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a. 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 P Min s.t. 3.5FM FM FM+ FM FM + FP +1.75M + SM SM+ SM SM + SP+ SP + +1.7TM TM TM+ TM TP S TP 2 cleancantcha.lm.c.appspot.com

a. 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 P Min s.t. 3.5FM FM FM+ FM FM + FP +1.75M + SM SM+ SM SM + SP+ SP + +1.7TM TM TM+ TM TP S TP 2 cleancantcha.lm.c.appspot.com

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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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. Component. Frame Support Strap Component Frame Support Strap Capacity (hours) 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 Milling 2.2 1.7 SP number of supports purchased Min s.t. TM number of straps manufactured TP number of straps purchased 3.5FM Manufacturing Cost $38.00 $11.50 $ 6.50 a. 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 FM FM+ FM FM Cutting 3.5 1.3 0.8 350 + FM, FP, SM, SP, TM, TP 2 0. FP+ FP + +1.7SM + SM 420 SM+ SM SM Purchase Cost $51.00 $15.00 $ 7.50 + SP+ SP Shaping 3.1 2.6 1.7 680 + +1.7TM TM TM+ TM TP s S 2 2 TP 2 cleancaptcha.lm.r.appspot.com
Transcribed Image Text: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. Component. Frame Support Strap Component Frame Support Strap Capacity (hours) 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 Milling 2.2 1.7 SP number of supports purchased Min s.t. TM number of straps manufactured TP number of straps purchased 3.5FM Manufacturing Cost $38.00 $11.50 $ 6.50 a. 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 FM FM+ FM FM Cutting 3.5 1.3 0.8 350 + FM, FP, SM, SP, TM, TP 2 0. FP+ FP + +1.7SM + SM 420 SM+ SM SM Purchase Cost $51.00 $15.00 $ 7.50 + SP+ SP Shaping 3.1 2.6 1.7 680 + +1.7TM TM TM+ TM TP s S 2 2 TP 2 cleancaptcha.lm.r.appspot.com
Frames Supports Straps Manufacture Purchase b. What is the total cost of the manufacturing and purchasing plan? When required, round your answer to the nearest dollar. c. How many hours of production time are used in each department? Department $ Cutting Milling Shaping Hours of production time used hours hours d. How much should Frandec be willing to pay for an additional hour of time in the shaping department? Why or why not? hours e. Another manufacturer has offered to sell frames to Frandec for $45 each. Could Frandec improve its position by pursuing this opportunity?
Transcribed Image Text:Frames Supports Straps Manufacture Purchase b. What is the total cost of the manufacturing and purchasing plan? When required, round your answer to the nearest dollar. c. How many hours of production time are used in each department? Department $ Cutting Milling Shaping Hours of production time used hours hours d. How much should Frandec be willing to pay for an additional hour of time in the shaping department? Why or why not? hours e. Another manufacturer has offered to sell frames to Frandec for $45 each. Could Frandec improve its position by pursuing this opportunity?
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