Six housing subdivisions within a city area are targeted for emergency service by a centralized fire station. Where should the new fire station be located such that the maximum rectilinear travel distance is minimized? The centroid locations (in miles) and total value of the houses in the subdivisions are as follows:

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Subdivision x-Coordinate y-Coordinate Total Value (in millions) F 23 ABCDEE 20 15 50 25 25 120 13 32 100 25 14 250 4 21 300 18 8 75