actories F,(i = 1, 2, 3) from which it transports the products to four warehouses W, 1, 2, 3, 4). The unit costs of production at the three factories are Rs. 4, 3, 5 respectively. Given the following information on unit costs of transportation, capacities at the three factories and of the requirement at the four warehouses. find the optimum allocation using Vogel's Approximation Method. Factory Fi F₂ F₁ Requirements Unit cost of Production (Rs/unit) W₁ Transportation cost (Rs./unit) W₂ 7 6 2 6 200 300 4 3 5 5 4 W₁ 3 9 400 Wa 8 5 5 100 Capacity 300 500 200 1,000

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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=
(a) A company has three factories F,(i = 1, 2, 3) from
which it transports the products to four warehouses
W, 1, 2, 3, 4). The unit costs of production at
the three factories are Rs. 4, 3, 5 respectively.
Given the following information on unit costs of
transportation, capacities at the three factories
and of the requirement at the four warehouses.
find the optimum allocation using Vogel's
Approximation Method.
Factory
Fi
F₂
F₁
Requirements
Unit cost of
Production
(Rs/unit)
4
3
5
Transportation cost
(Rs./unit)
W₁ W₂
5
7
4
6
2
6
200
300
W₁
3
9
4
400
Wa
8
5
5
100
Capacity
300
500
200
1,000
Transcribed Image Text:= (a) A company has three factories F,(i = 1, 2, 3) from which it transports the products to four warehouses W, 1, 2, 3, 4). The unit costs of production at the three factories are Rs. 4, 3, 5 respectively. Given the following information on unit costs of transportation, capacities at the three factories and of the requirement at the four warehouses. find the optimum allocation using Vogel's Approximation Method. Factory Fi F₂ F₁ Requirements Unit cost of Production (Rs/unit) 4 3 5 Transportation cost (Rs./unit) W₁ W₂ 5 7 4 6 2 6 200 300 W₁ 3 9 4 400 Wa 8 5 5 100 Capacity 300 500 200 1,000
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