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 0.75 square yard of leather,2 hours of labor,and 0.5 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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