A linear programming computer package is needed.

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 a metal strap. Frandec's production schedule calls for 4.500 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

(a) Formulate and solve a linear programming model for this make-or-buy application. (Let FM - number of frames manufactured, FP = number of frames purchased, SM - number of supports manufactured,

SP = number of supports purchased, TM - number of straps manufactured, and TP - number of straps purchased. Express time in minutes per unit.)

\begin{tabular}{|l|c|c|} \hline Component & Manufacturing Cost & Purchase Cost \\ \hline Frame & $37.00 & $50.00 \\ \hline Support & $10.50 & $14.00 \\ \hline Strap & $5.50 & $6.50 \\ \hline \end{tabular} \begin{tabular}{|l|c|c|c|} \hline \multirow{2}{*}{ Component } & \multicolumn{3}{|c|}{ Department } \\ \cline { 2 - 4 } & Cutting & Milling & Shaping \\ \hline Frame & 3.5 & 2.2 & 3.1 \\ \hline Support & 1.3 & 1.7 & 2.6 \\ \hline Strap & 0.8 & & 1.7 \\ \hline Capacity (hours) & 350 & 420 & 680 \\ \hline \end{tabular} Min Cutting constraint Milling constraint Shaping constraint Frame constraint Support constraint Strap constraint 4 the ifetintat cost of incitates that time tolution