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 292, 309 4,050
Decatur 383, 466 6,100
Joliet 475, 179 2,850
Use the centroid method to determine the best location for this new facility
Solution
X coordinate = ((292*4050)+ (383*6100)+(475*2850)) /(4050+6100+2850)
= (1,182,600+2,336,300+1,353,750)/13,000
= 374.819
Y coordinate = ((309*4050)+(466*6100)+(179*2850)) /(4050+6100+2850)
= (1,251,450+2,842,600+510,150)/13,000
= 354.169
When centroid method is followed, Best location for new facility is (374.819,