Table 14-4
Cuthbert Wylinghauser is a scheduler of transportation for the state of Delirium.This state contains three cities: Chaos (C1), Frenzy (C2), and Tremor (C3).A transition matrix, indicating the probability that a resident in one city will travel to another, is given below.Cuthbert's job is to schedule the required number of seats, one to each person making the trip (transition), on a daily basis.
C F T
Transition matrix:

π(0)= [100, 100, 100]
-Using the data given in Table 14-4, what is the equilibrium travel population of Chaos (rounded to the nearest whole person)?
A)79
B)95
C)126
D)100

Question

Table 14-4
Cuthbert Wylinghauser is a scheduler of transportation for the state of Delirium.This state contains three cities: Chaos (C1), Frenzy (C2), and Tremor (C3).A transition matrix, indicating the probability that a resident in one city will travel to another, is given below.Cuthbert's job is to schedule the required number of seats, one to each person making the trip (transition), on a daily basis.
C F T
Transition matrix: 
 
π(0)= [100, 100, 100]
-Using the data given in Table 14-4, what is the equilibrium travel population of Chaos (rounded to the nearest whole person)?
A)79 
B)95 
C)126 
D)100

Quizplus · Accepted Answer

The equilibrium travel population is determined by the balance of inflow and outflow rates. Based on the data in Table 14-4, the calculation results in approximately 126 people.

Table 14-4 Cuthbert Wylinghauser Is a Scheduler of Transportation for the State