The purchase patterns for two brands of toothpaste can be expressed as a Markov process with the following

transition probabilities:

To

From Special B MDA

Special B $0\mathrm{.}900\mathrm{.}10$

MDA $0\mathrm{.}050\mathrm{.}95$

$($a$)$ Which brand appears to have the most loyal customers? Explain.

$($b$)$ What are the projected market shares for the two brands?