Question: A temporary-help agency wants to open an office in a suburban section of a large city. It has identified five large corporate offices as potential customers. The locations of these offices in miles on an $x y$ coordinate grid for the area are \(c_{1}=(4,4)\), \(c_{2}=(4,11), c_{3}=(7,2), c_{4}=(11,11)\), and \(c_{5}=(14,7) .\) The expected demand

for temporary help from these customers is weighted as \(w_{1}=3, w_{2}=2, w_{3}=2\), \(w_{4}=4\), and \(w_{5}=1\). The agency reimburses employees for travel expenses incurred by their assignments; therefore, recommend a location (i.e., x y coordinates) for the agency that will minimize the total weighted metropolitan distance for job-related travel.

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