Table 14-1 The Following Data Consists of a Matrix of Transition Probabilities

Multiple Choice

Table 14-1
The following data consists of a matrix of transition probabilities (P) of three competing companies,and the initial market share π(0) .Assume that each state represents a company (Company 1,Company 2,Company 3,respectively) and the transition probabilities represent changes from one month to the next.
P = π(0) = (0.3,0.6,0.1)
-Using the data in Table 14-1,determine Company 1's estimated market share in the next period.

A) 0.10
B) 0.20
C) 0.42
D) 0.47
E) None of the above