East Texas Seasonings Is Preparing to Build One Processing Centre

Multiple Choice

East Texas Seasonings is preparing to build one processing centre to serve its four sources of seasonings. The four source locations are at coordinates shown below. Also, the volume from each source is provided. What is the centre of gravity? $$\begin{array} { | l | c | c | c | } \hline & \text { X-coordinate } & \text { Y-coordinate } & \text { Volume } \\\hline \text { Athens, Texas } & 30 & 30 & 150 \\\hline \text { Beaumont, Texas } & 20 & 10 & 350 \\\hline \text { Carthage, Texas } & 10 & 70 & 100 \\\hline \text { Denton, Texas } & 50 & 50 & 200 \\\hline\end{array}$$

A) X = 28.125; Y = 31.25
B) X = 22000; Y = 24000
C) X = 27.5; Y = 40
D) centre of gravity = 24000
E) centre of gravity = 28