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1. Consider the following uncapacitated network flow problem. The cost of each arc and the external supply of each node are marked on the graph.

1. Consider the following uncapacitated network flow problem. The cost of each arc and the external supply of each node are marked on the graph. (a) Write the linear programming problem corresponding to this network flow problem. (b) Starting from the feasible tree solution corresponding to {(1,2),(1,3),(2,4)}, solve the problem by the network simplex method. 1

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