A small manufacturing facility is being planned that will feed parts to three he

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) 291, 302 376, 468 463, 176 VOLUME (PARTS PER YEAR) 4,050 6,100 3,050 Use the centroid method to determine the best location for this new facility. (Round your answers to 1 decimal place.) Cx Cy References Worksheet Difficulty: 3 Challenge Learning Objective: 14-03 Analyze logistics-driven location decisions Problem 14-10

Explanation / Answer

Cx= sum of (dix * Vi)/ sum of Vi

Cy= sum of (diy * Vi)/ sum of Vi

Cx= Centroid X coordinate

Cy= Centroid Y coordinate

dix= X coordinate value at I location

diy = Y coordinate at I location

Vi= Volume

Centroid location X= (291*4050 + 376*6100 + 463*3050)/(4050+6100+3050)

=370.0

Centroid Location Y= (302*4050 + 468*6100 + 176*3050)/(4050+6100+3050)=

= 349.6

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