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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 5,500 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 Frame Support Strap Min Manufacturing Cost Purchase Cost Component Frame 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. Cutting constraint 21000 Support Strap Capacity (hours) 350 Milling constraint 25200 $37.00 Shaping constraint 40800 $10.50 $5.50 Frame constraint 5500 Support constraint 11000 Strap constraint 5500 1.3 Department Cutting Milling Shaping 3.5 0.8 X X X (a) Formulate and solve a linear programming model for this make-or-buy application. (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, and TP number of straps purchased. Express time in minutes per unit.) x X 2.2 X $50.00 1.7 $14.00 420 $6.50 3.1 2.6 1.7 680 FM, FP, SM, SP, TM, TP 20 How many of each component should be manufactured and how many should be purchased? (Round your answers to the nearest whole number.) (FM, FP, SM, SP, TM, TP)-(0 x)

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 5,500 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 Frame Support Strap Min Manufacturing Cost Purchase Cost Component Frame 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. Cutting constraint 21000 Support Strap Capacity (hours) 350 Milling constraint 25200 $37.00 Shaping constraint 40800 $10.50 $5.50 Frame constraint 5500 Support constraint 11000 Strap constraint 5500 1.3 Department Cutting Milling Shaping 3.5 0.8 X X X (a) Formulate and solve a linear programming model for this make-or-buy application. (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, and TP number of straps purchased. Express time in minutes per unit.) x X 2.2 X $50.00 1.7 $14.00 420 $6.50 3.1 2.6 1.7 680 FM, FP, SM, SP, TM, TP 20 How many of each component should be manufactured and how many should be purchased? (Round your answers to the nearest whole number.) (FM, FP, SM, SP, TM, TP)-(0 x)

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter3: Introduction To Optimization Modeling
Section3.8: A Multiperiod Production Model
Problem 20P: The Pigskin Company produces footballs. Pigskin must decide how many footballs to produce each...
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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 5,500 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 Frame Support Min Strap Component Manufacturing Cost Frame Cutting constraint 21000 Milling constraint 25200 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. Shaping constraint 40800 Frame constraint 5500 Support constraint 11000 $37.00 Strap constraint 5500 $10.50 $5.50 (FM, FP, SM, SP, TM, TP) = Cutting 3.5 Support Strap Capacity (hours) (a) Formulate and solve a linear programming model for this make-or-buy application. (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, and TP = number of straps purchased. Express time in minutes per unit.) 1.3 0.8 350 -(0 X Department Milling X X X X X 2.2 Purchase Cost 1.7 420 $50.00 $14.00 $6.50 X Shaping 3.1 2.6 FM, FP, SM, SP, TM, TP ≥ 0 How many of each component should be manufactured and how many should be purchased? (Round your answers to the nearest whole number.) 1.7 680
Transcribed Image Text: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 5,500 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 Frame Support Min Strap Component Manufacturing Cost Frame Cutting constraint 21000 Milling constraint 25200 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. Shaping constraint 40800 Frame constraint 5500 Support constraint 11000 $37.00 Strap constraint 5500 $10.50 $5.50 (FM, FP, SM, SP, TM, TP) = Cutting 3.5 Support Strap Capacity (hours) (a) Formulate and solve a linear programming model for this make-or-buy application. (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, and TP = number of straps purchased. Express time in minutes per unit.) 1.3 0.8 350 -(0 X Department Milling X X X X X 2.2 Purchase Cost 1.7 420 $50.00 $14.00 $6.50 X Shaping 3.1 2.6 FM, FP, SM, SP, TM, TP ≥ 0 How many of each component should be manufactured and how many should be purchased? (Round your answers to the nearest whole number.) 1.7 680
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