A clothier makes coats and slacks. The two resources required are wool cloth and labor. The clothier has 150 square yards of wool and 200 hours of labor available. Each coat requires 3 square yards of wool and 10 hours of labor, whereas each pair of slacks requires 5 square yards of wool and 4 hours of labor. The profit for a coat is $50, and the profit for slacks is $40. The clothier wants to determine the number of coats and pairs of slacks to make so that profit will be maximized. a. Formulate a linear programming model for this problem. b. Solve this model by using graphical analysis.

Managerial Economics: A Problem Solving Approach
5th Edition
ISBN:9781337106665
Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Chapter21: Getting Employees To Work In The Firm’s Best Interests
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A clothier makes coats and slacks. The two resources required are wool cloth and labor.
The clothier has 150 square yards of wool and 200 hours of labor available. Each coat
requires 3 square yards of wool and 10 hours of labor, whereas each pair of slacks
requires 5 square yards of wool and 4 hours of labor. The profit for a coat is $50, and the
profit for slacks is $40. The clothier wants to determine the number of coats and pairs of
slacks to make so that profit will be maximized.
a. Formulate a linear programming model for this problem.
b. Solve this model by using graphical analysis.
Transcribed Image Text:A clothier makes coats and slacks. The two resources required are wool cloth and labor. The clothier has 150 square yards of wool and 200 hours of labor available. Each coat requires 3 square yards of wool and 10 hours of labor, whereas each pair of slacks requires 5 square yards of wool and 4 hours of labor. The profit for a coat is $50, and the profit for slacks is $40. The clothier wants to determine the number of coats and pairs of slacks to make so that profit will be maximized. a. Formulate a linear programming model for this problem. b. Solve this model by using graphical analysis.
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