East Texas Seasonings Is Preparing to Build One Processing Center

question 134

Multiple Choice

East Texas Seasonings is preparing to build one processing center to serve its four sources of seasonings. The four source locations are at coordinates shown below. Also, the volume from each source is provided. What is the center of gravity?
$$\begin{array} { | l | c | c | c | } \hline & \text { X-coordinate } & \text { Y-coordinate } & \text { Volume } \\\hline \text { Athens, Texas } & 30 & 30 & 150 \\\hline \text { Beaumont, Texas } & 20 & 10 & 350 \\\hline \text { Carthage, Texas } & 10 & 70 & 100 \\\hline \text { Denton, Texas } & 50 & 50 & 200 \\\hline\end{array}$$

• A) X = 28.125; Y = 31.25
• B) X = 22000; Y = 24000
• C) X = 27.5; Y = 40
• D) center of gravity = 28
• E) none of the above

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Definitions:

Regression Equation

A formula that expresses the linear relationship between independent and dependent variables.

Least-Squares Regression

A statistical method used to determine a line of best fit by minimizing the sum of squares of the distances of observed values from the predicted values.

Male Employees

Workers identified as male within an organization, relevant in discussions about gender diversity and employment policies.

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The regular payment, often expressed as an annual sum, given to an employee by an employer in exchange for the employee's work.