Assume That a Plant Manager Has to Decide Where to Locate

Essay

Assume that a plant manager has to decide where to locate its warehouse. The decision has been narrowed down to choices among the following three cities: Detroit, Cleveland, and St. Louis. The following pairwise comparison matrix summarizes the preferences of the plant manager.
$$\begin{array} { | c | c | c | c | } \hline & \text { Detroit } & \text { Cleveland } & \text { St. Louis } \\\hline \text { Detroit } & 1 & 1 / 3 & 1 / 4 \\\hline \text { Cleveland } & 3 & 1 & 1 / 2 \\\hline \text { St. Louis } & 4 & 2 & 1 \\\hline\end{array}$$
Determine the normalized matrix.