Q2: A mining company has received a contraet to supply iron ore to three steel industries located in towns W, X, and Y. The amount of iron ore needed are 72, 102 and 41 thousand tons by steel industries W, x, and Y respectively. The mining company has three mines located at cities A, B and C. The amount of iron ore available are 76, 82, and 77 thousand tons at cities A, B and C respectively. The cost of transporting one thousand ton of iron ore from each mine to each steel plant in hundred dollars ($) are given in the following matrix. How much iron ore is to be transported from each mine to each steel industry to minimize the total cost of transportation? Find the initial feasible solution for this problem using Vogel 's method.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter5: Network Models
Section5.3: Assignment Models
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Q2: A mining company has received a contract to supply iron ore to three steel
industries located in towns W, X, and Y. The amount of iron ore needed are 72,
102 and 41 thousand tons by steel industries W, x , and Y respectively. The mining
company has three mines located at cities A, B and C. The amount of iron ore
available are 76, 82, and 77 thousand tons at cities A, B and C respectively.
The cost of transporting one thousand ton of iron ore from each mine to each steel
plant in hundred dollars ($) are given in the following matrix. How much iron ore is
to be transported from each mine to each steel industry to minimize the total cost of
transportation? Find the initial feasible solution for this problem using Vogel 's
method.
S/D
W
Y
5
1
8
B
2
5
C
3
10
11
Transcribed Image Text:Q2: A mining company has received a contract to supply iron ore to three steel industries located in towns W, X, and Y. The amount of iron ore needed are 72, 102 and 41 thousand tons by steel industries W, x , and Y respectively. The mining company has three mines located at cities A, B and C. The amount of iron ore available are 76, 82, and 77 thousand tons at cities A, B and C respectively. The cost of transporting one thousand ton of iron ore from each mine to each steel plant in hundred dollars ($) are given in the following matrix. How much iron ore is to be transported from each mine to each steel industry to minimize the total cost of transportation? Find the initial feasible solution for this problem using Vogel 's method. S/D W Y 5 1 8 B 2 5 C 3 10 11
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