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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 X and Y) they should produce in order to make the most money. The profit from making a unit of product X is $190 and the profit from making a unit of product Y is $112. The firm has a limited number of labor hours and machine hours to apply to these products. The total labor hours per week are 3,000. Product X takes 2 hours of labor per unit and Product Y takes 6 hours of labor per unit. The total machine hours available are 750 per week. Product X takes 1 machine hour per unit and Product Y takes 5 machine hours per unit. Which of the following is one of the constraints for this linear program?
A. 1 X + 5 Y =< 750
B. 2 X + 6 Y => 750
C. 2 X + 5 Y = 3,000
D. 1 X + 3 Y =< 3,000
E. 2 X + 6 Y =>3,000
Answer
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