A small manufacturing facility is being planned that will feed parts to three heavy manufacturing facilities. The locations of the current plants with their coordinates and volume requirements are given in the following table:

PLANT LOCATION COORDINATES (x, y) VOLUME (PARTS PER YEAR)

Peoria 300, 320 4,000 Decatur 375, 470 6,000 Joliet 470, 180 3,000 Use the centroid method to determine the best location for this new facility.