Introduction to Management Science 12th Edition by Bernard Taylor

Exercise 24

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 these coordinates.