A how much does each factory contribute to the

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the following questions using information obtained from the optimal solutions. (a) How much does each factory contribute to the overall profit of the company? (b) In the optimal solution for factory A, specify the unused resources (if there are any). (c) Likewise, specify any unused resources for factory B. Now let’s consider a model in which the allocation of raw material between the two factories is deter- mined by the optimal values of the decision variables. That is, we will let the model decide how to most efficiently allocate all resources within and between factories. The multiplant model is maximize 10 x 1 + 15 x 2 + 10 x 3 + 15 x 4 subject to 4 x 1 + 4 x 2 + 4 x 3 + 4 x 4 120 4 x 1 + 2 x 2 80 2 x 1 + 5 x 2 60 5 x 3 + 3 x 4 60 5 x 3 + 6 x 4 75 x 1 ,x 2 ,x 3 ,x 4 0 Create an AMPL model and data set for the multiplant optimization problem ( multiplant.mod and multiplant.dat ). Answer the following questions from information you obtain about the optimal solution. To answer questions 4i and 4j you will need to extract sensitivity information from AMPL. The class AMPL handout contains an example of how to do this. (d) What is the overall company profit? Can the company realize more profit by using the multiplant model instead of using the independent models? (e) How much does each factory contribute to profit? (f) How much raw material is allocated to each factory? (g) Specify the unused resources (if any) at each factory?
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