The 3 by 4 grid shown in Fig. 34 represents a network of streets (3 blocks by 4 blocks)
Chapter 7, Problem 31(choose chapter or problem)
The 3 by 4 grid shown in Fig. 34 represents a network of streets (3 blocks by 4 blocks) in a small subdivision. For landscaping purposes, it is necessary to get water to each of the corners by laying down a system of pipes along the streets. The cost of laying down the pipes is $40,000 per mile, and each block of the grid is exactly half a mile long. Find the cost of the cheapest network of pipes connecting all the corners of the subdivision. Explain your answer. (Hint: First determine the number of blocks in the MST.)
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