As part of the planning for a major office development project, it is necessary to install telephone line to the buildings. Information about the project is given below. The distances are provided in hundreds of feet
Which offices should be connected so that total wiring costs (i.e., total distance) are minimized? What is the total length of this?
Building Distances (100s ft)
1 to 2 4
1 to 4 3
2 to 3 2
2 to 4 4
3 to 5 1
3 to 6 5
4 to 5 3
4 to 7 3
5 to 7 2
6 to 7 6
One solution is to connect 1-4, 2-3, 3-6, 3-5, 4-5, 5-7. Total length = 16.
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