Somerset Furniture Company imports furniture components and pieces from several manufactures in China and then assembles the finished furniture pieces and adds hardware at a distribution center before shipping the finished pieces of furniture on to its customers’ warehouses in several states. Furniture shipments arrive from China (in containers) at three U.S. ports in the United States—New Orleans, Savannah, and Norfolk. These containers are then transported to Somerset’s distribution center for final furniture assembly before they are shipped in truckloads to five customer warehouses. The (x, y) coordinates of the ports and warehouses and the annual container truckload shipments are shown in the following table.

Determine the best site for Somerset’s distribution center using the center-of-gravitytechnique.

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Coordinates Port/Warehouse New Orleans Savannah Norfolk Annual Truckloads 41 27 34 1100 2700 2800 200 1400 700 1200 2100 700 1400 2200 I 200 1500 2300 2700 2600 20 32 24 18