Question: Problem 5 (25 points) Consider the following network where the numbers represent actual distances between corresponding nodes. 3 6 A D 5 5 5 5

Problem 5 (25 points) Consider the following network where the numbers represent actual distances between corresponding nodes. 3 6 A D 5 5 5 5 3 6 2 8 F H T 3 3 5 2 2 B E 6 5 (c) Assume that the numbers on the arcs represent unit shipping costs and there is a source supplying 8 units at node 0 and a sink requiring 5 units at node T, while all other nodes are transshipment nodes, write the flow balance equations for node O, F, and T of the corresponding minimum cost network flow problem. Assume that the arcs incident to node 0 are directed away from the node while the arcs incident to node T are directed toward T, e.g. arcs OA and GT exist but AO and TG do not exist. Also assume that the arcs incident to node F are also directed: DF, CF, EF, FG and FH

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