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Q5: (10 points) A company that operates 5 days a week manufactures three products A, B and C on three sequential processes. Process 1 operates
Q5: (10 points) A company that operates 5 days a week manufactures three products A, B and C on three sequential processes. Process 1 operates 6 hours a day; Process 2 operates 10 hours a day; and Process 3 operates 8 hours a day. The company uses two raw materials I and II in producing the products. Available quantities of materials I and II are 250 and 260 kilograms respectively. The company cannot sell more than 220 units per day of product A; the daily demand on product B lies between 150 and 250 units; and the demand on product C exceeds 100 units a day. The table summarizes the data of the problem. Seconds per unit Material (kg) I II Product A B Process 1 100 70 50 Process 2 160 110 80 Process 3 0 70 60 Unit Profit ($) 2 4 0.5 0.6 0.6 0.8 0.2 0 -2 Construct a linear program to help the company determine their optimal production schedule to maximize profits. List one feasible solution to the
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