Use the minimum-entry and u-v methods to solve the following minimum-cost transportation problem. Assuming there is no cost associated with the artificial warehouse or market. Use Bland’s rule to choose entering and leaving variables where variables/cells are ordered from top to bottom and left to right.

Use the minimum-entry and u-v methods to solve the following minimum-cost transportation problem. Assuming there is no cost associated with the artificial warehouse or market. Use Bland’s rule to choose entering and leaving variables where variables/cells are ordered from top to bottom and left to right.

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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Question

Use the minimum-entry and u-v methods to solve the following minimum-cost transportation
problem. Assuming there is no cost associated with the artificial warehouse or market.
Use Bland’s rule to choose entering and leaving variables where variables/cells are ordered from top
to bottom and left to right.

(a)
W₁
W₂
W3
Demands
D2
D2 D3
D3
2
6
4
D₁
2
4 5
1
6
20 30 30
D4
D4
6
3
96
20
Supplies
30
40
50

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Step 1: Modi method(u -v method):

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Step 2: Calculation:

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Step 3: Table-3

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Step 4: The minimum transportation cost:

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