A toy company has five distribution centers at the location coordinates given in the following table. The monthly demand in each center is also given.

DC	Coordinates	Demand
A	(10,12)	40
B	(25,30)	25
C	(8,15)	30
D	(11,20)	10
mi	(25,6)	20

a. The company has decided to locate a new plant in the center of gravity. What are the x and y coordinates of the center of gravity?

b. If the plant is located at the center of gravity, what is the loading distance score, assuming a straight line distance?

c. If the plant is located at the center of gravity, what is the loading distance score, assuming a Euclidean distance?