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Unformatted text preview: U. of Illinois MATH 482 Lecture 8 In class exercises The goal of this worksheet is to introduce to you the concepts and motivations of the theory of duality in linear programming. This is the topic of chapter 3 of the textbook 1. Consider the following resource allocation problem: UIUCbucks makes three kinds of coffee drinks (UIUcap, Illinice coffee and the 482) which uses their very special (trademark) coffee beans and very special local, organic milk. They do so well with it, that they just make a bunch and sell it to stores, rather than dealing with the hassle of opening a caf e themselves. (a) Write down an LP that describes how much of each drink they should make in order to maximize profit subject to the fact that they only have b beans and b milk worth of coffee and milk. (You may use the variables x UIU cap etc to represent the amount of UIUcap made, and the constant c UIU cap to represent the amount of profit made per UIU cap sold. Also, let a beans,UIU cap be the amount of beans needed to make one unit of UIUcap....
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 Spring '08
 Staff
 Linear Programming

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