practice482.lecture10solns - U. of Illinois MATH 482...

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Unformatted text preview: U. of Illinois MATH 482 Lecture 10 In class exercises Work in groups of three. If you have a solution to one of the problems, check it with your teammates and convince them. Then please consider presenting your solution to the class. Feel free to use any resources (pivot tool, help from teammates, instructor etc) I will further discuss any solutions not covered after I return, as well as post brief solution comments. 1. In lecture 10 you were asked to solve (P) minimize z = 5 x 1 + 35 x 2 + 20 x 3 subject to x 1 + x 2 + x 3 2 x 1 + 3 x 2 3 subject to x 1 , x 2 , x 3 0. Now state the dual problem and apply (primal) simplex. Compare the operations you used to solve (P) using dual simplex. See pg 83 Figure 3-8. 1 2 (page intentionally left blank) 3 2. If you already havent, solve Q3 from the Lecture 8 in class exer- cises. Namely, prove that the dual LP of the dual LP of the primal LP (max c x subject to Ax b , x 0) is the primal LP. 4 3. (Textbook, Q11) Answer true or false:3....
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practice482.lecture10solns - U. of Illinois MATH 482...

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