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A manufacturing firm has discontinued production of a certain unprofitable product line. Considerable excess production capacity was created as a result. Management is considering devoting this excess capacity to one or more of three products: X1,X2, and X3. Machine hours required per unit are The available time in machine hours per week is The saiespeople estimate they can sell all the units of X1 and X2 that can be made. But the sales potential of X3 is 80 units per week maximum. Unit profits for the three products are Unit profits for the three products are a. Set up the equations that can be solved to maximize the profit per week. (Leave no cells blank - be certain to enter " 0 " wherever required.) b. Solve these equations using the Excel Solver. (Leave no cells blank - be certain to enter " 0 " wherever required. Round your answers to the nearest whole number.) c. How much of each constraint or resource is unused? (Leave no cells blank - be certain to enter " 0 " wherever required. Round your answers to the nearest whole number.) d.1. Would the machines work at copacity? A manufacturing firm has discontinued production of a certain unprofitable product line. Considerable excess production capacity was created as a result. Management is considering devoting this excess capacity to one or more of three products: X1,X2, and X3. Machine hours required per unit are The available time in machine hours per week is The saiespeople estimate they can sell all the units of X1 and X2 that can be made. But the sales potential of X3 is 80 units per week maximum. Unit profits for the three products are Unit profits for the three products are a. Set up the equations that can be solved to maximize the profit per week. (Leave no cells blank - be certain to enter " 0 " wherever required.) b. Solve these equations using the Excel Solver. (Leave no cells blank - be certain to enter " 0 " wherever required. Round your answers to the nearest whole number.) c. How much of each constraint or resource is unused? (Leave no cells blank - be certain to enter " 0 " wherever required. Round your answers to the nearest whole number.) d.1. Would the machines work at copacity