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Six buildings need to be connected by fibre-optic cable. The following symmetric table gives the distance in metres of running a direct cable between buildings.
From/To 1 2 3 4 5 6
1. - 73 62 79 60 -
2. 73 - 74 72 90 91
3. 62 74 - 52 50 88
4. 79 72 52 - 47 70
5. 60 90 50 47 - 75
6. - 91 88 70 75 -
a. Representing each building as a circle, draw a picture showing each potential connection with its distance written next to the link.
b. On this picture, beginning with building 1, use the visual algorithm to find the minimum distance solution.
c. If fibre-optic cable costs $8.50 per metre, what is the cost of the optimal solution?
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