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.If the plant is located at A,what is the total load-distance score,assuming rectilinear distance?
A) less than or equal to 1500
B) more than 1500 but less than or equal to 1600
C) more than 1600 but less than or equal to 1700
D) more than 1700

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.If the plant is located at A,what is the total load-distance score,assuming rectilinear distance?
A) less than or equal to 1500
B) more than 1500 but less than or equal to 1600
C) more than 1600 but less than or equal to 1700
D) more than 1700

Quizplus · Accepted Answer

To calculate the load-distance score, we need to multiply the demand at each distribution center by the rectilinear distance to the plant (DC A).

For Distribution Center A: Score = 40 x (0+0) = 0
For Distribution Center B: Score = 25 x (15+18) = 825
For Distribution Center C: Score = 30 x (2+3) = 150
For Distribution Center D: Score = 10 x (1+8) = 90
For Distribution Center E: Score = 20 x (15+6) = 420

Adding up all the scores, we get a total load-distance score of 1485, which is less than or equal to 1500. Therefore, the answer is A) less than or equal to 1500.

The best choice with the plant located at A would be to have Distribution Center A as the main distribution center, as the score is 0. However, since that is not possible, the next best choice would be Distribution Center C, which has the lowest score after Distribution Center A.

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

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