Kim Needs to Decide Which Product Distribution Center to Use

Multiple Choice

Kim needs to decide which product distribution center to use to supply her four nail salons. The four locations are at coordinates shown in the following table. The volume of products required from by each store is also provided. What is the center of gravity of the distribution center relative to the salons? $$\begin{array} { | l | c | c | c | } \hline \text { Location } & \text { X-coordinate } & \text { Y-coordinate } & \text { Volume } \\\hline \text { Uptown } & 30 & 70 & 200 \\\hline \text { Midtown } & 40 & 50 & 350 \\\hline \text { Lower East Side } & 50 & 30 & 150 \\\hline \text { Lower West Side } & 10 & 20 & 100 \\\hline\end{array}$$

A) X = 35.625; Y = 47.50
B) X = 28.50; Y = 38.00
C) X = 28,500; Y = 38,000
D) X = 47.50; Y = 35.625