A product is produced by four factories F1, F2, F3, and F4. Their production capacities are: F1:47 units, F2:67 units, F3:27 units and F4:57 units. These factories supply the product to four stores, demand of which is 22, 32, 102, and 17 units respectively. Unit transportation cost in dollars from each factory to each store is given in the following table. Determine the extent of deliveries from each of the factories to each of the stores so that the total production and transportation cost is minimum. Factories Stores Supply S1 S2 S3 S4 F1 4 6 8 13 47 F2 14 12 10 8 67 F3 11 1 7 10 27 F4 10 12 14 9 57 Demand 22 32 102 17

A product is produced by four factories F1, F2, F3, and F4. Their production capacities are: F1:47 units, F2:67 units, F3:27 units and F4:57 units. These factories supply the product to four stores, demand of which is 22, 32, 102, and 17 units respectively. Unit transportation cost in dollars from each factory to each store is given in the following table. Determine the extent of deliveries from each of the factories to each of the stores so that the total production and transportation cost is minimum. Factories Stores Supply S1 S2 S3 S4 F1 4 6 8 13 47 F2 14 12 10 8 67 F3 11 1 7 10 27 F4 10 12 14 9 57 Demand 22 32 102 17

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Description: A product is produced by four factories F1, F2, F3, and F4. Their production capacities are:F1:47 units, F2:67 units, F3:27 units and F4:57 units. These factories supply the product to four stores, demand of which is 22, 32, 102, and 17 units respect

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter5: Network Models

Section: Chapter Questions

Problem 58P

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