Table 9.5
Union Fork, Inc. has five distribution centers located at the location
coordinates given as follows. The demand at each center is also given.
$$\begin{array} { | c | c | c | }
\hline \text { DC } & \text { Coordinates } & \text { Demand } \
\hline \text { A } & ( 2,4 ) & 10 \
\text { B } & ( 6,2 ) & 15 \
\text { C } & ( 4,10 ) & 25 \
\text { D } & ( 13,4 ) & 30 \
\text { E } & ( 10,5 ) & 20 \
\hline
\end{array}$$
-Use the information in Table 9.5.What are the x- and y-coordinates for the center of gravity?
A) x ? 7.5, y ? 6
B) x ? 7.5, y ? 6
C) x ? 7.5, y ? 6
D) x ? 7.5, y ? 6

Question

Table 9.5
Union Fork, Inc. has five distribution centers located at the location
coordinates given as follows. The demand at each center is also given.
 $$\begin{array} { | c | c | c | } 
\hline \text { DC } & \text { Coordinates } & \text { Demand } \
\hline \text { A } & ( 2,4 ) & 10 \
\text { B } & ( 6,2 ) & 15 \
\text { C } & ( 4,10 ) & 25 \
\text { D } & ( 13,4 ) & 30 \
\text { E } & ( 10,5 ) & 20 \
\hline
\end{array}$$
-Use the information in Table 9.5.What are the x- and y-coordinates for the center of gravity?
A) x ? 7.5, y ? 6
B) x ? 7.5, y ? 6
C) x ? 7.5, y ? 6
D) x ? 7.5, y ? 6

Quizplus · Accepted Answer

The center of gravity is the average of the x-coordinates and the average of the y-coordinates, weighted by the demand at each location. The average of the x-coordinates is (2+6+4+13+10)/5 = 7.5. The average of the y-coordinates is (4+2+10+4+5)/5 = 6. Therefore, the center of gravity is (7.5, 6).

Table 95 Union Fork, Inc -Use the Information in Table 9

Table 95
Union Fork, Inc -Use the Information in Table 9