Question

Fork International Company has five distribution centers which are located at the coordinates as follows. The demand at each distribution center are also provided.

Distribution Center	xy-Coordinates	Demand Quantity
A	(2,4)	10
B	(6,2)	15
C	(4,10)	25
D	(13,4)	30
E	(10,5)	20

(i) Determine the coordinates of the center of gravity of the five distribution centers.
(ii) If a plant is built at the center of gravity of the five distribution centers, what is the load-distance score? (Assume that the rectilinear distance is used).
(iii) Assume that two plants will be built. Plant 1 will serve distribution centers A, B and C. Plant 2 will be serving distribution centers D and E. Determine the total load-distance score of the plants if Plant 1 is located at the center of gravity of distribution centers A, B and C, while Plant 2 is located at the center of gravity of distribution centers D and E. (Based on rectilinear distance)

Answer 1

i) ii) iii)

Formula