A small motor manufacture makes two types of motors: Standard (S) and Economy(E)

Question

A small motor manufacture makes two types of motors: Standard (S) and Economy(E) models. The manufacturing process include wiring (W), drilling (D), and assembly (A). Each Standard model takes 3 hours of wiring, 2 hours of drilling, and 1.5 hours of assembly. Each Economy model takes 2 hours of wiring, 1 hour of drilling and 0.5 hours of assembly. During the next production period the following resources are available: 240 hours of wiring time 210 hours of drilling time 120 hours of assembly time The profit for the Standard model is $22 per unit and the profit for the Economy model is $15 per unit. And there is a contract to deliver at least 30 Standard motors to a customer each production period. Develop the LP formulation - the formulas and then prepare the graphical solution in the grid to the right. Part III - Three Points. For the LP formulation in Part II, what is the: Binding Constraint(s) What happens if the profit for the Standard model is increased to $35 per unit?. Show-this on the graph as that it how you get your answer

Explanation / Answer

Let model A produced = X units

B model produced = Y units

Maximize profit

22x + 15 y

Subject to constraints

3x + 2y 240

2x + y 210

1.5x + 0.5y 120

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