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

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a) A Power company has three plants that supply the need of three cities (as shown in Table 2).
Each plant can supply the following numbers of kWh of electricity. Plant 1, 2 and 3 can supply
30, 40 and 50 million kWh, respectively. The demand at city 1, 2 and 3 are 20, 40 and 40,
respectively. The cost of sending electricity from each plant to each city depends on the
distance the electricity must travel.
Table 2:
Transportation costs
From
City 2
City 1
10
8
City 3
16
11
To
Plant 1
11
Plant 2
14
Plant 3
7
10
13
i) Determine the initial basic feasible solution using the Minimum Cost Method.
ii) Use the stepping stone method to find the optimal solution.
Transcribed Image Text:a) A Power company has three plants that supply the need of three cities (as shown in Table 2). Each plant can supply the following numbers of kWh of electricity. Plant 1, 2 and 3 can supply 30, 40 and 50 million kWh, respectively. The demand at city 1, 2 and 3 are 20, 40 and 40, respectively. The cost of sending electricity from each plant to each city depends on the distance the electricity must travel. Table 2: Transportation costs From City 2 City 1 10 8 City 3 16 11 To Plant 1 11 Plant 2 14 Plant 3 7 10 13 i) Determine the initial basic feasible solution using the Minimum Cost Method. ii) Use the stepping stone method to find the optimal solution.
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