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Question
Apply linear programming to this problem. A firm wants to determine how many units of each of two products (products D and E) they should produce to make the most money. The profit in the manufacture of a unit of product D is $100 and the profit in the manufacture of a unit of product E is $87. The firm is limited by its total available labor hours and total available machine hours. The total labor hours per week are 4,000. Product D takes 5 hours per unit of labor and product E takes 7 hours per unit. The total machine hours are 5,000 per week. Product D takes 9 hours per unit of machine time and product E takes 3 hours per unit. Which of the following is one of the constraints for this linear program?
A. 5 D + 7 E =< 5,000
B. 9 D + 3 E => 4,000
C. 5 D + 7 E = 4,000
D. 5 D + 9 E =< 5,000
E. 9 D + 3 E =< 5,000
Answer
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