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A semiconductor manufacturer 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 of differing production efficiencies at the plants. Specifically, it costs 110 units to produce a module at plant A, 95 units at plant B and 103 units 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 modules for television manufacturers i, II, III and IV respectively. If the cost for shipping a module from a factory to a manufacturer is as shown below, find a production schedule that will meet all needs at minimum total cost.

A semiconductor manufacturer 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 of differing production efficiencies at the plants. Specifically, it costs 110 units to produce a module at plant A, 95 units at plant B and 103 units 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 modules for television manufacturers i, II, III and IV respectively. If the cost for shipping a module from a factory to a manufacturer is as shown below, find a production schedule that will meet all needs at minimum total cost.

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter5: Network Models
Section: Chapter Questions
Problem 80P
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A semiconductor manufacturer 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 of differing production efficiencies at the plants. Specifically, it costs 110 units to produce a module at plant A, 95 units at plant B and 103 units 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 modules for television manufacturers i, II, IllI and IV respectively. If the cost for shipping a module from a factory to a manufacturer is as shown below, find a production schedule that will meet all needs at minimum total cost. | || | III| IV A 1 9 19 13 1 1 16 1 14 2 1 13 1 15 4
Transcribed Image Text:A semiconductor manufacturer 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 of differing production efficiencies at the plants. Specifically, it costs 110 units to produce a module at plant A, 95 units at plant B and 103 units 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 modules for television manufacturers i, II, IllI and IV respectively. If the cost for shipping a module from a factory to a manufacturer is as shown below, find a production schedule that will meet all needs at minimum total cost. | || | III| IV A 1 9 19 13 1 1 16 1 14 2 1 13 1 15 4
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