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 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