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Unformatted text preview: UIUC MATH 482 Test 1 (Spring 2011) Instructions: • This test has 8 pages including this cover sheet. • Answer 4 of the 5 problems given below. (I will grade all 5 problems and score you on the best 4.) • Each problem is scored out of 5 points. • This test is out of 20 points. • Justify all of your steps to ensure full credit. • No calculators or other aids are permitted. • Write your name and ID below and on every page. • Make your student ID available. NAME: STUDENT ID: 1 2 Q1. Solve the following LP by drawing the feasible region. Be sure to label the coordinates of all the corners. Determine if the problem is feasible, infeasible or unbounded. If you believe it takes a finite maximum, determine where this occurs and justify your answer. max − y + 5 x subject to − x + y ≤ 2 x + y ≤ 6 x ≤ 5 x, y ≥ . Remark 1. The maximum occurs at the intersection of the line x = 5 and y = 0 and hence at (5 , 0) . The maximum value is therefore 25 . (One can check all of the other corners of the feasible region give smaller objective values.) 3 Q2. For each question, circle exactly one answer. Every question hasQ2....
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 Spring '08
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 Math, Optimization, Standard form, feasible LP

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