The Kartick Company is trying to determine how much of each of two products to...
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Accounting
The Kartick Company is trying to determine how much of each of two products to produce over the coming planning period. There are three departments, A, B, and C, with limited labor hours available in each department. Each product must be processed by each department and the per unit requirements for each product, labor hours available, and per-unit profit are as shown below. Labor required in each department Department Product (hours/unit) Labor Hours Available Product 1 Product 2 A 1.00 0.30 100 B 0.30 0.12 36 C 0.15 0.56 50 Profit Contribution $33.00 $24.00 A linear program for this situation is as follows. Let x1 = the amount of product 1 to produce. Let x2 = the amount of product 2 to produce. Maximize 33 x1 + 24 x2 s.t.
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