Question: (Maximum throughput) Consider a network with the following capacities on each arc: Node 1 Node 2 Node 3 Node 4 Node 5 Node 6 Node

(Maximum throughput) Consider a network with the following capacities on each arc:

	Node 1	Node 2	Node 3	Node 4	Node 5	Node 6	Node 7
Node 1		5	6	5
Node 2			2		3
Node 3		2		3	3	7
Node 4						5
Node 5						1	8
Node 6					1		7
Node 7

Empty capacities mean the corresponding arc does not exist, and note that these arcs are all directed (two-way travel is not always possible). Node 1 is the entrance to this network and Node 7 is the exit. Starting at Node 1 and ending at Node 7, maximize the throughput (a.k.a. total traffic entering and exiting the network) through this network.

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