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 custom-ers. The locations of these offices in miles on an xy coordinate grid for the area are c ₁ = ( 4, 4), c ₂ = ( 4, 11), c ₃ = ( 7, 2), c ₄ = ( 11, 11), and c₅ =  ( 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 w₅ = 1. The agency reimburses employees for travel expenses incurred by their assignments; therefore, recommend a location (i. e., xy coordinates) for the agency that will minimize the total weighted metropolitan distance for job- related travel.