt;&lt;/b&gt;&lt;/p&gt;  &lt;p class="MsoNormal"&gt;The question that now arises is this: what is the cost of maintaining an option to produce locally?&lt;span style="mso-spacerun:yes"&gt;  &lt;/span&gt;In this example, the availability of a local option increased the bottom line by $500/week, even though a superficial analysis may dismiss this alternative as being more expensive.&lt;/p&gt;  &lt;h2&gt;Recommendations&lt;/h2&gt;  &lt;p class="MsoNormal"&gt;&lt;u&gt;Although the numerical example was unrealistic&lt;/u&gt;, it is thought-provoking because it defies intuition.&lt;span style="mso-spacerun:yes"&gt;  &lt;/span&gt;This is because most “intuitive” analysis is limited when it comes to understanding how forecast errors play out over time.&lt;span style="mso-spacerun:yes"&gt;  &lt;/span&gt;Before decisions regarding outsourcing and offshore production are made, one needs to ask a few questions:&lt;/p&gt;  &lt;p class="MsoListParagraph" style="margin-left:.5in;text-indent:-.25in; mso-list:l1 level1 lfo2"&gt;&lt;span style="font-family:Symbol; mso-fareast-font-family:Symbol;mso-bidi-font-family:Symbol;"&gt;&lt;span style="mso-list:Ignore"&gt;·&lt;span style="font:7.0pt &amp;quot;Times New Roman&amp;quot;"&gt;         &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;What is the effect of outsourcing and offshore production on the ability of the supply chain to respond quickly?&lt;span style="mso-spacerun:yes"&gt;  &lt;/span&gt;Keep in mind that outsourcing introduces delays in the flow of information that generally tend to go unaccounted for.&lt;/p&gt;  &lt;p class="MsoListParagraph" style="margin-left:.5in;text-indent:-.25in; mso-list:l1 level1 lfo2"&gt;&lt;span style="font-family:Symbol; mso-fareast-font-family:Symbol;mso-bidi-font-family:Symbol;"&gt;&lt;span style="mso-list:Ignore"&gt;·&lt;span style="font:7.0pt &amp;quot;Times New Roman&amp;quot;"&gt;         &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;How much more expensive is a more responsive alternative to outsourcing and offshore production?&lt;span style="mso-spacerun:yes"&gt;  &lt;/span&gt;How much more responsive is a more expensive alternative to outsourcing and offshore production?&lt;span style="mso-spacerun:yes"&gt;  &lt;/span&gt;&lt;/p&gt;  &lt;p class="MsoListParagraph" style="margin-left:.5in;text-indent:-.25in; mso-list:l1 level1 lfo2"&gt;&lt;span style="font-family:Symbol; mso-fareast-font-family:Symbol;mso-bidi-font-family:Symbol;"&gt;&lt;span style="mso-list:Ignore"&gt;·&lt;span style="font:7.0pt &amp;quot;Times New Roman&amp;quot;"&gt;         &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;How much is responsiveness worth?&lt;span style="mso-spacerun:yes"&gt;  &lt;/span&gt;This is a particularly important question for products with short life-cycles.&lt;span style="mso-spacerun:yes"&gt;  &lt;/span&gt;This is because such products live and die by the success of their launch and phase-out; these are the periods when the ability to respond to the market is crucial.&lt;/p&gt;  &lt;h2&gt;Conclusion&lt;/h2&gt;  &lt;p class="MsoNormal"&gt;As supply chains experience a growing volatility in demand, they must make adjustments to improve their ability to respond rapidly.&lt;span style="mso-spacerun:yes"&gt;  &lt;/span&gt;We contend that the conventional structure of supply chains tends to magnify the effects of volatility in demand because of long lead times and information delays.&lt;span style="mso-spacerun:yes"&gt;  &lt;/span&gt;Lead times grow due to outsourcing and offshore manufacture; demand becomes more volatile due to changing customer behavior; shorter life-cycles alter the calculus of managing uncertainty in supply chains through inventory.&lt;span style="mso-spacerun:yes"&gt;  &lt;/span&gt;We need to structure supply chains differently in the light of these factors.&lt;span style="mso-spacerun:yes"&gt;  &lt;/span&gt;Tools available to practitioners of supply chain design need to embrace the power of real options to help dampen the effects of demand volatility.&lt;span style="mso-spacerun:yes"&gt;  &lt;/span&gt;Much of what we propose here is well within the realm of the possible, even though some of it may appear non-intuitive at first sight. &lt;/p&gt;  &lt;div style="mso-element:footnote-list"&gt;&lt;br /&gt;&lt;hr align="left" size="1" width="33%"&gt;    &lt;div style="mso-element:footnote" id="ftn1"&gt;  &lt;p class="MsoFootnoteText"&gt;&lt;a style="mso-footnote-id:ftn1" href="file:///C:/Documents%20and%20Settings/Narayan%20V/My%20Documents/Professional/3rd%20eye/Mitrix/Article/blog%20post/Buying%20Flexibility%20to%20Manage%20Growing%20Supply%20Chain%20Risk%20v2.1.htm#_ftnref1" name="_ftn1" title=""&gt;&lt;span class="MsoFootnoteReference"&gt;&lt;span style="mso-special-character: footnote"&gt;&lt;span class="MsoFootnoteReference"&gt;&lt;span style="line-height:115%;font-family:&amp;quot;Calibri&amp;quot;,&amp;quot;sans-serif&amp;quot;; mso-ascii-theme-font:minor-latin;mso-fareast-font-family:Calibri;mso-fareast-theme-font: minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-Times New Roman&amp;quot;; mso-bidi-theme-font:minor-bidi;mso-ansi-language:EN-US;mso-fareast-language: EN-US;mso-bidi-language:AR-SAfont-family:&amp;quot;;font-size:10.0pt;"&gt;[1]&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/a&gt; This assumption simplifies the analysis significantly.&lt;span style="mso-spacerun:yes"&gt;  &lt;/span&gt;In reality, the revised forecast of demand once the season begins continues to remain uncertain, but it generally tends to be far better than the pre-season forecasts.&lt;span style="mso-spacerun:yes"&gt;  &lt;/span&gt;Early sales of a product are usually a very good indicator of the response of the marketplace to that product.&lt;span style="mso-spacerun:yes"&gt;  &lt;/span&gt;Once the early sales figures are in, there is a significant improvement in the quality of the forecast for the remainder of the season.&lt;span style="mso-spacerun:yes"&gt;  &lt;/span&gt;For simplicity, we take this phenomenon to the extreme by assuming that all uncertainty in demand disappears once the season begins.&lt;/p&gt;  &lt;/div&gt;  &lt;div style="mso-element:footnote" id="ftn2"&gt;  &lt;p class="MsoFootnoteText"&gt;&lt;a style="mso-footnote-id:ftn2" href="file:///C:/Documents%20and%20Settings/Narayan%20V/My%20Documents/Professional/3rd%20eye/Mitrix/Article/blog%20post/Buying%20Flexibility%20to%20Manage%20Growing%20Supply%20Chain%20Risk%20v2.1.htm#_ftnref2" name="_ftn2" title=""&gt;&lt;span class="MsoFootnoteReference"&gt;&lt;span style="mso-special-character: footnote"&gt;&lt;span class="MsoFootnoteReference"&gt;&lt;span style="line-height:115%;font-family:&amp;quot;Calibri&amp;quot;,&amp;quot;sans-serif&amp;quot;; mso-ascii-theme-font:minor-latin;mso-fareast-font-family:Calibri;mso-fareast-theme-font: minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-Times New Roman&amp;quot;; mso-bidi-theme-font:minor-bidi;mso-ansi-language:EN-US;mso-fareast-language: EN-US;mso-bidi-language:AR-SAfont-family:&amp;quot;;font-size:10.0pt;"&gt;[2]&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/a&gt; This too is a simplifying assumption; incorporating mark-downs will only complicate the model without fundamentally altering the argument.&lt;/p&gt;  &lt;/div&gt;  &lt;div style="mso-element:footnote" id="ftn3"&gt;  &lt;p class="MsoFootnoteText"&gt;&lt;a style="mso-footnote-id:ftn3" href="file:///C:/Documents%20and%20Settings/Narayan%20V/My%20Documents/Professional/3rd%20eye/Mitrix/Article/blog%20post/Buying%20Flexibility%20to%20Manage%20Growing%20Supply%20Chain%20Risk%20v2.1.htm#_ftnref3" name="_ftn3" title=""&gt;&lt;span class="MsoFootnoteReference"&gt;&lt;span style="mso-special-character: footnote"&gt;&lt;span class="MsoFootnoteReference"&gt;&lt;span style="line-height:115%;font-family:&amp;quot;Calibri&amp;quot;,&amp;quot;sans-serif&amp;quot;; mso-ascii-theme-font:minor-latin;mso-fareast-font-family:Calibri;mso-fareast-theme-font: minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-Times New Roman&amp;quot;; mso-bidi-theme-font:minor-bidi;mso-ansi-language:EN-US;mso-fareast-language: EN-US;mso-bidi-language:AR-SAfont-family:&amp;quot;;font-size:10.0pt;"&gt;[3]&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/a&gt; Clearly, this is an unrealistic assumption.&lt;span style="mso-spacerun:yes"&gt;  &lt;/span&gt;We use it purely for ease of exposition.&lt;/p&gt;  &lt;/div&gt;  &lt;div style="mso-element:footnote" id="ftn4"&gt;  &lt;p class="MsoFootnoteText"&gt;&lt;a style="mso-footnote-id:ftn4" href="file:///C:/Documents%20and%20Settings/Narayan%20V/My%20Documents/Professional/3rd%20eye/Mitrix/Article/blog%20post/Buying%20Flexibility%20to%20Manage%20Growing%20Supply%20Chain%20Risk%20v2.1.htm#_ftnref4" name="_ftn4" title=""&gt;&lt;span class="MsoFootnoteReference"&gt;&lt;span style="mso-special-character: footnote"&gt;&lt;span class="MsoFootnoteReference"&gt;&lt;span style="line-height:115%;font-family:&amp;quot;Calibri&amp;quot;,&amp;quot;sans-serif&amp;quot;; mso-ascii-theme-font:minor-latin;mso-fareast-font-family:Calibri;mso-fareast-theme-font: minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-Times New Roman&amp;quot;; mso-bidi-theme-font:minor-bidi;mso-ansi-language:EN-US;mso-fareast-language: EN-US;mso-bidi-language:AR-SAfont-family:&amp;quot;;font-size:10.0pt;"&gt;[4]&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/a&gt; 80 units made in China + 20 units made locally.&lt;/p&gt;  &lt;/div&gt;  &lt;div style="mso-element:footnote" id="ftn5"&gt;  &lt;p class="MsoFootnoteText"&gt;&lt;a style="mso-footnote-id:ftn5" href="file:///C:/Documents%20and%20Settings/Narayan%20V/My%20Documents/Professional/3rd%20eye/Mitrix/Article/blog%20post/Buying%20Flexibility%20to%20Manage%20Growing%20Supply%20Chain%20Risk%20v2.1.htm#_ftnref5" name="_ftn5" title=""&gt;&lt;span class="MsoFootnoteReference"&gt;&lt;span style="mso-special-character: footnote"&gt;&lt;span class="MsoFootnoteReference"&gt;&lt;span style="line-height:115%;font-family:&amp;quot;Calibri&amp;quot;,&amp;quot;sans-serif&amp;quot;; mso-ascii-theme-font:minor-latin;mso-fareast-font-family:Calibri;mso-fareast-theme-font: minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-Times New Roman&amp;quot;; mso-bidi-theme-font:minor-bidi;mso-ansi-language:EN-US;mso-fareast-language: EN-US;mso-bidi-language:AR-SAfont-family:&amp;quot;;font-size:10.0pt;"&gt;[5]&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/a&gt; Explanation: In this case, the brand owner asks the Chinese supplier to make 80 units/week starting April 1, 2009.&lt;span style="mso-spacerun:yes"&gt;  &lt;/span&gt;By July 1, 2009, first 80 units reach the store shelves.&lt;span style="mso-spacerun:yes"&gt;  &lt;/span&gt;Each subsequent week, another batch of 80 units arrives.&lt;span style="mso-spacerun:yes"&gt;  &lt;/span&gt;It costs $200 to get each of these widgets to the store-shelf.&lt;span style="mso-spacerun:yes"&gt;  &lt;/span&gt;Since the demand turns out to be 100, the brand owner triggers an additional 20 units/week from his local facility at a cost of $250/unit.&lt;span style="mso-spacerun:yes"&gt;  &lt;/span&gt;In total, the cost is $21,000/week (i.e., 80x$200 + 20x$250).&lt;span style="mso-spacerun:yes"&gt;  &lt;/span&gt;These 100 widgets earn $30,000 in revenue.&lt;span style="mso-spacerun:yes"&gt;  &lt;/span&gt;This results in a margin of $9,000 per week.&lt;/p&gt;  &lt;/div&gt;&lt;/div&gt;&lt;div class="blogger-post-footer"&gt;&lt;img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/6215755470705274256-3757151021700822351?l=blog.dot3rdeye.com' alt='' /&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://blog.dot3rdeye.com/feeds/3757151021700822351/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://blog.dot3rdeye.com/2010/08/buying-flexibility-to-manage-growing_03.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/6215755470705274256/posts/default/3757151021700822351'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/6215755470705274256/posts/default/3757151021700822351'/><link rel='alternate' type='text/html' href='http://blog.dot3rdeye.com/2010/08/buying-flexibility-to-manage-growing_03.html' title='Buying Flexibility to Manage Growing Supply Chain Risk'/><author><name>narayan</name><uri>http://www.blogger.com/profile/11425282019153096667</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='http://img2.blogblog.com/img/b16-rounded.gif'/></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-6215755470705274256.post-7819331812818244198</id><published>2010-05-09T19:00:00.000-07:00</published><updated>2010-05-09T19:10:12.818-07:00</updated><title type='text'>ackoff's fables</title><content type='html'>in a prior entry titled "&lt;a href="http://blog.dot3rdeye.com/2010/04/operations-research-is-dead.html"&gt;Operations Research is dead&lt;/a&gt;", i had proposed to write a series of entries each touching on a particular part of a pair of papers written by ackoff in the late 70s.&lt;div&gt;&lt;br /&gt;&lt;/div&gt;&lt;div&gt;the early entries will focus on his critique of OR as it appears in the paper titled "The Future of Operational Research is Past".&lt;/div&gt;&lt;div&gt;&lt;br /&gt;&lt;/div&gt;&lt;div&gt;i will begin with what his students called one of "ackoff's fables". it focuses on a review of the work done by a team of highly-educated practitioners of OR. i have reproduced below a slightly edited version of what appears in a section of that paper and interspersed it with my comments:&lt;/div&gt;&lt;div&gt;&lt;blockquote&gt;"... they showed me what they referred to as their "evaluation of the results." Over a reasonably long period of time they had recorded the decisions actually made and implemented by the responsible managers and had fed these decisions into their model and calculated the total related operating costs. They had then compared these costs with those associated with the optimal solution derived from the same model. ... The optimal solutions were consistently better than those of the managers. Using these differences they had estimated an annual saving which they had used successfully in convincing management to adopt their model and optimizing procedure."&lt;/blockquote&gt;&lt;/div&gt;&lt;div&gt;so far, this sounds like a text-book approach to justifying the cost incurred in implementing an OR model.&lt;/div&gt;&lt;div&gt;&lt;blockquote&gt;"... The optimal solution of a model is not an optimal solution of a problem unless the model is a perfect representation of the problem, which it never is. Therefore, in testing a model and evaluating solutions derived from it, the model itself should never be used to determine the relevant comparative performance measures. The only thing demonstrated by so doing is that the minimum or maximum of a function is lower or higher than a non-minimum or non-maximum."&lt;/blockquote&gt;&lt;/div&gt;&lt;div&gt;ackoff starts by making a point that many practitioners tend to lose sight: in order to justify their work, the research team ought to make their case by checking if that was indeed the best solution &lt;i&gt;in the real world&lt;/i&gt;, not just in the fictitious world of the model. quite often, because of the shortcomings of the model, the solution is found to be infeasible.  because of approximations in the measure of goodness used, the solution, even if feasible, is the best with respect to a "wrong" objective function. &lt;/div&gt;&lt;div&gt;&lt;br /&gt;&lt;/div&gt;&lt;div&gt;nevertheless -- and this is where i find ackoff's judgment a trifle harsh -- the optimal solution to an imperfect model is often pretty close to a good solution in the real world. bridging this gap is a tricky problem that is rarely addressed well by the system; users who see the potential of a good starting point can often work wonders with it. one must presume that the team that was under ackoff's microscope had missed this subtle but all too important point. this is apparent from what he says next:&lt;/div&gt;&lt;div&gt;&lt;/div&gt;&lt;blockquote&gt;&lt;div&gt;"All models are simplifications of reality. ... Therefore, it is critical to determine how well models represent reality. In this project the team had not done so."&lt;/div&gt;&lt;/blockquote&gt;&lt;div&gt;&lt;/div&gt;&lt;div&gt;what makes this matter even more curious is what he says next:&lt;/div&gt;&lt;div&gt;&lt;blockquote&gt;"... The researchers went on to tell me how the managers had invariably modified the optimal solution to take into account factors that were not taken into account in the model. Furthermore, the team confessed that it had not carried out any analysis of the nature of the adjustments made by managers or their effects. When I pressed for an explanation of this oversight, I was told that the nature of the factors considered by the managers precluded their inclusion in a mathematical model. Voilá again!"&lt;/blockquote&gt;&lt;/div&gt;&lt;div&gt;one can't help asking: weren't these researchers even mildly curious?&lt;/div&gt;&lt;div&gt;&lt;br /&gt;&lt;/div&gt;&lt;div&gt;this is another recurring problem with the application of optimization in the real world. inebriated by the power of their models and algorithms, OR professionals dismiss the accumulated knowledge of their intended users. instead, they go into head-to-head competition with them. they fail to recognize that their models are imperfect. but even imperfect models can be useful but not if they disregard what the users of those models know over and above what the models do.&lt;/div&gt;&lt;div&gt;&lt;br /&gt;&lt;/div&gt;&lt;div&gt;after this, the story plays out as you would expect it to:&lt;/div&gt;&lt;div&gt;&lt;/div&gt;&lt;blockquote&gt;&lt;div&gt;"Then came the climactic revelation. After about six months the managers had discontinued use of the model because of a significant change in the environment of the system. This change was political in character. When I asked why they had not tried to incorporate the relevant politics into their model, I was told that such changes are neither quantifiable nor predictable.&lt;/div&gt;&lt;div&gt;&lt;br /&gt;&lt;/div&gt;&lt;div&gt;It should be apparent by now that if the researchers had, in fact, solved a problem, it was not the problem that the managers had."&lt;/div&gt;&lt;div&gt;&lt;/div&gt;&lt;/blockquote&gt;&lt;div&gt;i believe that ackoff's fable is extremely valuable but not as a nail in the coffin of OR. this is more a cautionary tale for all practitioners, a tale that ought to teach us to be humble in the face of knowledge that our models do not, and quite often cannot, comprehend.&lt;/div&gt;&lt;div&gt;&lt;br /&gt;&lt;/div&gt;&lt;div&gt;in subsequent entries, i will touch upon some of the more serious attacks on OR that ackoff launches.&lt;/div&gt;&lt;div class="blogger-post-footer"&gt;&lt;img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/6215755470705274256-7819331812818244198?l=blog.dot3rdeye.com' alt='' /&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://blog.dot3rdeye.com/feeds/7819331812818244198/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://blog.dot3rdeye.com/2010/05/ackoffs-fables.html#comment-form' title='1 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/6215755470705274256/posts/default/7819331812818244198'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/6215755470705274256/posts/default/7819331812818244198'/><link rel='alternate' type='text/html' href='http://blog.dot3rdeye.com/2010/05/ackoffs-fables.html' title='ackoff&apos;s fables'/><author><name>narayan</name><uri>http://www.blogger.com/profile/11425282019153096667</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='http://img2.blogblog.com/img/b16-rounded.gif'/></author><thr:total>1</thr:total></entry><entry><id>tag:blogger.com,1999:blog-6215755470705274256.post-3995344274446560854</id><published>2010-04-27T20:22:00.001-07:00</published><updated>2010-04-27T20:30:04.759-07:00</updated><title type='text'>Operations Research is dead</title><content type='html'>&lt;div&gt;those are the words of Russell Ackoff who, according to wikipedia, is "an American organizational theorist, consultant, and Anheuser-Busch Professor Emeritus of Management Science at the Wharton School, University of Pennsylvania. Ackoff is a pioneer in the field of operations research, systems thinking and management science."&lt;/div&gt;&lt;div&gt;&lt;br /&gt;&lt;/div&gt;&lt;div&gt;about three decades ago, ackoff -- then an operations researcher himself -- wrote a pair of papers titled "The Future of Operational Research is Past" and "Resurrecting the Future of Operational Research". (for those who are curious about minutiae, the acronym OR translates to Operations Research in the US but into Operational Research in Europe, probably for historical reasons.) these articles were published in successive issues of the Journal of Operational Research Society.&lt;/div&gt;&lt;div&gt;&lt;br /&gt;&lt;/div&gt;&lt;div&gt;ackoff makes several damning indictments of the field of OR. it is not my intent to defend OR. it could be argued the fact that OR survives thirty years after those papers were written is defense enough. nevertheless, there are several points that ackoff makes that ought to be of interest to this audience. practitioners of OR may recognize that some of the criticism he offers is valid to this day.&lt;/div&gt;&lt;div&gt;&lt;br /&gt;&lt;/div&gt;&lt;div&gt;the two papers are worth reading in their entirety. given that you're reading this blog, i suspect that you may not be inclined to read something quite as heavy as a pair of journal papers. in my opinion, ackoff's paper is better nibbled on and chewed carefully rather than swallowed whole. to make it easier for you, i plan to produce excerpts from those papers and comment on each of them. each entry in this series is intended to highlight an aspect of ackoff's pronouncement of the death of OR or an element of his recommendation for its resurrection. stay tuned ...&lt;/div&gt;&lt;div class="blogger-post-footer"&gt;&lt;img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/6215755470705274256-3995344274446560854?l=blog.dot3rdeye.com' alt='' /&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://blog.dot3rdeye.com/feeds/3995344274446560854/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://blog.dot3rdeye.com/2010/04/operations-research-is-dead.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/6215755470705274256/posts/default/3995344274446560854'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/6215755470705274256/posts/default/3995344274446560854'/><link rel='alternate' type='text/html' href='http://blog.dot3rdeye.com/2010/04/operations-research-is-dead.html' title='Operations Research is dead'/><author><name>narayan</name><uri>http://www.blogger.com/profile/11425282019153096667</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='http://img2.blogblog.com/img/b16-rounded.gif'/></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-6215755470705274256.post-7158430952393480568</id><published>2010-04-10T19:32:00.000-07:00</published><updated>2010-05-01T10:14:32.152-07:00</updated><title type='text'>back to the roots</title><content type='html'>&lt;span class="Apple-style-span"  style="  border-collapse: collapse; color: rgb(51, 51, 51); line-height: 18px; -webkit-border-horizontal-spacing: 2px; -webkit-border-vertical-spacing: 2px; font-family:'trebuchet ms', verdana, arial, sans-serif;"&gt;&lt;span class="Apple-style-span"  style="font-size:small;"&gt;for those unfamiliar with pune (or poona as it was known before the anglicized version was dropped), it is a city in western india that has, over the last decade or so, quietly established itself alongside bangalore and hyderabad as a hotspot for tech activity. it is the home of &lt;/span&gt;&lt;a href="http://punetech.com/" style="font-weight: bold; color: rgb(51, 102, 204); "&gt;&lt;span class="Apple-style-span"  style="font-size:small;"&gt;PuneTech.com&lt;/span&gt;&lt;/a&gt;&lt;span class="Apple-style-span"  style="font-size:small;"&gt; a site that "brings together in one place all information about interesting software technology in Pune - the companies, the tech user groups and organizations, the people, and the technologies, the news and the events."&lt;br /&gt;&lt;br /&gt;&lt;/span&gt;&lt;/span&gt;&lt;div&gt;&lt;span class="Apple-style-span"  style="  border-collapse: collapse; color: rgb(51, 51, 51); line-height: 18px; -webkit-border-horizontal-spacing: 2px; -webkit-border-vertical-spacing: 2px; font-family:'trebuchet ms', verdana, arial, sans-serif;"&gt;&lt;span class="Apple-style-span"  style="font-size:small;"&gt;last year, amit paranajape, a friend, former colleague, and co-founder of PuneTech.com encouraged me to write a piece about "optimization" for publication in PuneTech. for reasons that may have something to do with the fact that i've made a living for a couple of decades as a practitioner of that dark art known as optimization, he felt that i was best qualified to write about the subject for an audience that was technically savvy but not necessarily aware of the application of optimization. it took me a while to overcome my initial reluctance: is there really an audience for this? after all, even my daughter feigns disgust every time i bring up the topic of what i do. after some thought, i accepted the challenge as long as i could take a slightly unusual approach to a "technical" topic: i decided to personalize it by rooting it in a personal-professional experience. i could then branch off into a variety of different aspects of that experience, some technical, some not so much. &lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div&gt;&lt;span class="Apple-style-span"  style="  border-collapse: collapse; color: rgb(51, 51, 51); line-height: 18px; -webkit-border-horizontal-spacing: 2px; -webkit-border-vertical-spacing: 2px; font-family:'trebuchet ms', verdana, arial, sans-serif;"&gt;&lt;span class="Apple-style-span"  style="font-size:small;"&gt;&lt;br /&gt;what followed was a series of postings that began with "&lt;/span&gt;&lt;a href="http://punetech.com/optimization-a-case-study/" style="font-weight: bold; color: rgb(51, 102, 204); "&gt;&lt;span class="Apple-style-span"  style="font-size:small;"&gt;Optimization: A case study&lt;/span&gt;&lt;/a&gt;&lt;span class="Apple-style-span"  style="font-size:small;"&gt;". in this entry, i recounted the details of one of my first engagements as a professional. it was an experience that was rich with potential for learning, perhaps made more so by the combination of boundless enthusiasm and naivete that are hallmarks of a young man who is has been recently unleashed on the real world.&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div&gt;&lt;span class="Apple-style-span"  style="  border-collapse: collapse; color: rgb(51, 51, 51); line-height: 18px; -webkit-border-horizontal-spacing: 2px; -webkit-border-vertical-spacing: 2px; font-family:'trebuchet ms', verdana, arial, sans-serif;"&gt;&lt;span class="Apple-style-span"  style="font-size:small;"&gt;&lt;br /&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div&gt;&lt;span class="Apple-style-span"  style="  border-collapse: collapse; color: rgb(51, 51, 51); line-height: 18px; -webkit-border-horizontal-spacing: 2px; -webkit-border-vertical-spacing: 2px; font-family:'trebuchet ms', verdana, arial, sans-serif;"&gt;&lt;span class="Apple-style-span"  style="font-size:small;"&gt;i followed this with a series of articles, each of which was intended to expand on a particular aspect of the learning experience.&lt;br /&gt;&lt;br /&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div&gt;&lt;span class="Apple-style-span"  style="  border-collapse: collapse; color: rgb(51, 51, 51); line-height: 18px; -webkit-border-horizontal-spacing: 2px; -webkit-border-vertical-spacing: 2px; font-family:'trebuchet ms', verdana, arial, sans-serif;"&gt;&lt;span class="Apple-style-span"  style="font-size:small;"&gt;in the first of the follow-up articles titled "&lt;/span&gt;&lt;a href="http://punetech.com/architecture-of-a-decision-support-system/" style="font-weight: bold; color: rgb(51, 102, 204); "&gt;&lt;span class="Apple-style-span"  style="font-size:small;"&gt;Architecture of a decision-support system&lt;/span&gt;&lt;/a&gt;&lt;span class="Apple-style-span"  style="font-size:small;"&gt;", i shared my ideas on how one ought to think about decision-support systems. the ideas i present there are not exactly earth-shattering. instead, they are born from the many scars that i bear from the times when i let my technical training get ahead of the needs for decision-making in the real world.&lt;br /&gt;&lt;br /&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div&gt;&lt;span class="Apple-style-span"  style="  border-collapse: collapse; color: rgb(51, 51, 51); line-height: 18px; -webkit-border-horizontal-spacing: 2px; -webkit-border-vertical-spacing: 2px; font-family:'trebuchet ms', verdana, arial, sans-serif;"&gt;&lt;span class="Apple-style-span"  style="font-size:small;"&gt;in the next piece titled "&lt;/span&gt;&lt;a href="http://punetech.com/optimization-and-organizational-readiness-for-change/" style="font-weight: bold; color: rgb(51, 102, 204); "&gt;&lt;span class="Apple-style-span"  style="font-size:small;"&gt;Optimization and Organizational Readiness for Change&lt;/span&gt;&lt;/a&gt;&lt;span class="Apple-style-span"  style="font-size:small;"&gt;", i reflected on the pitfalls of diving head-first into implementing a technology-based solution without ensuring that the seeds are being planted into fertile, receptive soil.&lt;br /&gt;&lt;br /&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div&gt;&lt;span class="Apple-style-span"  style="  border-collapse: collapse; color: rgb(51, 51, 51); line-height: 18px; -webkit-border-horizontal-spacing: 2px; -webkit-border-vertical-spacing: 2px; font-family:'trebuchet ms', verdana, arial, sans-serif;"&gt;&lt;span class="Apple-style-span"  style="font-size:small;"&gt;in the last of the pieces titled "&lt;/span&gt;&lt;a href="http://punetech.com/optimization-a-technical-overview/" style="font-weight: bold; color: rgb(51, 102, 204); "&gt;&lt;span class="Apple-style-span"  style="font-size:small;"&gt;Optimization: A Technical Overview&lt;/span&gt;&lt;/a&gt;&lt;span class="Apple-style-span"  style="font-size:small;"&gt;", i touched upon the areas of study that have contributed to the body of knowledge and software that are the tools of my trade.&lt;br /&gt;&lt;br /&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div&gt;&lt;span class="Apple-style-span"  style="  border-collapse: collapse; color: rgb(51, 51, 51); line-height: 18px; -webkit-border-horizontal-spacing: 2px; -webkit-border-vertical-spacing: 2px; font-family:'trebuchet ms', verdana, arial, sans-serif;"&gt;&lt;span class="Apple-style-span"  style="font-size:small;"&gt;i'm sure there is much more to write about. i hope that the discussions that this entry will spawn will generate fresh insights.&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class="blogger-post-footer"&gt;&lt;img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/6215755470705274256-7158430952393480568?l=blog.dot3rdeye.com' alt='' /&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://blog.dot3rdeye.com/feeds/7158430952393480568/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://blog.dot3rdeye.com/2010/04/back-to-roots.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/6215755470705274256/posts/default/7158430952393480568'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/6215755470705274256/posts/default/7158430952393480568'/><link rel='alternate' type='text/html' href='http://blog.dot3rdeye.com/2010/04/back-to-roots.html' title='back to the roots'/><author><name>narayan</name><uri>http://www.blogger.com/profile/11425282019153096667</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='http://img2.blogblog.com/img/b16-rounded.gif'/></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-6215755470705274256.post-4494962148651269322</id><published>2010-02-23T22:59:00.000-08:00</published><updated>2010-02-23T09:28:18.926-08:00</updated><title type='text'>why a blog?</title><content type='html'>when i first started toying with the idea of having a functioning website for my fledgling company, i had this vague notion that a blog would be an integral part of it.  i wasn't entirely sure why -- i had no experience with blogs back then -- but i was convinced of the idea.  &lt;div&gt;&lt;br /&gt;&lt;/div&gt;&lt;div&gt;upon further reflection, i realized that my instinctive decision to blog was well-founded.  a functioning blog embodies a couple of things that i strongly believe in:&lt;div&gt;&lt;ol&gt;&lt;li&gt;the act of writing down one's ideas is immensely powerful.  the idea of putting things down on paper (or a screen) forces one to think through one's ideas carefully and critically.  it exposes any gaps in the premise, any inconsistencies in the logic, any loose ends in the train of thought; in short, it forces us to rid our thinking of the intellectual sloppiness that one can carry around in our heads.  &lt;/li&gt;&lt;li&gt;publishing is an obvious (though not always necessary) follow-on to writing.  because of my professional network, i can publish my thoughts to an audience that can be counted on to be knowledgeable, thoughtful, expressive, and constructive.  i expect my ideas to be rejected, challenged, supported, and built upon.  i hope that the output of the collective will amount to something more than what any one of the participants could have achieved.&lt;/li&gt;&lt;/ol&gt;this blog is expected to work in a variety of ways:&lt;/div&gt;&lt;div&gt;&lt;div&gt;&lt;div&gt;&lt;div&gt;&lt;ul&gt;&lt;li&gt;it will serve as a sand-box in which i will play around with ideas that may have crossed my mind during the course of my professional engagements. &lt;/li&gt;&lt;li&gt;i hope that the people in my professional network will engage actively in the discussions my ideas initiate.&lt;/li&gt;&lt;li&gt;i intend to invite more active participation by encouraging the more adventurous and forthcoming members of this network to chip in with ideas of their own.&lt;/li&gt;&lt;li&gt;besides being a breeding ground for new ideas, this blog will also serve as a repository for interesting ideas published elsewhere as long as they are accompanied by thoughtful commentary on those ideas.  i'm sure there is a lot that we can learn from works published elsewhere.  this may take the form of interesting books and articles that one comes across.  this may even take the form of recent events (as long as there is a bigger point to be made -- i'm sure that there are better forums for raw news).&lt;/li&gt;&lt;/ul&gt;&lt;div&gt;i'm sure that the possibilities for a blog like this are endless.  i'm sure my thoughts on this blog will grow and change over time.  for now, this is what i think it is.&lt;/div&gt;&lt;div&gt;&lt;br /&gt;&lt;/div&gt;&lt;div&gt;i must admit that there is no dearth of blogs written by people with backgrounds like mine.  many of my former colleagues have blogs of their own.  each of them brings their own personal touch to their contributions.  i hope my blog will add a new dimension into this mix.  it is my intent to help make this a greenhouse for new ideas.  i realize that this is a lofty goal.  i know i have taken a step in the right direction if i can point to one good idea that is born here ... &lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="blogger-post-footer"&gt;&lt;img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/6215755470705274256-4494962148651269322?l=blog.dot3rdeye.com' alt='' /&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://blog.dot3rdeye.com/feeds/4494962148651269322/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://blog.dot3rdeye.com/2009/06/why-blog.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/6215755470705274256/posts/default/4494962148651269322'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/6215755470705274256/posts/default/4494962148651269322'/><link rel='alternate' type='text/html' href='http://blog.dot3rdeye.com/2009/06/why-blog.html' title='why a blog?'/><author><name>narayan</name><uri>http://www.blogger.com/profile/11425282019153096667</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='http://img2.blogblog.com/img/b16-rounded.gif'/></author><thr:total>0</thr:total></entry></feed>
