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

question 67

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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 centre 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}


Definitions:

Prospect Theory

A psychological theory that describes how people choose between probabilistic alternatives that involve risk, where the potential for losses is weighted more heavily than equivalent gains.

Losing

The state or condition of not winning, often involving missing out on a prize, goal, or desired outcome.

Gaining

The process of acquiring or increasing something, often used in the context of knowledge, skills, or assets.

Implicit Favorites

Refers to the subconscious preferences or biases that individuals may have towards certain options or people without consciously realizing it.

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