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East Texas Seasonings Is Preparing to Build One Processing Centre

question 61

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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?  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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