A small manufacturing facility is being planned that will feed parts to three he
ID: 466518 • Letter: A
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:
Use the centroid method to determine the best location for this new facility. (Round your answers to 1 decimal place.)
Cx =
Cy =
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 305, 295 3,850 Decatur 385, 470 5,850 Joliet 460, 170 2,900
Use the centroid method to determine the best location for this new facility. (Round your answers to 1 decimal place.)
Cx =
Cy =
Explanation / Answer
Plant Location Methodology: Centroid Method Formulas
Cx = (Sum of dix * Vi ) / sum of Vi
Cy = (Sum of diy * Vi) / sum of Vi
Where:
Cx = X coordinate of centroid
Cy = X coordinate of centroid
dix = X coordinate of the ith location
diy = Y coordinate of the ith location
Vi = volume of goods moved to or from ith location
Now, Cx = Sum (305 * 3850 + 385 * 5850 + 460 * 2900) / ( 3850 + 5850 + 2900) = 377.8
Cy = Sum (295 * 3850 + 470 * 5850 + 170 * 2900) / ( 3850 + 5850 + 2900) = 347.5
The best location for this new facility is (Cx, Cy) = (377.8, 347.5)
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