The graph of Exercise 15 of Section 1.2 modeling a forced-air heat distribution system is displayed again

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The graph of Exercise 15 of Section 1.2 modeling a forced-air heat distribution system is displayed again below, with one additional edge. This time we suppose the fully connected system exists and due to pipe diameter differences, there are individual maximum airflow capacities on edges as shown in the graph. Find the maximal flow on the network from the furnace at vertex 1 to the vent at vertex 9 .

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