practice test 1 solution - UIUC MATH 482 Practice Test 1...

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Unformatted text preview: UIUC MATH 482 Practice Test 1 Solutions (Spring 2011) Instructions: • 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. Construct an appropriate linear program for the following problem (do not solve it). State what quantities the variables represent. A customer orders 5 pounds of ground beef that contains at least 17% protein and at least 20% fat. The butcher grind up several cuts of beef to form this blend from the cuts given in the table. Which cuts should the butcher use to minimize his cost? chuck porterhouse round sirloin % protein 19 16 19 17 % fat 16 25 11 20 $ per pound .69 1.39 1.19 1.65 Remark 1. Let x 1 be the number of pounds of chuck, x 2 for porter- house, x 3 for round, and x 4 for sirloin. Then the butcher wishes to solve min . 69 x 1 +1 . 39 x 2 +1 . 19 x 3 1 . 65 x 4 subject to x 1 + x 2 + x 3 + x 4 = 5 . 19 x 1 + . 16 x 2 + .....
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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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practice test 1 solution - UIUC MATH 482 Practice Test 1...

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