[SOLVED] Frandec Company manufactures, assembles, and rebuilds material handling equipment used in warehouses and distribution centers

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 1
FM + fill in the blank 2
FP + fill in the blank 3
SM + fill in the blank 4
SP + fill in the blank 5
TM + fill in the blank 6
TP
s.t.
3.5FM + fill in the blank 7
SM + fill in the blank 8
TM ≤ fill in the blank 9
fill in the blank 10
FM + 1.7SM ≤ fill in the blank 11
fill in the blank 12
FM + fill in the blank 13
SM + 1.7TM ≤ fill in the blank 14
FM + fill in the blank 15
FP ≥ fill in the blank 16
SM + fill in the blank 17
SP ≥ fill in the blank 18
TM + fill in the blank 19
TP ≥ 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 production
time 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?
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