Maximizing Profit A large TV manufacturer has warehouse facilities for storing its

Chapter 5, Problem 45

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Maximizing Profit A large TV manufacturer has warehouse facilities for storing its 52-inch color TVs in Chicago, New York, and Denver. Each month the city of Atlanta is shipped at most four hundred 52-inch TVs. The cost of transporting each TV to Atlanta from Chicago, New York, and Denver averages $50, $40, and $80, respectively, while the cost of labor required for packing averages $6, $8, and $4, respectively. Suppose $20,000 is allocated each month for transportation costs and $3000 is allocated for labor costs. If the profit on each TV stored in Chicago is $70, in New York is $80, and in Denver is $40, how should monthly shipping arrangements be scheduled to maximize profit? (a) Formulate a linear programming problem that models the problem given above. Be sure to identify all variables used. (b) Solve the linear programming problem. (c) Analyze the solution.

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