4. Consider the network given below with associated arc capacities for a maximum flow problem. 1 4 2 1 1 4 4 5 3 5 a. Write an LP model in open mathematical form to maximize flow from node 1 to node 5...

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Extracted text: 4. Consider the network given below with associated arc capacities for a maximum flow problem. 1 4 2 1 1 4 4 5 3 5 a. Write an LP model in open mathematical form to maximize flow from node 1 to node 5 without using a dummy arc. b. Write an LP model in open mathematical form to maximize flow from node 1 to node 4 using an appropriate dummy arc. 2. 3.