The diagram below represents the lubrication system of a machine; the lubricant flows from a source area at node 1 , through components \(2-6\), which require lubrication, and collects at node 7 . Edge capacities are maximum allowable flow rates from one position to another. Find the feasible flow that maximizes the total flow of lubricant through the machine.

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4 4 10 2 Exercise 11