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3- Customers tend to exhibit loyalty to product brands but may be persuaded through clever marketing and advertising to switch brands. Consider the case of

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3- Customers tend to exhibit loyalty to product brands but may be persuaded through clever marketing and advertising to switch brands. Consider the case of five brands: A, B, C, D and E. Customers "unyielding loyalty to a given brand is estimated to switch the other brands with the probabilities given in the following transition matrix. A B A 0.25 0.15 0.24 0.13 0.23 B 0.13 0.25 0.2 0.26 0.23 0.11 0.15 0.13 0.12 0.14 D 0.26 0.24 0.31 0.23 0.18 E 0.25 0.21 0.12 0.26 0.22 D E In the long run, how much market share will brand D command? a) b) 10.80% 13.10% c) 15.00% d) 11.90%

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