Question: Please be descriptive and show all work step-by-step. A small manufacturing facility is being planned that will feed parts to three heavy manufacturing facilities. The

Please be descriptive and show all work

Please be descriptive and show all work step-by-step.

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 Peoria Decatur Joliet COORDINATES (x, y) 307, 291 378, 467 461, 173 VOLUME (PARTS PER YEAR) 4,150 5,950 3,250 Use the centroid method to determine the best location for this new facility. (Round your answers to 1 decimal place.) Cx

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