Find the Requested Long-Range Probabilities Based on the Transition Matrix $[.2440 .4210 .3350]$

Multiple Choice

Find the requested long-range probabilities based on the transition matrix or data given.
-Each week a sales manager classifies her sales people as low, medium, or high producers. The probabilities that a worker will move from a given category to any other category are given by the transition matrix below. Find the long-range trend for the proportion of low, medium, and high producers.

A) $[.2440 .4210 .3350]$
B) $[.2343 .3472 .4185]$
C) $[.4366 .3472 .2161]$
D) $[.1951$ . 3688 .4366]