Table 912
a Company with a Process Layout Wants to Rearrange

Table 9.12
A company with a process layout wants to rearrange its facility in the space available. There are six departments, and the flow among them is given in the following trip matrix. The shape and the size of the space available is also given. Assume rectilinear distances.
Trips Between Departments
$$\begin{array} { | c | c | c | c | c | c | c | } \hline & \mathrm { A } & \mathrm { B } & \mathrm { C } & \mathrm { D } & \mathrm { E } & \mathrm { F } \\\hline \mathrm { A } & - & 8 & 3 & 0 & 9 & 6 \\\mathrm {~B} & & - & 0 & 8 & 0 & 0 \\\mathrm { C } & & & - & 0 & 8 & 9 \\\mathrm { D } & & & & - & 0 & 3 \\\mathrm { E } & & & & & - & 3 \\\mathrm {~F} & & & & & & - \\\hline\end{array}$$
Location Positions
$$\begin{array} { | l | l | l | } \hline 1 & 2 & 3 \\\hline 4 & 5 & 6 \\\hline\end{array}$$
-Use the information from Table 9.12.Consideration of safety and EPA regulations restrict the location of certain departments: Department A must be assigned to positions 1 or 4,Department D must be assigned to positions 4 or 6,Department E must be assigned to positions 1 or 3,and Department F must be assigned to positions 3 or 6.What is the least load-distance assignment of the departments to locations?

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