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The following data consists of a matrix of transition probabilities (P) of three competing retailers, the initial market share (0). Assume that each state represents

The following data consists of a matrix of transition probabilities (P) of three competing retailers, the initial market share (0). Assume that each state represents a retailer (Retailer 1, Retailer 2, Retailer 3, respectively) and the transition probabilities represent changes from one month to the next. P = matrix ((0.3 0.6 0.1)(0.7 0.2 0.1)(0.4 0.3 0.3)) (0) = (0.3, 0.6, 0.1) Using the data given in Table 14-2, find the market shares for the three retailers in month 1.

(1) = (0.09, 0.42, 0.49)

(1) = (0.18, 0.12, 0.70)

(1) = (0.55, 0.33, 0.12)

(1) = (0.55, 0.12, 0.33)

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