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.

Detroit

Cleveland

St$.$ Louis

Detroit

$1$

$1/3$

$1/4$

Cleveland

$3$

$1$

$1/2$

St$.$ Louis

$4$

$2$

$1$

Which choice does the decision$-$maker prefer?

Detroit

St$.$ Louis

Cleveland and St$.$ Louis are equally preferred.

Cleveland