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Cross-Median Location Problem
Problem Statement
A health clinic is being planned to serve a rural area in west Texas. The service area consists of four communities at the following xy coordinate locations in miles: A (6, 2), B (8, 6), C (5, 9), D (3, 4), with populations of 2,000, 1,000, 3,000, and 2,000, respectively. Recommend a “cross-median” location for the health clinic minimizing the total weighted metropolitan distance traveled.

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