A County Wants to Build One Centrally-Located Processing Facility to Serve

Multiple Choice

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 centre of gravity of these four locations? $$\begin{array} { | l | c | c | c | } \hline \text { Location } & \text { X-coordinate } & \text { Y-coordinate } & \text { Tonnage } \\\hline \text { Drop-off point A } & 1 & 8 & 10 \\\hline \text { Drop-off point B } & 6 & 7 & 35 \\\hline \text { Drop-off point C } & 6 & 2 & 25 \\\hline \text { Drop-off point D } & 4 & 7 & 50 \\\hline\end{array}$$

A) 4.75, 6.04
B) 17, 24
C) 33.5, 135.4
D) 6, 4.25
E) 570, 725