Question: A county wants to build one centrally-located processing facility to serve the county's four recycling drop-off locations. The four drop-offs have characteristics as given in

A county wants to build one centrally-located processing facility to serve the county's four recycling drop-off locations. The four drop-offs have characteristics as given in the table below. What is the approximate center of gravity of these four locations?

Location

X-coordinate

Y-coordinate

Tonnage

Drop-off point A

1

8

10

Drop-off point B

6

7

35

Drop-off point C

6

2

25

Drop-off point D

4

7

50

A) (4.75, 6.04)

B) (17, 24)

C) (33.5, 135.4)

D) (6, 4.25)

E) (570, 725)

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