Table 914
the Department of Philosophy at a University in Oregon

Table 9.14
The department of philosophy at a university in Oregon must allocate six faculty members to their new offices. The following trip matrix indicates the expected number of contacts per day made between professors. Also shown on the right is a sketch of the available office spaces (1 through 6) for the six faculty members. Assume equally sized offices. The distance between office 1 and office 2 (as well as the distance between office 1 and 3) is one unit of distance. Please measure by rectilinear distance.
Trips Between Departments
$$\begin{array} { | c | c | c | c | c | c | c | } \hline & \mathrm { A } & \mathrm { B } & \mathrm { C } & \mathrm { D } & \mathrm { E } & \mathrm { F } \\\hline \mathrm { A } & - - & 0 & 4 & 0 & 0 & 0 \\\mathrm {~B} & & - & 0 & 12 & 0 & 10 \\\mathrm { C } & & & - & 2 & 7 & 0 \\\mathrm { D } & & & & - & 0 & 4 \\\mathrm { E } & & & & & - & 0 \\\mathrm {~F} & & & & & & - \\\hline\end{array}$$
Layout of Available Offices
$$\begin{array} { | c | c | } \hline 1 & 2 \\\hline 3 & 4 \\\hline 5 & 6 \\\hline\end{array}$$
-Use the information in Table 9.14.What is the local-distance score if the faculty members are assigned as follows? (Still assume rectilinear distance.)
$$\begin{array} { | l | l | } \hline \mathrm { A } & \mathrm { C } \\\hline \mathrm { E } & \mathrm { F } \\\hline \mathrm { B } & \mathrm { D } \\\hline\end{array}$$

A) less than or equal to 50
B) greater than 50 but less than or equal to 55
C) greater than 55 but less than or equal to 60
D) more than 60