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