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A water company is analyzing the flow of water through pipes in an office building. The flow capacities are given in the table below. Flow

A water company is analyzing the flow of water through pipes in an office building. The flow capacities are given in the table below. Flow is measured in 100 gallons/hour. What is the maximal flow of water from node 1 (source) to node 5 (sink)?

Branch

Start Node

End Node

Forward Capacity

Reverse Capacity

Branch 1

1

2

3

2

Branch 2

1

3

4

0

Branch 3

1

4

0

4

Branch 4

2

3

5

2

Branch 5

2

4

6

3

Branch 6

2

5

3

6

Branch 7

3

5

4

5

Branch 8

3

4

0

5

Branch 9

4

5

1

3

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