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Kim Needs to Decide Which Product Distribution Center to Use

question 31

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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?  Location  X-coordinate  Y-coordinate  Volume  Uptown 3070200 Midtown 4050350 Lower East Side 5030150 Lower West Side 1020100\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}


Definitions:

Thyroxin Secretion

The process by which the thyroid gland produces and releases the hormone thyroxin, which is crucial for regulating metabolism and growth.

Low Thyroxin

A condition indicating insufficient levels of thyroxine, a primary hormone produced by the thyroid gland, which can lead to hypothyroidism and affect metabolism.

Adult

An individual who has reached maturity in terms of age, typically recognized legally and socially, and is considered capable of assuming adult responsibilities.

Sympathetic Division

The branch of the ANS that is most active during emotional responses, such as fear and anxiety, that spend the body’s reserves of energy.

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