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

question 100

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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 center of gravity of these four locations?
 Location  X-coordinate  Y-coordinate  Tonnage  Drop-off point A 1810 Drop-off point B 6735 Drop-off point C 6225 Drop-off point D 4750\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}

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Definitions:

Net Income

The amount of money left after subtracting all expenses, taxes, and costs from total revenue.

Variable Cost

A cost that varies depending on the level of output or activity, such as materials or labor costs in manufacturing.

Fixed Cost

A periodic cost that does not vary with production volume or sales.

Variable Costs

Costs that change in proportion to the level of production or sales in a business.

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