Consider a transportation problem where three warehouses (W1, W2, W3) supply widgets to four factories (F1, F2, F3, F4). The transportation costs, widgets available at each warehouse (the supply), and factory demands are given in the following table. WI W2 W3 demand F1 2 3 1 30 F2 1 2 3 20 F3 2 1 1 10. F4 3 1 1 25 supply 40 20 30 Graphically formulate a transportation problem that can be used to minimize the costs given the above widget demands. Define your decision variables, and clearly label the supply/demand for each node, and the cost for each arc.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Consider a transportation problem where three warehouses (W1, W2, W3) supply widgets to four
factories (F1, F2, F3, F4). The transportation costs, widgets available at each warehouse (the supply), and
factory demands are given in the following table.
WI
W2
W3
demand
F1
2
3
1
30
F2
1
2
3
20
F3
2
1
1
10.
F4
3
1
1
25
supply
40
20
30
Graphically formulate a transportation problem that can be used to minimize the costs given the above
widget demands. Define your decision variables, and clearly label the supply/demand for each node,
and the cost for each arc.
Transcribed Image Text:Consider a transportation problem where three warehouses (W1, W2, W3) supply widgets to four factories (F1, F2, F3, F4). The transportation costs, widgets available at each warehouse (the supply), and factory demands are given in the following table. WI W2 W3 demand F1 2 3 1 30 F2 1 2 3 20 F3 2 1 1 10. F4 3 1 1 25 supply 40 20 30 Graphically formulate a transportation problem that can be used to minimize the costs given the above widget demands. Define your decision variables, and clearly label the supply/demand for each node, and the cost for each arc.
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