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

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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 haven’t, 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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This note was uploaded on 02/19/2012 for the course MATH 482 taught by Professor Staff during the Spring '08 term at University of Illinois, Urbana Champaign.

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

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