Question: Determine the shortest route from node 1 to node 12 for the given network with the distances. Solve manually and by excel. Determine the minimal

Determine the shortest route from node 1 to node 12 for the given network with the distances. Solve manually and by excel.

Determine the minimal spanning tree to connect 10 locations while minimizing the material used. Material requirements for connections are given on the below network. Solve manually.

Determine the shortest route from node 1 to node

Determine the maximal flow from node 1 to node 7. Show the paths and their loads clearly.

Solve manually and by excel.

5 2 10 8 6 2 6 10 7 7 6 2 2 3 9 8 2 11 125 3 1 9 12 3 7 9 3 7 5 5 8 9 4 11 7 6 11 10 8 2 7.2 3.6 5 2.1 6.5 5.6 3 5.9 6 3.4 4.1 7.8 2.8 8.2 2.7 9 7 4.8 6.3 4.6 2.7 6.1 4 10 5.5 8 5.4 7 4 2 124 0 0 7 3 10 15 3 1 12 5 10 5 2 1 3 18 4 14 0 9 9 3 3 6 5

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