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:

Coordinates Store x y Truckload Charlotte 15 85 160 Winston-Salem 42 145 90 Greensboro 88 145 105 Durham 125 140 35 Raleigh 135 125 60 Wilmington 180 18 75 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 these coordinates. LO.1