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Question: Geraldine Shawhan is president of Shawhan File Works, a firm that manufactures two types of metal file cabinets. The demand for her two-drawer model is up to 600 cabinets per week; the demand for a three-drawer cabinet is limited to 400 per week. Shawhan File Works has a weekly operating capacity of 1,300 hours, with the two-drawer cabinet taking 1 hour to produce and the three-drawer cabinet requiring 2 hours. Each two-drawer model sold yields a $10 profit, and the profit for the large model is $15. Shawhan has listed the following goals:
(a) Attain a profit as close to $11,000 as possible each week.
(b) Avoid underutilization of the firm's production capacity.
(c) Sell as many two- and three-drawer cabinets as the demand indicates. Set this up as a goal programming problem and solve it using computer software. What is the solution?
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