h) In a certain county there are two radio stations: the Maisha FM and the Jambo FM. A researcher interested in the loyalty to stations of this county found the following:
Of those who listen to the Maisha FM on a given day 50% will do so the following day while rest change to the Jambo FM. Of those who listen to Jambo FM on a given day 40% change to Maisha FM the following day.
Yesterday the loyalty levels were 30% Maisha FM and 70% Jambo FM. Assume all conditions hold.
Required:
Determine levels of both stations
I. Today
II. Tomorrow
III. If the process persists long enough, what will be the eventual loyalty