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Swenson baseball equipment produces two types of high quality (read expensive) baseball gloves: a consumer model and a pro model. Pro models use two types of leather, more expensive fasteners, and also require more crafting time. Consumer models require 80 square inches of standard leather and 10 hours of crafting labor. Pro models require 60 square inches of standard leather, 18 square inches of premium leather, and 16 hours of crafting time. For the next week, Swenson’s has 5000 square inches of standard leather, 750 square inches of premium leather, and 400 hours of labor available. Consumer model gloves net a profit of $150, while pro model gloves net a profit of $320. These gloves are carried in national sporting goods stores like Dick’s and Academy. Develop an optimization model and use
(a) Graphical method to determine how many of each type of glove Swenson’s should produce this week in order to maximize profit
(b) Solver to determine how many of each type of glove Swenson’s should produce this week in order to maximize profit. Look at the reduced cost for consumer model gloves. What does it mean? A supervisor on the shop floor asks for 50 additional labor hours but this would be overtime at $12 an hour. Is this a good idea?
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