Question: Problem 2. (40 points) Consider the maximum flow problem shown below, where the source is node A, the sink is node F, and the arc

Problem 2. (40 points) Consider the maximum flow

Problem 2. (40 points) Consider the maximum flow problem shown below, where the source is node A, the sink is node F, and the arc capacities are the numbers shown next to these directed arcs. 7 B D 9 6 2 3 4 7 E 6 1 (a) Use the augmenting path algorithm to solve this problem. Please indicate the augment- ing path in each iteration. What is the value of the maximum flow (20 points)? (b) Formulate this problem as a minimum cost flow problem, including adding the arc be- tween A and F. Briefly describe how to formulate and the reasons. (10 points)

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