Question: Problem 4-17 (Algorithmic) Frandec Company manufactures, assembles, and rebuilds material handling equipment used in warehouses and distribution centers. One product, called a Liftmaster, is assembled
Problem 4-17 (Algorithmic)
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. Frandecs 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.
| Component | Manufacturing Cost | Purchase Cost |
| Frame | $33.00 | $47.00 |
| Support | $10.50 | $14.00 |
| Strap | $7.50 | $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:
| Department | |||
| Component | Cutting | Milling | Shaping |
| Frame | 3 | 2 | 2.6 |
| Support | 1.3 | 1.6 | 2.1 |
| Strap | 0.9 | 1.6 | |
| Capacity (hours) | 340 | 400 | 650 |
- 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?
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 ____FM + ____FP + ____SM + ____SP + ____TM + ____TP s.t. ____FM + ____SM + ____TM ____ ____FM + ____SM ____ ____FM + ____SM + ____TM ____ ____FM + ____FP ____ ____SM + ____SP ____ ____TM + ____TP ____ FM, FP, SM, SP, TM, TP 0 If required, round your answers to the nearest whole number. If an amount is zero, enter "0"
Manufacture Purchase Frames Supports Straps - What is the total cost of the manufacturing and purchasing plan? When required, round your answer to the nearest dollar. $ ____
- How many hours of production time are used in each department? If required, round your answer to two decimal places.
Department Hours of production time used Cutting ____hours Milling ____ hours Shaping ____ hours - How much should Frandec be willing to pay for an additional hour of time in the shaping department? If required, round your answers to the nearest whole number. If an amount is zero, enter "0". $ ____
- Another manufacturer has offered to sell frames to Frandec for $41 each. Could Frandec improve its position by pursuing this opportunity? Yes or No Why or why not? If required, round your answers to the nearest cent. Because the current purchase price is $____ . The reduced cost is $____ which means that the solution may be improved if the cost is $____ or below.
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