Question: 13. Consider the commodity network shown below, where the numbers indicate arc capacities. The prob- lem is to maximize the commodity flow sent from node

13. Consider the commodity network shown below,

13. Consider the commodity network shown below, where the numbers indicate arc capacities. The prob- lem is to maximize the commodity flow sent from node 1 to node 7. 4 2 5 6 1 4 4 2 3 7 3 3 1 9 4 (a) Find a feasible flow for this maximum flow problem that sends 9 units of commodity from node 1 to node 7. (b) Formulate the maximum flow problem as a MCFP. (c) Transform the MCFP in part (b) into standard form. (d) Determine the feasible flow in the transformed MCFP corresponding to the flow in part (a). (e) Given the flow determined in part (d), comment on whether the flow in part (a) is optimal

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