# 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

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,

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