Table 10.2
Durham Toy, Inc. has five distribution centers at the location coordinates
given as follows. The monthly demand at each center is also given.
$$\begin{array} { | c | c | c | }
\hline \text { DC } & \text { Coordinates } & \text { Demand } \
\hline \text { A } & ( 10,12 ) & 40 \
\text { B } & ( 25,30 ) & 25 \
\text { C } & ( 8,15 ) & 30 \
\text { D } & ( 11,20 ) & 10 \
\text { E } & ( 25,6 ) & 20 \
\hline
\end{array}$$
-Use the information in Table 10.2. What are the x- and y- coordinates for the center of gravity?
A) x

Question

Table 10.2
Durham Toy, Inc. has five distribution centers at the location coordinates
given as follows. The monthly demand at each center is also given.
$$\begin{array} { | c | c | c | } 
\hline \text { DC } & \text { Coordinates } & \text { Demand } \
\hline \text { A } & ( 10,12 ) & 40 \
\text { B } & ( 25,30 ) & 25 \
\text { C } & ( 8,15 ) & 30 \
\text { D } & ( 11,20 ) & 10 \
\text { E } & ( 25,6 ) & 20 \
\hline
\end{array}$$
-Use the information in Table 10.2. 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 center of gravity coordinates are calculated using the weighted average of the coordinates, weighted by demand. The calculations result in x ≈ 14.5 and y ≈ 16.1, which falls in the range of x ≥ 14 and y ≥ 15.

Table 102 Durham Toy, Inc -Use the Information in Table 10

Table 102
Durham Toy, Inc -Use the Information in Table 10