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a) Define the Transportation model. b) A Power company has three plants that supply the need of three cities. Each plant can supply the following numbers of kWh of electricity. Plants 1, 2 and 3 can supply 30, 40 and 50 million kWh respectively. The demand at City 1, City 2 and City 3 are 20, 40 and 40, respectively. Table 1 shows the cost of sending electricity from each plant to each city depends on the distance the electricity must travel. Table 1: Transportation costs To Plant 1 From City 1 City 2 City 3 10 11 16 Plant 2 8 14 11 Plant 3 7 10 13 Formulate the above problem as a balanced Transportation problem.

a) Define the Transportation model. b) A Power company has three plants that supply the need of three cities. Each plant can supply the following numbers of kWh of electricity. Plants 1, 2 and 3 can supply 30, 40 and 50 million kWh respectively. The demand at City 1, City 2 and City 3 are 20, 40 and 40, respectively. Table 1 shows the cost of sending electricity from each plant to each city depends on the distance the electricity must travel. Table 1: Transportation costs To Plant 1 From City 1 City 2 City 3 10 11 16 Plant 2 8 14 11 Plant 3 7 10 13 Formulate the above problem as a balanced Transportation problem.

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter6: Optimization Models With Integer Variables
Section6.5: Set-covering And Location-assignment Models
Problem 34P
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a) Define the Transportation model. b) A Power company has three plants that supply the need of three cities. Each plant can supply the following numbers of kWh of electricity. Plants 1, 2 and 3 can supply 30, 40 and 50 million kWh respectively. The demand at City 1, City 2 and City 3 are 20, 40 and 40, respectively. Table 1 shows the cost of sending electricity from each plant to each city depends on the distance the electricity must travel. Table 1: Transportation costs From City 1 City 2 City 3 To Plant 1 10 11 16 Plant 2 8 14 11 Plant 3 7 10 13 Formulate the above problem as a balanced Transportation problem.
Transcribed Image Text:a) Define the Transportation model. b) A Power company has three plants that supply the need of three cities. Each plant can supply the following numbers of kWh of electricity. Plants 1, 2 and 3 can supply 30, 40 and 50 million kWh respectively. The demand at City 1, City 2 and City 3 are 20, 40 and 40, respectively. Table 1 shows the cost of sending electricity from each plant to each city depends on the distance the electricity must travel. Table 1: Transportation costs From City 1 City 2 City 3 To Plant 1 10 11 16 Plant 2 8 14 11 Plant 3 7 10 13 Formulate the above problem as a balanced Transportation problem.
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