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. 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 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. 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

The total load-distance score is the sum of the products of the demand at each distribution center and the rectilinear distance from the plant to that distribution center. The rectilinear distance between two points (x1, y1) and (x2, y2) is |x1 - x2| + |y1 - y2|.Using this formula, we can calculate the rectilinear distance from the plant at A to each distribution center:* DC A: 0* DC B: |25 - 10| + |30 - 12| = 23* DC C: |8 - 10| + |15 - 12| = 5* DC D: |11 - 10| + |20 - 12| = 10* DC E: |25 - 10| + |6 - 12| = 23The total load-distance score is then:* 40 * 0 + 25 * 23 + 30 * 5 + 10 * 10 + 20 * 23 = 1550Therefore, the total load-distance score is less than or equal to 1500, so the correct answer is A.

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

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