Chapter 2 Practice Problems

Chapter 2 Practice Problems - Chapter 2 Practice Problems...

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Unformatted text preview: Chapter 2 Practice Problems 20) 21) maximize Z = 5x1 + 8x2 + 0s1 + 0s3 + 0s4 subject to: 3x1 + 5x2 + s1 = 50 2x1 + 4x2 + s2 = 40 x1 + s3 = 8 x2 + s4 = 10 x1, x2 0 A: s1 = 0, s2 = 0, s3 = 8, s4 = 0 B: s1 = 0, s2 = 3.2, s3 = 0, s4 = 4.8 C: s1 = 26, s2 = 24, s3 = 0, s4 = 10 29) 30) The problem becomes infeasible 31) 36) Let x1 = hours to operate mine 1 x2 = hours to operate mine 2 minimize Z = 200x1 + 160x2 subject to 6x1 + 2x2 12 (highgrade ore, tons) 2x1 + 2x2 8 (mediumgrade ore, tons) 4x1 + 12x2 24 (lowgrade ore, tons) x1,x2 0 50) Let s = number of instate students accepted n = number of outofstate students accepted Maximize Z = $7,600s + 22,500n subject to s + n 3,500 .4s + .6n 0 .12s + .24n 600 s, n 0 Optimal solution: Intersection of the 40% out of state and 3500 max students constraints: .4s + .6n <= 0 s + n <= 3500 s=2100, n=1400 7600(2100) + 22500(1400) = 47,460,000 ...
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