A linear programming computer pockage is needed. Frandec Comasny mamufactures, assembles, and rebullds material-hondiling equipment used in warehouses and eistribution eenters. Che product, caled a uftuaster, is assembied from four componerts: a frame, a motec, two supports, and a metal strap. Frendec's production sehedula calls for 5,500 Liftmanters to be made next month, Frandec purchsses the motors from an outslde suppliet, but the frames, supports, and straps may be either manufactured by the company of purchased from an eveside supplee, Marufacturing and purchase cocts per unlt are shown. Three departments are involved in the preduction of these components. The time tin minuees per unit) newired for procs bock bomponent in cach deportment and the available capsity (in hears) for tha three departments are as fellows. (a) Formulate and solve a linear programming mode for thls makeior-buy applicatiog. \{lee FM =number of frames manufoctured, FP in number of framant purehased, 5M - number of Min culting constrairt Milling constraint Snaping constraint Frame constratint Support constract Strap constraint A1,P1,SM1SP,TM1TP0 (PN,R,SM,SP,TM,TM]= (B) What in the total cont (in 1) ef the manufacturing ard pureasing eran? 5 Cutting Miling shaoing (9) Haw mueh (in \$) shoult frandec be willing so per for an asditonal nour ef time in the shaping depacinenc? 4 Eree decimal piaces 3 The reduces cost of indicates that me sciution be theroved