Table 9.4
Table 7.4 A company has determined the "demand points" and their relative locations as follows:
Coordinates
$$\begin{array} { | c | c | c | c | }
\hline \begin{array} { c }
\text { Demand } \
\text { Point }
\end{array} & \mathrm { x } & \mathrm { y } & \text { Demand } \
\hline \mathrm { A } & 10 & 10 & 100 \
\mathrm {~B} & 10 & 20 & 200 \
\mathrm { C } & 15 & 10 & 150 \
\mathrm { D } & 20 & 10 & 200 \
\hline
\end{array}$$
-Using the information in Table 9.4.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?
A) x ? 14, y ? 14
B) x ? 14, y 14
C) x ? 15, y ? 14
D) x ? 15, y 15

Question

Table 9.4
Table 7.4 A company has determined the "demand points" and their relative locations as follows:
Coordinates
 $$\begin{array} { | c | c | c | c | } 
\hline \begin{array} { c } 
\text { Demand } \
\text { Point }
\end{array} & \mathrm { x } & \mathrm { y } & \text { Demand } \
\hline \mathrm { A } & 10 & 10 & 100 \
\mathrm {~B} & 10 & 20 & 200 \
\mathrm { C } & 15 & 10 & 150 \
\mathrm { D } & 20 & 10 & 200 \
\hline
\end{array}$$
-Using the information in Table 9.4.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?
A) x ? 14, y ? 14
B) x ? 14, y > 14
C) x ? 15, y ? 14
D) x ? 15, y > 15

Quizplus · Accepted Answer

To determine the center of gravity, we need to find the weighted average of the demand points' coordinates.

x-coordinate of center of gravity = (10*100 + 10*200 + 15*150 + 20*200)/(100+200+150+200) = 14.33

y-coordinate of center of gravity = (10*100 + 20*200 + 10*150 + 10*200)/(100+200+150+200) = 14.17

Therefore, the closest choice is C, with x-coordinate rounded to 15 and y-coordinate rounded to 14.

Table 94 Table 7 -Using the Information in Table 9

Table 94
Table 7 -Using the Information in Table 9