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sensAsgn.pdf - 21-257 Models and Methods for Optimization...

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21-257 Models and Methods for Optimization Assignment 5: Due Wednesday, October 21 The following linear program represents a profit maximization for a production run of four product lines. The constraints are identified. Maximize : 100 x 1 + 200 x 2 + 180 x 3 + 170 x 4 Subject to : x 1 + x 2 + x 3 + 2 x 4 4 , 300 Raw material availability x 1 - x 2 + 2 x 4 1 , 000 Strange requirement 2 x 1 + x 2 + x 3 = 2 , 000 Distribution requirement x 1 + 2 x 2 + x 4 2 , 500 Finishing shop hours x 3 + x 4 500 Minimum demand x 1 0 , x 2 0 , x 3 0 , x 4 0 Solve the linear program using Solver and answer the following questions. Print and turn in your spreadsheet and sensitivity report with your answers. 1. If any product line is not produced, decide what profit would make the product line profitable. 2. What is the maximum price that the company should pay for an additional finishing
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