Center of Gravity problem
A small manufacturing facility is being planned that will feed parts of three heavy manufacturing facilities. The loc
plants with their coordinates and volume requirements are given in the following table:
Plant Coordinates (X,Y) Volume (per year)
Peoria (300, 320) 4,000
Decatur (375, 470) 6,000
Joliet (470, 180) 3,000
2 Volume
(parts/year)X Y
Peoria 4000 300 320 1,200,000 1,280,000
Decatur 6000 375 470 2,250,000 2,820,000
Joliet 3000 470 180 1,410,000 540,000
13000 373.8 356.9
500
450
400
Y coordinate
350
300
250
200
150
100
200
A 2,3,4,1 1 2 3 4 1
1 0 20 160 60 0
2 80 0 40 80 0
3 120 80 0 100 80
4 80 100 60 0 80
280 200 260 240 160
B B,D,A,C A B C D A
A 0 34 40 30 0
B 24 0 36 54 0
C 60 20 0 36 20
D 50 40 60 0 40
134 94 136 120 60
manufacturing facilities. The locatsion of the current
Current Plants
New plant
300 400 500
X coordinate
3 4 1 4
20 20 0 20
0 0 0 0
0 80 0 0
60 0 60 0
80 100 60 20
C D A C
34 30 0 30
0 0 0 0
0 20 20 0
40 0 0 0
74 50 20 30