3. (15 marks) Six buildings need to be connected by fibre-optic cable. The follow- ing symmetric...

 

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3. (15 marks) Six buildings need to be connected by fibre-optic cable. The follow- ing 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 3 4 73 7285 74 62 79 60 74 90 - 72 52 50 47 91 88 72 90 91 52 50 88 47 2 6 70 75 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 solu- tion? 3. (15 marks) Six buildings need to be connected by fibre-optic cable. The follow- ing 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 3 4 73 7285 74 62 79 60 74 90 - 72 52 50 47 91 88 72 90 91 52 50 88 47 2 6 70 75 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 solu- tion?