Question: Consider the distribution network shown in Figure 1 below. 1. Formulate and solve an LP model to find the shortest path from node (1) to

Consider the distribution network shown in Figure

Consider the distribution network shown in Figure 1 below. 1. Formulate and solve an LP model to find the shortest path from node (1) to node (7). Distances are in kilometres (km). (10 pts) 2. Assuming that all arcs in the network shown in Figure 1 below are undirected, find the minimal spanning tree for the network. Is it unique? What is the length of the minimal spanning tree? (10 pts) 2 1107 50. 40 60 -40- 7 -60 6 -30- 30 30 40 50 70 4 80 5 Figure 1: Network for Problem 4 (distances are in km)

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