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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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