# Question: A clothier makes coats and slacks The two resources required

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.

a. Formulate a linear programming model for this problem.

b. Solve this model by using graphical analysis.

**View Solution:**## Answer to relevant Questions

In Problem 16, what would be the effect on the optimal solution if the available labor were increased from 200 to 240 hours?Solve the following linear programming model graphically:maximize Z = 5x1 + 8x2subject to3x1 + 5x2 ≤ 502x1 + 4x2 ≤ 40x1 ≤ 8x2 ≤ 10x1, x2 ≥ 0Solve the following linear programming model graphically:minimize Z = 5x1 + x2subject to3x1 + 4x2 = 24x1 ≤ 6x1 + 3x2 ≤ 12x1, x2 ≥ 0The Valley Wine Company produces two kinds of wine—Valley Nectar and Valley Red. The wines are produced from 64 tons of grapes the company has acquired this season. A 1,000-gallon batch of Nectar requires 4 tons of grapes, ...In Problem 50, if the amount of fertilizer required for each acre of strawberries were determined to be 20 tons instead of 8 tons, what would be the effect on the optimal solution?Post your question