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1) XYZ Manufacturing must produce 1650 units for an important customer. If machine 1 is used its production will be between 300 and 1500 units. Machine 2 and/or machine 3 can be used only if machine 1's production is at least 1000 units. Machine 4 can be used with no restrictions. The following table provides the fixed and variable (per unit production) cost of production at each machine category as well as the minimum and maximum allowed production limits of each machine. If a machine is used, its fixed cost is incurred.
Fixed Variable Minimum Maximum Machine Cost($) Cost($) Production Production1 500 2.00 300 15002 800 0.50 500 12003 200 3.00 100 8004 50 5.00 no limit no limit
Formulate a mixed-binary linear programming model to help XYZ managers to determine production quantities on the machines to minimize costs. No need to solve.
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