Question: 6. [20] Consider a directed network where the distances between pair of nodes are given as follows. 12 5 a) [5] Find a shortest path

6. [20] Consider a directed network where the distances between pair of nodes are given as follows. 12 5 a) [5] Find a shortest path from node 1 to 7 using Dynamic programming method. Show your work. (Hint: find conditional optimum in each node first, going from right to left)b) [5] Formulate this shortest path problem on this network as a linear network ow problem. c) [5] Assume that the network represents water pipeline with capacities on arcs. Formulate the maximum ow problem from source node 1 and terminal node T

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