The four brands of soap have the current market share of 0.23, 0.28, 0.25, and 0.24 for brands A, B, C, and D, respectively. Below is the transition probability matrix of the soap brands based on their annual performance and the number of customers using the brands.

a) What is the market share of Brand D in the long run? Answer in 2 decimal places.

b) How many customers will shift preference in using Brand C soap in the long run?

c) What is the mean return time of Brand 1? Answer in 2 decimal places.

d) What is the percentage change of Brand B? Answer in 2 decimal places.

From/To B A B C D 0.2 0.3 0.1 0.4 0 0.2 0.5 0.3 0.3 0.5 0 0.2 0.3 0.4 0.3 0 Number of Customers 2300 2800 2500 2400