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 is the total load-distance score for the two plants if plant 1 is located at the center of gravity serving A,B,and C,and plant 2 is at the center of gravity serving D and E? Assume Euclidean distance.
A) less than or equal to 240
B) more than 240 but less than or equal to 260
C) more than 260 but less than or equal to 280
D) more than 280

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 is the total load-distance score for the two plants if plant 1 is located at the center of gravity serving A,B,and C,and plant 2 is at the center of gravity serving D and E? Assume Euclidean distance.
A) less than or equal to 240
B) more than 240 but less than or equal to 260
C) more than 260 but less than or equal to 280
D) more than 280

Quizplus · Accepted Answer

The center of gravity for plant 1 is calculated using the weighted average of coordinates for A, B, and C. Similarly, for plant 2, the center of gravity is calculated for D and E. The total load-distance score is the sum of the weighted Euclidean distances from each distribution center to its respective plant. The calculations result in a total score between 260 and 280.

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

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