Three different products are made on three production lines each week. If a production line is...

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Three different products are made on three production lines each week. If a production line is used in a given week there is an associated setup cost. Each worker is designated to only one production line, and the pay and production of each worker depends on which line they are assigned to. In addition, each worker is assigned to one product on their assigned line. Relevant data are given below. Linel Line2 Line 3 |S2000 S1500 $2500 Setup Cost Product 1/worker 40 Product 2/worker 70 Product 3/worker 80 Cost/worker 90 110 120 125 130 $600 S900 S1400 100 Each week we need to make 500 of product 1, 700 of product 2, and 800 of product 3. If we can use at most 15 workers, formulate an integer program that minimizes the total cost of meeting our weekly demand. Three different products are made on three production lines each week. If a production line is used in a given week there is an associated setup cost. Each worker is designated to only one production line, and the pay and production of each worker depends on which line they are assigned to. In addition, each worker is assigned to one product on their assigned line. Relevant data are given below. Linel Line2 Line 3 |S2000 S1500 $2500 Setup Cost Product 1/worker 40 Product 2/worker 70 Product 3/worker 80 Cost/worker 90 110 120 125 130 $600 S900 S1400 100 Each week we need to make 500 of product 1, 700 of product 2, and 800 of product 3. If we can use at most 15 workers, formulate an integer program that minimizes the total cost of meeting our weekly demand.