Question

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) 308, 299 366, 469 475, 181 VOLUME (PARTS PER YEAR) 3,900 5,900 2,850 Use the centroid method to determine the best location for this new facility. (Round your answers to 1 decimal place.)

Answer 1

Answer: Cx= 372.7, Cy= 351.7

Explanation:

Plant location	X Coordinate	Y Coordinate	shipping load	weighted X= load* X coordinate	weighted Y= load* Y coordinate
Peoria	308	299	3900	1201200	1166100
Decatur	366	469	5900	2159400	2767100
Joliet	475	181	2850	1353750	515850
SUM			12650	4714350	4449050
				372.7	351.7
				X bar= sum of weighted X /total load	Y bar= sum of weighted Y /total load

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