A manufacturer of leather goods produces two models of briefcases

Question

A manufacturer of leather goods produces two models of briefcases - the Executive (E) and the Student (S). Each unit of the E requires 1 square yard of leather, 2.5 hours of labor, and 1 hour of machine time. The S requires .75 square yard of leather, 2 hours of labor, and .5 hours of machine time. Each unit of E contributes $8 of profit while S contributes $5. The manufacturer has 500 square yards of leather available per week, 400 labor hours, and 180 machine hours. Formulate as a linear programming problem. The basic objective is to maximize profit.

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The Answer of A manufacturer of leather goods produces two models of briefcases - the Executive (E) and the Student (S). Each unit of the E requires 1 square yard of leather, 2.5 hours of labor, and 1 hour of machine time. The S requires .75 square yard of leather, 2 hours of labor, and .5 hours of machine time. Each unit of E contributes $8 of profit while S contributes $5. The manufacturer has 500 square yards of leather available per week, 400 labor hours, and 180 machine hours. Formulate as a linear programming problem. The basic objective is to maximize profit.