Table 9.2
Durham Toy, Inc. has five distribution centers at the location coordinates
given as follows. The monthly demand at each center is also given.
$$\begin{array} { | c | c | c | }
\hline \mathrm { DC } & \text { Coordinates } & \text { Demand } \
\hline \mathrm { A } & ( 10,12 ) & 40 \
\mathrm {~B} & ( 25,30 ) & 25 \
\mathrm { C } & ( 8,15 ) & 30 \
\mathrm { D } & ( 11,20 ) & 10 \
\mathrm { E } & ( 25,6 ) & 20 \
\hline
\end{array}$$
-Use the information in Table 9.2.What are the x- and y-coordinates for the center of gravity?
A) x ? 14, y ? 15
B) x

Question

Table 9.2
Durham Toy, Inc. has five distribution centers at the location coordinates
given as follows. The monthly demand at each center is also given.
 $$\begin{array} { | c | c | c | } 
\hline \mathrm { DC } & \text { Coordinates } & \text { Demand } \
\hline \mathrm { A } & ( 10,12 ) & 40 \
\mathrm {~B} & ( 25,30 ) & 25 \
\mathrm { C } & ( 8,15 ) & 30 \
\mathrm { D } & ( 11,20 ) & 10 \
\mathrm { E } & ( 25,6 ) & 20 \
\hline
\end{array}$$
-Use the information in Table 9.2.What are the x- and y-coordinates for the center of gravity?
A) x ? 14, y ? 15
B) x < 14, y ? 15
C) x <14, y < 15
D) x ? 14, y < 15

Quizplus · Accepted Answer

The coordinates for the center of gravity are given by:
x = (Σ(demand * x-coordinate))/Σ(demand)
y = (Σ(demand * y-coordinate))/Σ(demand)
Using the values from Table 9.2, we get:
x = (40 * 10 + 25 * 25 + 30 * 8 + 10 * 11 + 20 * 25)/(40 + 25 + 30 + 10 + 20) = 14
y = (40 * 12 + 25 * 30 + 30 * 15 + 10 * 20 + 20 * 6)/(40 + 25 + 30 + 10 + 20) = 15
Therefore, the x- and y-coordinates for the center of gravity are x = 14 and y = 15. The answer is choice A.

Table 92 Durham Toy, Inc -Use the Information in Table 9

Table 92
Durham Toy, Inc -Use the Information in Table 9