Apply Linear Programming to This Problem

Multiple Choice

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