hw8 - AMS 540 / MBA 540 (Fall, 2010) Estie Arkin Linear...

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Unformatted text preview: AMS 540 / MBA 540 (Fall, 2010) Estie Arkin Linear Programming Homework Set # 8 Due in class on Thursday, November 18, 2010. 1). Consider the following resource allocation problem and the accompanying optimal tableau ( x 5 , x 6 , x 7 are the respective slack variables): max z = 15 x 1 + 8 x 2 + 10 x 3 + 12 x 4 s . t . x 1 + 2 x 2 + x 4 20 x 1 + x 2 + x 3 + x 4 54 2 x 1 + x 3 + x 4 36 x 1 , x 2 , x 3 , x 4 z x 1 x 2 x 3 x 4 x 5 x 6 x 7 RHS z 1 9 2 4 10 440 x 2 1/2 1 1/2 1/2 10 x 6-3/2-1/2-1/2 1-1 8 x 3 2 1 1 1 36 (a). What are the shadow prices of the resources (constraints)? If you were to choose between increasing the amount of resource 1,2, or 3 by 1 unit, which would you choose to increase and why? (b). Suppose the coefficient of x 4 in the objective function changes from 12 to 16. Use sensitivity analysis to find the new optimal solution. (c). Suppose that the available amount of resource 1 changes from 20 to 40. Use sensitivity analysis to find the new optimal solution.to find the new optimal solution....
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hw8 - AMS 540 / MBA 540 (Fall, 2010) Estie Arkin Linear...

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