Formulate a linear programming model for this make-or-buy application (100 points). Use Excel Solver to solve the model (10 bonus points), which is optional.

Frandec Company manufactures, assembles, and rebuilds material handling equipment used in warehouses and distribution centers. One product, called a Liftmaster, is assembled from four components: a frame, a motor, two supports, and three metal straps. Frandec's production schedule calls for 2,000 Liftmasters to be made next month. Frandec purchases the motors from an outside supplier, but the frames, supports, and straps may be either manufactured by the company or purchased from an outside supplier. Manufacturing and purchase costs per unit are shown.

Component	Manufact. Cost	Purchase Cost
Frame	$38.00	$51.00
Support	$11.50	$15.00
Strap	$6.50	$7.50

Three departments are involved in the production of these components. The time (in minutes per unit) required to process each component in each department and the available capacity (in hours) for the three departments are as follows:

Department

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

Formulate a linear programming model for this make-or-buy application. Formulate the problem, no need to solve.

Hint: You need to decide: how many of each component should be manufactured and how many should be purchased. Define them as decision variables.