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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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Step 1: Introduction
VIEWStep 2: Find the first three initial tables
VIEWStep 3: Find the next four table
VIEWStep 4: Find the initial feasible solution
VIEWStep 5: Optimality test using stepping stone method (1)
VIEWStep 6: Optimality test using stepping stone method (2)
VIEWStep 7: Optimality test using stepping stone method (3)
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