Home-Base, a home improvement and building supply chain, is going to build a new warehouse facility to serve its stores in six North Carolina cities€”Charlotte, Winston-Salem, Greensboro, Durham, Raleigh, and Wilmington. The coordinates of these cities (in miles), using Columbia, South Carolina, as the graphical origin (0, 0), and the annual truckload trips that supply each store are as follows:

Determine the set of coordinates for the new warehouse that will minimize the total miles traveled to the stores and identify on a map the closest town to thesecoordinates.

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Coordinates Store Truckload Charlotte Winston-Salem Greensboro Durham Raleigh Wilmington 85 145 145 140 125 18 160 90 105 35 60 75 15 125 135 180