A linear programming computer package is needed. 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 4,500 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. ComponentManufacturing Cost Purchase Cost Frame Support Strap 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 Milling constraint Shaping constraint Frame constraint $37.00 Support constraint $10.50 $5.50 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.) Min Strap constraint 1.3 Department Cutting Milling Shaping 3.5 3.1 0.8 2.2 350 $50.00 $14.00 1.7 $6.50 420 2.6 1.7 680
A linear programming computer package is needed. 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 4,500 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. ComponentManufacturing Cost Purchase Cost Frame Support Strap 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 Milling constraint Shaping constraint Frame constraint $37.00 Support constraint $10.50 $5.50 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.) Min Strap constraint 1.3 Department Cutting Milling Shaping 3.5 3.1 0.8 2.2 350 $50.00 $14.00 1.7 $6.50 420 2.6 1.7 680
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section: Chapter Questions
Problem 59P
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