The numbers in the network below represent thousands of gallons per hour as they flow through a chemical processing plant. Two terminals in the chemical processing plant, represented by nodes 6 and 7, have had problems recently, and repairs on these are being considered. However, these repairs would require that these terminals (nodes) be shut down for a significant amount of time, and no material could flow into or out of these nodes until the repairs are finished. What impact would closing these nodes have on the capacity of the network?

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Network for Problem 9-37 5 2 1 1 2 6 2 21 3 6 3 1 12 5 0 1 10 5 0 6 13 3 7 2 5 8 A 14