Question: 2. Maximum flow problem (35 pts). Consider the network shown below. 3 7 Source Sink 33 a) (20 pts) Use the augmenting path algorithm to

2. Maximum flow problem (35 pts). Consider the

2. Maximum flow problem (35 pts). Consider the network shown below. 3 7 Source Sink 33 a) (20 pts) Use the augmenting path algorithm to find the maximum flow from the source to the sink. The numbers show the forward capacities of the arcs, and the backward capacities are all zero. In every iteration, clearly identify the augmenting path and flow amount. Give the optimal solution (flow on each arc and maximum flow amount). b) (15 pts) Formulate this maximum flow problem as a linear programming

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