Problem 9-17 Frandec Company manufactures, assembles, and rebuilds material handling equipment used in warehouses and distribution centers. One product, called a Liftmaster, is assembled from four com
Problem 9-17 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 5000 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 and solve a linear programming model for this make-or-buy application. How many of each component should be manufactured and how many should be purchased? If required, round your answers to one decimal place. 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 TP = number of straps purchased Min fill in the blank 1FM fill in the blank 2FP fill in the blank 3SM fill in the blank 4SP fill in the blank 5TM fill in the blank 6TP s.t. 3.5FM fill in the blank 7SM fill in the blank 8TM ≤ fill in the blank 9 fill in the blank 10FM 1.7SM ≤ fill in the blank 11 fill in the blank 12FM fill in the blank 13SM 1.7TM ≤ fill in the blank 14 FM fill in the blank 15FP ≥ fill in the blank 16 SM fill in the blank 17SP ≥ fill in the blank 18 TM fill in the blank 19TP ≥ fill in the blank 20 FM, FP, SM, SP, TM, TP ≥ 0. Manufacture Purchase Frames fill in the blank 21 fill in the blank 22 Supports fill in the blank 23 fill in the blank 24 Straps fill in the blank 25 fill in the blank 26 What is the total cost of the manufacturing and purchasing plan? When required, round your answer to the nearest dollar.$  fill in the blank 27 How many hours of production time are used in each department? Department Hours of productiontime used Cutting fill in the blank 28 hours Milling fill in the blank 29 hours Shaping fill in the blank 30 hours How much should Frandec be willing to pay for an additional hour of time in the shaping department?$  fill in the blank 31 Another manufacturer has offered to sell frames to Frandec for $45 each. Could Frandec improve its position by pursuing this opportunity? Why or why not?The input in the box below will not be graded, but may be reviewed and considered by your instructor.