A linear programming computer package is needed. Frandec Company manufactures, assembles, and rebullds material-handiling equipment used in warehouses and distribution centers. One product, called a motor, two supports, and a metal strap. Frandec's production schedule calls for 5,500 Liftmasters to be made next month. Frandec purchases the moti 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 dep 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 fr SP= number of supports purchased, TM= number of straps manufactured, and TP= number of straps purchased. Express time in minutes per u Min Cutting constraint haterial-handling equipment used in warehouses and distribution centers. One product, called a Luftmaster, is assembled from four components: a frame, Ion schedule calls for 5,500 Liftmasters to be made next month. Frandec purchases the motors from an outside supplier, but the frames, supports, and hased from an outside supplier, Manufacturing and purchase costs per unit are shown. omponents: The time (in minutes per unit) required to process each component in each department and the available capacity (in hours) for the three Is make-or-buy application. (Let FM= number of frames manufactured, FP = number of frames purchased, SM = number of supports manufactured. traps manufactured, and IP. number of straps purchased. Express time in minutes per unit.) Ma Cutting constraint Miling constraint Shaping constraint Frame constraint Support constraint Strap constraint FM,fP,SM,Gp,rM,rP0 (FN1F,SM,SP,TN,TP)=( (b) What is the total cost (in 5 ) of the manufacturing and purchasing plon? How many of cach component should be manufactured and how many should be purchosed? (Round your answers to the nearest whole number.) (FM,FP,SM,SP,TM,TP)=( (b) What is the total cost (in s) of the manufacturing and purchasing plan? (c) How many hours of production time are used in each departinent? (Round your answers to two decimal places.) Cutting Miling hes Staping hrs his (d) How much (in s) should Frandec be walling to pay for an additional hour of time in the shaping department? (e) Another manufacturer has offered to sell frames to frandec for $45 each. Could frandec improve is position by pursuing this opportunity? Why or why The rediaced cost of indicates that the solution be improved. ing plan? ent? (Round your answers to two decimal places.) paal hour of time in the shaping department? $45 each. Could Frandec improve its position by pursuing this opportunity? Why or why not? (Round your answer to three decimal places.) at the solution be improved