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.

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:

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.