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

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A company has determined the "demand points" and their relative locations as follows:  Demand Points X-Coordinate Y-Coordinate  Load  A 1011150 B2118150C1512200D2115250\begin{array} { | l | l | l | c | } \hline \text { Demand Points } & X \text {-Coordinate } & Y \text {-Coordinate } & \text { Load } \\\hline \text { A } & 10 & 11 & 150 \\\mathrm {~B} & 21 & 18 & 150 \\\mathrm { C } & 15 & 12 & 200 \\\mathrm { 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.)


Definitions:

Transportation by Truck

The conveyance of goods and materials by road using trucks, as part of the logistics and freight industry.

Economical

Pertaining to efficient use or management of resources to prevent wasteful expenditures.

Wheel of Retailing

is a concept that illustrates how new retailing forms often start at a low price point with minimal services before evolving into more established forms with higher costs and services.

Competitive Foothold

A strategic position obtained by a company in a market that gives it an advantage over its competitors.

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