A clothing manufacturer produces women's clothes at four locations in Texas. Relative locations have been determined, as shown in the table below. The location of a central shipping point for bolts of cloth must now be determined. Weekly quantities to be shipped to each location are also shown in the table. Determine the coordinates of the location that will minimize the distribution costs.

Location

(X,Y)

Weekly quantity

A

(4, 8)

400

B

(3,10)

250

C

(3, 8)

600

D

(5, 4)

300

E

(6, 9)

200