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Five warehouses are supplied by four factories. The supply available from each factory, the demand at each warehouse and the cost per unit of transporting goods from the factories to the warehouses are summarised in the following table: Warehouses W1 W2 W3 W4 W5 Supply Factories F1 13 9 10 15 10 12 F2 11 10 12 12 9 10 F3 12 9 11 12 9 20 F4 13 12 12 12 10 10 Demand 12 15 20 15 18 Find the optimal solution to this transportation problem.

Five warehouses are supplied by four factories. The supply available from each factory, the demand at each warehouse and the cost per unit of transporting goods from the factories to the warehouses are summarised in the following table: Warehouses W1 W2 W3 W4 W5 Supply Factories F1 13 9 10 15 10 12 F2 11 10 12 12 9 10 F3 12 9 11 12 9 20 F4 13 12 12 12 10 10 Demand 12 15 20 15 18 Find the optimal solution to this transportation problem.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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Five warehouses are supplied by four factories. The supply available from each factory, the demand at each warehouse and the cost per unit of transporting goods from the factories to the warehouses are summarised in the following table: Warehouses W1 W2 W3 W4 W5 Supply Factories F1 13 9. 10 15 10 12 F2 11 10 12 12 10 F3 12 11 12 20 F4 13 12 12 12 10 10 Demand 12 15 20 15 18 Find the optimal solution to this transportation problem.
Transcribed Image Text:Five warehouses are supplied by four factories. The supply available from each factory, the demand at each warehouse and the cost per unit of transporting goods from the factories to the warehouses are summarised in the following table: Warehouses W1 W2 W3 W4 W5 Supply Factories F1 13 9. 10 15 10 12 F2 11 10 12 12 10 F3 12 11 12 20 F4 13 12 12 12 10 10 Demand 12 15 20 15 18 Find the optimal solution to this transportation problem.
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