Week 6 page 1 of 2 a company produces two products that are

MAT540 Homework Week 6 Page 2 of 2

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.

1. Formulate a linear programming model for this problem.

2. Solve the model by using graphical analysis.

6. Solve the following linear programming model graphically: Maximize Z = 5x1 + 8x2

Subject to 4x1 +5x2 ≤50 2x1 +4x2 ≤40 x1 ≤ 8
x2 ≤ 8
x1, x2 ≥ 0