Question: 1. Consider the minimum cost flow problem shown below, where the b values (net flows generated) are given by the nodes, the Cj values (costs

1. Consider the minimum cost flow problem shown below, where the b values (net flows generated) are given by the nodes, the Cj values (costs per unit flow) are given by the arcs, and the Un, values (arc capacities) are Uan-20, Usc-8, and other Uipo. [40] [-10] 6 A 5 2 E [-50] B D [20] [0] (a) Formulate the linear programming model of this problem. (15 Points) (b) Consider the optimal solution of the problem shown below: Value Variable XAB XAC 0 20 XAD 20 XBC 8 XBD 12 XCE 18 XDE 32 (b1) Determine the objective value of the minimum cost flow problem. (5 Points) (52) Show the optimal solution on the network. (10 Points)

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