Markov Analysis
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 are the transition probability matrix of the soap brands based on their annual performance and the number of customers using the brands.
| From/To | A | B | C | D | No. of Customers |
| A | 0.2 | 0.3 | 0.1 | 0.4 | 2300 |
| B | 0 | 0.2 | 0.5 | 0.3 | 2800 |
| C | 0.3 | 0.5 | 0 | 0.2 | 2500 |
| D | 0.3 | 0.4 | 0.3 | 0 | 2400 |
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.

Thank you
Markov Analysis The four brands of soap have the current market share of 0.23, 0.28, 0.25,...
Hello, please use Markov process for the problem. Please make
the explanations simple and understandable, I don't have a
statistics background. Thank you!
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Please answer both questions. Will Rate!!
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