8. There are two barbers in a town. Of the people two go to the "good" barber, 92% will go to the good barber again the next time. Of the people who go to the "bad" barber, 18% will go to the bad barber again the next time. On January 1st, out of 100 people, 58 of them went to the good barber and 42 went to the bad barber. Everyone gets a haircut on the first of each month.
a) How many people will be going to each barber on February 1st?
b) What matrix calculation would you have to do to determine the number of people going to each barber on July 1st?
c) After enough time, the number of people going to each barber will "stabilize". How many people out of the 100 will be going to the good barber at this point?
Having trouble with part b. Is there a way to get a matrix calculation to round to the nearest integer?
