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1 Production on two machines data 3 Unit costs Machine requirements Machine 1 Machine 2 0.80 0.90 Labor requirements 5 Product 1 6 Product 2
1 Production on two machines data 3 Unit costs Machine requirements Machine 1 Machine 2 0.80 0.90 Labor requirements 5 Product 1 6 Product 2 Machine 1 Machine 2 $16.50 $18.00 $13.50 $14.50 Machine 1 Machine 2 1.20 1.00 0.70 0.75 0.75 0.75 A company manufactures two products on two machines. The number of hours of machine time and labor depends on the machine and product as shown in the file P03_38.xlsx. The cost of producing a unit of each product depends on which machine produces it. These unit costs also appear in the same file. Each month, there are 200 hours available on each of the two machines, and there are 400 labor hours available total. This month at least 250 units of product 1 and at least 170 units of product 2 must be produced. Also, at least haf of the product 1 requirement must be produced on machine 2, and at least half of the product 2 requirement must be produced on machine 1. a. Determine how the company can minimize the cost of meeting this month's requirements. Total Cost: Production Product1 Machine 1 Machine 2 Product 2 b. Use a two-way SolverTable to see how much the "at least half" requirements are costing the company. Do this by changing both of these requirements from "at least half to "at least x percent where x can be any multiple of 5% from 0% to 50%. which of the two constraints is more stringent on affecting the total cost
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