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Question: Frank Green, an independent TV repairman, is considering purchasing a home in Ames, Iowa, that he will use as a base of operations for his repair business. Frank's primary sources of business are 10 industrial accounts located throughout the Ames area. He has overlaid a grid on a map of the city and determined the following locations for these clients as well as the expected number of calls per month he receives:

331_Grid.png

Find the optimal location of his house, assuming

a. A weighted rectilinear distance measure.

b. A squared Euclidean distance measure.

c. The goal is to minimize the maximum rectilinear distance to any client.

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