Set up the objective function and enumerate all the constraints, Define the decision variables of the IP Programming problem

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter7: Nonlinear Optimization Models
Section7.3: Pricing Models
Problem 14P: PRICING SUITS AT SULLIVANS Sullivans is a retailer of upscale mens clothing. Suits cost Sullivans...
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Set up the objective function and enumerate all the constraints, Define the decision variables of the IP Programming problem
5. A semiconductor corporation produces a particular solid-state module that it supplies to four
different television manufacturers. The module can be produced at each of the corporation's three
plants, although the costs vary because pf differing production efficiencies at the plants.
Specifically, it costs 110 pesos to produce a module at Plant A, 95 pesos to produce a module at
Plant B, and 103 pesos to produce a module at Plant C. Monthly production capacities of the plants
are 7500, 10000 and 8100 modules, respectively. Sales forecasts project monthly demand at 4200,
8300, 6300 and 2700 for television manufacturers I, II, III and IV, respectively. If the cost (in
pesos) for shipping a module from a plant to a manufacturer is as shown in the table below,
determine the production level in each plant that will meet all needs at minimum total cost.
Manufacturer I
Manufacturer II
Manufacturer III
Manufacturer IV
Plant A
11
13
9.
19
Plant B
12
16
10
14
Plant C
14
13
12
15
Transcribed Image Text:5. A semiconductor corporation produces a particular solid-state module that it supplies to four different television manufacturers. The module can be produced at each of the corporation's three plants, although the costs vary because pf differing production efficiencies at the plants. Specifically, it costs 110 pesos to produce a module at Plant A, 95 pesos to produce a module at Plant B, and 103 pesos to produce a module at Plant C. Monthly production capacities of the plants are 7500, 10000 and 8100 modules, respectively. Sales forecasts project monthly demand at 4200, 8300, 6300 and 2700 for television manufacturers I, II, III and IV, respectively. If the cost (in pesos) for shipping a module from a plant to a manufacturer is as shown in the table below, determine the production level in each plant that will meet all needs at minimum total cost. Manufacturer I Manufacturer II Manufacturer III Manufacturer IV Plant A 11 13 9. 19 Plant B 12 16 10 14 Plant C 14 13 12 15
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