Linear Algebra stochastric matrix Please answer all parts Yo

Linear Algebra, stochastric matrix, Please answer all parts. You can use a calculator but please say the steps you take.

3.) At the beginning of a year, a population of 150,000 consumers is grouped as follows: 40,000 choose Brand A, 30,000 chose Brand B and the remainder choose neither brand. In any given month, Brand A user has a 25% probability ofswitching to Brand Banda 10% chance ofchoosing neither. Brand B has a 18% probability of switching to Bra nd A and 12% chance ofchoosing neither. A non-user of Brand or Brand B has a 1 5 % probability of choosing Brand A and a 1 5% chance of choosing Brand B. a) Create a stochastic matrix for the above. b) In three month, how many people still choose Brand A? In January Brand B does a major marketing campaign and are confident that after three month that l 5% more of those whose chose Brand A will now choose Brand B and 18% of those whose chose neither, will now chose Brand B. How many people will chose Brand B by the end of May? c)

Solution