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Four towns wish to build a radio station. Suppose that the towns are located at (0,0), (6,0), (0,3) and (4,4) on a square grid. At

Four towns wish to build a radio station. Suppose that the towns are located at (0,0), (6,0), (0,3) and (4,4) on a square grid.

At what point (a,b) should the station be located to minimize the sum of the squares of the distances from each town to the station?

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