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:

Client Grid Location Expected Calls per Month 1 (5, 8) 2 2 (10, 3) 1 3 (14, 14) 1 4 (2, 2) 3 5 (1, 17) 1 6 (18, 25)

7 (14, 3)

8 (25, 4) 4 9 (35, 1) 3 10 (16, 21)

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.