Question: A clothier makes coats & slacks. The two resources required are wool cloth & labor. The clothier has 150 square yards of wool & 200 hours of labor available. Each coat requires 3 square yards of wool & 10 hours of labor, whereas each pair of slacks requires 5 square yards of wool & 4 hours of labor. The profit for a coat is $50, & the profit for slacks is $40. The clothier wants to determine the number of coats & 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.