Given the retail location coordinates and the value of material movement in the following chart, find the best supply point location using the center-of-gravity method. $\begin{array}{lll}\text { Reta1 Outlet }&\text { Location Coordinates } \mathrm{X}, \mathrm{Y}&\text { Material Movement }\
1 & 25,05 & 1,500 \
2 & 17,20 & 3,000 \
3 & 12,12 & 1,000 \
4 & 06,09 & 2,200
\end{array}$ Which of the following is a TRUE statement about the best preliminary location (i.e., the center of gravity) for the possible store location?
A) The x-axis and the y-axis are less than 10.0.
B) The x-axis is less than 10.0, and the y-axis is more than 10.0.
C) The x-axis is more than 10.0, and the y-axis is less than 10.0.
D) The x-axis and the y-axis are more than 10.0.

Question

Quizplus · Accepted Answer

The center of gravity method calculates the best location based on the weighted average of the locations' coordinates, factoring in the material movement. The calculation for the x-coordinate is $\frac{(25 \times 1500) + (17 \times 3000) + (12 \times 1000) + (6 \times 2200)}{1500 + 3000 + 1000 + 2200}$, and for the y-coordinate is $\frac{(5 \times 1500) + (20 \times 3000) + (12 \times 1000) + (9 \times 2200)}{1500 + 3000 + 1000 + 2200}$. Both calculations result in values more than 10.0, indicating the best location is in quadrant D.

Given the Retail Location Coordinates and the Value of Material