Consumer Loyalty A grocer stocks her store with three types of detergents, A, B, C. When
Chapter 10, Problem 21(choose chapter or problem)
Consumer Loyalty A grocer stocks her store with three types of detergents, A, B, C. When brand A is sold out, the probability is 0.7 that she stocks up with brand A and 0.15 each with brands B and C. When she sells out brand B, the probability is 0.8 that she will stock up again with brand B and 0.1 each with brands A and C. Finally, when she sells out brand C, the probability is 0.6 that she will stock up with brand C and 0.2 each with brands A and B. (a) Find the transition matrix. (b) In the long run, what is the stock of detergents?
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