Question: Please show the complete manual solution MAXIMAL FLOW 0 Natural Gas Company distributes gas from its source in Node 1 through a network of pipelines

Please show the complete manual solution

MAXIMAL FLOW 0 Natural Gas Company distributes gas from its source in Node 1 through a network of pipelines and pumping stations to its main storage facility in Node 9. The table below gives the capacity per link in thousands of cubic feet/hour. Draw the network diagram. (5 points) Determine the maximum hourly volume that can be delivered to the main storage tank? Solve using augmenting paths. (15 points) Link Forward Reverse Flow Flow 1-2 10 0 1-3 5 0 1-4 9 2-4 6 4 2-5 3 3 3-5 7 6 3-6 8 4 3-7 5 1 4-7 2 0 4-8 18 5-8 13 5-9 7 0 6-7 5 6-8 6 7-8 14 7 7-9 10 0 8-9 5 0 9 6 8

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