Table 911
a Company of Four Departments Has the Following
Trip

Table 9.11
A company of four departments has the following
trip matrix and current locations of all departments:
Trips Between Departments
$$\begin{array} { | c | c | c | c | c | } \hline & \mathrm { A } & \mathrm { B } & \mathrm { C } & \mathrm { D } \\\hline \mathrm { A } & - & 18 & 0 & 25 \\\mathrm {~B} & & - & 30 & 0 \\\mathrm { C } & & & - & 12 \\\mathrm { D } & & & & - \\\hline\end{array}$$
Current Layout
$$\begin{array} { | c | c | } \hline A & B \\\hline C & D \\\hline\end{array}$$
-Use the information in Table 9.11.To reduce the load-distance score,the departments were relocated.Which of the following new layouts has the smallest load-distance score?

A) $$\begin{array} { | c | c | } \hline \mathrm { A } & \mathrm { C } \\\hline \mathrm { B } & \mathrm { D } \\\hline\end{array}$$
B) $$\begin{array} { | c | c | } \hline A & B \\\hline D & C \\\hline\end{array}$$
C) $$\begin{array} { | c | c | } \hline \mathrm { D } & \mathrm { D } \\\hline \mathrm { C } & \mathrm { B } \\\hline\end{array}$$
D) $$\begin{array} { | c | c | } \hline B & D \\\hline C & A \\\hline\end{array}$$