Use the following information about vehicle traffic to and from a proposed sports stadium (not built yet) to find the best location for the stadium that minimizes total distance travelled using the center-of-gravity method. $\begin{array}{|c|c|c|}\hline \begin{array}{c} \text { Zip Code } \ \text { Location } \ \text { Options } \end{array} & \frac{\text { LOCATION COORDINATES }}{\underline{\mathrm{X} Y}} &\begin{array}{c} \text { Vehicles per } \ \text { Stadium Event } \end{array} \ \hline 1 & 4,6 & 3,500 \ \hline 2 & 12,15 & 1,100 \ \hline 3 & 10,10 & 4,900 \ \hline 4 & 7,20 & 2,200 \ \hline \end{array}$ Which one of the following statements is TRUE for this set of center-of-gravity data? A) C_x is less than 10.00 and C_y is more than 10.00. B) C_x is more than 10.00 and C_y is less than 10.00. C) C_x is less than 10.00 and C_y is less than 10.00. D) C_x is more than 10.00 and C_y is more than 10.00.

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Quizplus · Accepted Answer

The center of gravity (CoG) coordinates (x, y) are calculated using the formula: $\text{CoG}_x = \frac{\sum (x_i \times W_i)}{\sum W_i}$ and $\text{CoG}_y = \frac{\sum (y_i \times W_i)}{\sum W_i}$, where $x_i$ and $y_i$ are the coordinates and $W_i$ are the weights (vehicles per stadium event). Calculating the CoG gives $x < 10$ and $y > 10$.

Use the Following Information About Vehicle Traffic to and from a Proposed