Question: A clothier makes coats and slacks. The two resources required are wool cloth and labor. The clothier has 150 squares 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 slack 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 slackto make so that profit will be maximized.

a. Formulate a linear programming model for this problem.