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	291, 299	4,300
Decatur	381, 473	5,950
Joliet	464, 178	3,050
Use the centroid method to determine the best location for this new facility. (Round your answers to 1 decimal place.) PLease provide step by step of how it was completed. Thank you