Consider the following transshipment network for finding the shortest route from node 1 to node 7. Min s.t. Node 1 Flows Node 2 Flows Node 3 Flows Node 4 Flows Node 5 Flows Node 6 Flows 9 0 (a) Formulate a linear programming model of the problem. (Express your answers using x where each x is either 0 or 1 for the arc from node/ to node J.) Node 7 Flows 18 3 4 S 6 IN 7 For all xy = 0, 1. (b) Find the shortest route from node 1 to node 7 in the network shown. (Enter your answers as a comma-separated list.) path - 1,

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