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You are the recently hired Chief Operations Officer at ABC Inc, a regional firm which produces specialized

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Question;You are the recently hired Chief Operations Officer at ABC Inc, a regional firm which produces specialized circuit boards used in the production of various makes and models of automobiles. The company currently owns three production plants, one much newer than the other two. Once the circuit boards are produced, the firm ships them to one of four warehouses throughout the state where they are placed in inventory until ordered by the end-user. Each circuit board sells for $150.Being the good COO that you are, you are always looking for ways to minimize costs and increase profitability. You suspect that there is much room for improvement in this regard. Specifically, you have reason to believe that production and stocking levels of each plant and warehouse could be modified to yield the desired results.The details of this managerial challenge are as follows:Production Costs - Plant A -- $100 per circuit boardPlant B -- $120 per circuit boardPlant C -- $90 per circuit boardPlant Capacity - Plant A ? 1,200 circuit boardsPlant B ? 1,200 circuit boardsPlant C ? 500 circuit boardsDemand Forecast - Warehouse #1 ? 700 circuit boardsWarehouse #2 ? 400 circuit boardsWarehouse #3 ? 600 circuit boardsWarehouse #4 ? 500 circuit boardsShipping CostsWarehouse #1 Warehouse #2 Warehouse #3 Warehouse #4Plant A $10 $15 $40 $30Plant B $50 $20 $25 $20Plant C $25 $45 $30 $22Create a linear program that shows exactly how many circuit boards should be produced at each plant and then shipped to each warehouse in order to maximize resulting profits. Your completed model should show the optimal values of all 12 decision variables AS WELL AS the optimal value of the objective function.

 

Paper#60379 | Written in 18-Jul-2015

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