Question: F.C needs 5000 liftmasters to be made next month. Manufacturing and purchasing costs per unit are shown:

Component Manufacturing Cost Purchase Cost

Frame $38.00 $51.00

Support $11.50 $15.00

Strap $6.50 $7.50

Component Cutting Milling Shaping

Frame 3.5 2.2 3.1

Support 1.3 1.7 2.6

Strap 0.8 --- 1.7

Capacity (hours) 350 420 680

a. Formulate and sole linear programming model. How many of each component should be manufactured and how many purchased?

b. What is the total cost of the manufacturing and purchasing plan?

c. How many hours of production time are used in each department?

d. How much should F.C. be willing to pay for an additional hour of time in the shaping department?