In a city there are 3 centres of a company Ci, C2, C3 in which the I
number of workers in total is a fixed number. However, it is allowed to
shift from one centre to another in each month and the scenario is
described in percentage as follows. At the end of each month 30% move
from Ci to C2, 20% move from Ci to C3 and rest stay in C1, 20% move
from C2 to Ci, 30% move from C2 to C3, rest stay in C2, 30% move
from C3 to Ci, 35% move from C3 to C2, rest stay in C3. Draw the
transition diagram and write the Transition matrix. If initially in the first
month the state vector is given by x1 = (50,45,35]", then what is the
situation in the second month? What is the situation in the third
month?
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