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.Because of their academic position Professor A must be assigned to office 1,Professor C must be assigned to office 2,and professor D must be assigned to office 6.What faculty members should be assigned to offices 3,4,and 5,respectively to minimize the total load-distance score? (Assume rectilinear distance)

A) F, E, B
B) E, B, F
C) B, E, F
D) F, B, E