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Unformatted text preview: UIUC MATH 482 Practice Test 3 (Spring 2011) Instructions: • This test has 9 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 1. Perform one iteration of the primaldual algorithm on the fol lowing primal linear program. Start with the dually feasible vector π ′ = [0 , 1 / 4]. min x 1 +3 x 2 + x 3 = z subject to 2 x 1 3 x 2 + x 3 = 2 4 x 1 + x 3 = 6 x 1 , x 2 , x 3 ≥ What is the new π and the new J after the iteration? Solution: The dual linear program D is max 2 π 1 +6 π 2 subject to 2 π 1 +4 π 2 ≤ 1 3 π 1 ≤ 3 π 1 + π 2 ≤ 1 π 1 , π 2 ⋚ For the given π , only the first constraint is binding, so J = { 1 } ....
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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.
 Spring '08
 Staff
 Math

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