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 5,500 uftmasters to be made next month. Frander purchases the mators from an outside supplier, but the frames, supports, and straps may be either manufactured by the company or purchased from an outs de supplier. Manutacturing and purchase costs per unit are shown Component Manufacturing Cost Purchase Cost Frame $39.00 $52.00 Support $12.50 $15,00 Strap 57.50 $8.50 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. LE Department Component Cutting Milling Milling Shaping Frame 3.1 Support 13 27 2.6 Strap 0.8 1.7 Capacity (hours) 350 420 680 {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 manufacturer, SP - number of supports purchased. TM-number at straps manufactured, and TP-number of straps purchased. Express time in minutes per unit) Min Cutting constraint Miting constraint Shaping constraint Frame constraint Support constraint Strap constraint FM, FP, SM, SP, TH, THO How many of each component should be manufactured and how many should be purchased? {Round your answers to the nearest whole number) M. F SM, SP, TM, P) - ) (b) What is the total cost in sy of the manufacturing and purchasing plan? $ (c) How many hours of production time are used in each department (Round your answers to two decimal places) Cutting Jhrs Milling hrs Shaping his (0) How much (in $) shoulc Prander be willing to pay for an additional hour of time in the shaping department? $ (e) Another manutacturer les offered to sell frames to France for $45 each. Could Frande improve its position by pursuing this opportunity? Why or why not? (Round your answer to three decimal places.) Select the redund cost of Indicates that the solution Select Y be improved