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East Texas Seasonings Is Preparing to Build One Processing Center

question 134

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East Texas Seasonings is preparing to build one processing center 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 center of gravity?
 X-coordinate  Y-coordinate  Volume  Athens, Texas 3030150 Beaumont, Texas 2010350 Carthage, Texas 1070100 Denton, Texas 5050200\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}


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