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homework-12 - bounded P ′ min x 1 x 2 x 1-x 2 = b 1 x 1 x...

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MthSc810 – Mathematical Programming Fall 2011, Homework #12. Due Tuesday, November 29, 2011, 6PM EDT. From the syllabus: homework will be penalized 50% for each day they are late. After two days, they will not be accepted. No exception. Problem 1. For each of the following problems, represent on a Cartesian plane the set of points ( b 1 ,b 2 ) such that the problem is bounded, infeasible, or un-
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Unformatted text preview: bounded. P ′ : min x 1 + x 2 x 1-x 2 = b 1 x 1 + x 2 = b 2 P ′′ : min x 1 x 1 ≥ b 1 x 1 ≤ b 2 P ′′′ : min-x 1-x 2 2 x 1 + x 2 ≤ b 1 x 1 + 2 x 2 ≤ b 2 x 1 , x 2 ≥ An example of how the result should look like is in the following ±gure: Problem 2. Solve problem 5.10 in the textbook....
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