Question: 1. SHORTEST PATH PROBEM (50 pts) Consider the following directed network. a) (25 pts) Use Dijkstra's algorithm to find the shortest path from node 1

1. SHORTEST PATH PROBEM (50 pts) Consider the

1. SHORTEST PATH PROBEM (50 pts) Consider the following directed network. a) (25 pts) Use Dijkstra's algorithm to find the shortest path from node 1 to node 8 in the given network. Show all your work step by step. 30 100 60 75 50 40 40 100 S 50 50 50 40 35 60 80 b) (25 pts) Formulate this shortest-path problem as an LP. 1. SHORTEST PATH PROBEM (50 pts) Consider the following directed network. a) (25 pts) Use Dijkstra's algorithm to find the shortest path from node 1 to node 8 in the given network. Show all your work step by step. 30 100 60 75 50 40 40 100 S 50 50 50 40 35 60 80 b) (25 pts) Formulate this shortest-path problem as an LP

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