Question: please show solution Problem 1 (15 points) Consider the graph shown on the left and an initial flow shown on the right. 1. (5 points)

please show solution Problem 1 (15 points) Consider the graph shown

please show solution

Problem 1 (15 points) Consider the graph shown on the left and an initial flow shown on the right. 1. (5 points) Show the residual network and an augmenting path in the residual network (always pick the shortest path). 2. (10 points) Show the resulting new flow. Is it maximum? If not keep finding short augmenting paths to increase the flow until it becomes maximum 3. (5 points) Show a cut whose capacity is equal to the maximum flow value from part (2). 6 2/4 0/6 0/2 2/5 3/5 6 1/3 3/3 5 3 3 b 2/3 0/4 2/7

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