A Company Has Determined the "Demand Points" and Their Relative

question 159

Essay

A company has determined the "demand points" and their relative locations as follows:
$$\begin{array} { | c | c | c | c | } \hline \begin{array} { c } \text { Demand } \\\text { Points }\end{array} & \text { X-Coordinate } & \text { Y-Coordinate } & \text { Load } \\\hline \text { A } & 10 & 11 & 150 \\\text { B } & 21 & 18 & 150 \\\text { C } & 15 & 12 & 200 \\\text { D } & 21 & 15 & 250 \\\hline\end{array}$$
a.If a company desires to locate a manufacturing facility at the center of gravity,what would be the x- and y-coordinates of the facility?
b.If a facility were to be located at (15,15),what would be the load-distance score? (Assume rectilinear distance.)
c.If a facility were to be located at (15,15),what would be the load-distance score? (Assume Euclidean distance.)

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Definitions:

Mean

The arithmetic average of a set of values or observations, calculated by summing all numbers and then dividing by the count of the numbers.

Standard Deviation

A measure of the amount of variation or dispersion of a set of values, indicating how spread out the numbers are.

Normally Distributed

A statistical description of a data set that forms a bell-shaped curve when graphed, indicating that most values are close to the average.

Average Starting Salary

The mean initial compensation that individuals receive when they start a new job, typically used as a benchmark in job offer negotiations.