Solution - CSA 273 Problem #1 Mine 1 2 Requirement(lbs)...

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CSA 273 Solutions to Homework #6 Problem #1 Mine Gold (lbs/day) Silver (lbs/day) 1 2 2 2 1 3 Requirement(lbs) 12 18 Formulation: Let x i = Number of days Goldilocks spends in mine i (i=1,2). Minimize x 1 + x 2 St 2x 1 + x 2 ≥12 (Gold requirement) 2x 1 + 3x 2 ≥18 (Silver requirement) x 1 , x 2 ≥ 0 From Excel constraint graph, optimal solution occurs where Gold and Silver constraint line intersect. 2x 1 + x 2 =12 2x 1 + 3x 2 =18 x 1 =4.5 days, x 2 =3 days Goldilocks should spend 4.5 days in Mine 1 and 3 days in Mine 2. Problem #2 Constraints will be same as in example, only objective function will change. January Costs x 1,idle = 65-50- x 1,train = 15- x 1,train Salary=4000(50)+4000x 1,train + 3000(15-x 1,train ) Training costs = 2800*5 x 1,train Total January Cost =245,000 + 15000 x 1,train February Costs Number of stewardesses available = 65+4* x 1,train x 2,idle = 65+4* x 1,train -75- x 2,train = 4* x 1,train - x 2,train -10 Salary = 4000(75) + 4000* x 2,train + 3000(4* x 1,train - x
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This note was uploaded on 04/17/2008 for the course CSA 273 taught by Professor Patton during the Spring '08 term at Miami University.

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Solution - CSA 273 Problem #1 Mine 1 2 Requirement(lbs)...

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