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 0.21 A B 0.1 с 0.14 D 0.23 E 0.24 0.14 0.24 0.33 0.23 0.27 с 0.15 0.27 0.13 0.14 0.12 D 0.23 0.24 0.17 0.16 0.14 E 0.27 0.15 0.23 0.24 0.23 How long on the average will it take for a brand B customer to switch to brand E?

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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
0.21
0.1
с 0.14
B
0.14
0.24
0.33
0.17
0.23
0.16
0.27
0.14
How long on the average will it take for a brand B customer to switch to brand E?
D
E
с
0.15
0.27
0.13
0.14
0.12
0.23
0.24
D
0.23
0.24
E
0.27
0.15
0.23
0.24
0.23
Transcribed Image Text: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 0.21 0.1 с 0.14 B 0.14 0.24 0.33 0.17 0.23 0.16 0.27 0.14 How long on the average will it take for a brand B customer to switch to brand E? D E с 0.15 0.27 0.13 0.14 0.12 0.23 0.24 D 0.23 0.24 E 0.27 0.15 0.23 0.24 0.23
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