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Using the following data, I need help developing a linear model: The company's long-range planning committee has recently completed an extensive

Using the following data, I need help developing a linear model:

The company's long-range planning committee has recently completed an extensive analysis of future demand for our beer across the country. The committee's statisticians have projected that over the next 5 years, monthly demand at each of the distribution centers will increase by 50% over the current monthly demand. It also projects a $1 increase in shipping costs from the two existing plants to the four distribution centers. To meet future demand projections, the company plans to build a new brewery. The monthly capacity of the new facility should be sufficient to allow Straight Arrow to cover anticipated demand five years from now, with their three facilities. Two sites for the new plant are under consideration. These will be labeled plant C and plant D. Table C lists the expected transportation costs, per barrel, from each proposed site to the 4 distribution centers. The company projects that production costs will be $0.75/barrel higher at plant C than they would be at plant D.

Table C                                                         Transportation Cost, $/barrel

                                                           From Plant C             From Plant D

                       To Warehouse W                   8                                 9

                       To Warehouse X                    3                                 7

                       To Warehouse Y                    5                                 4

                       To Warehouse Z                     6                                 3

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