Participants Eligible for a Retraining Program Can Be in One

Essay

Participants eligible for a retraining program can be in one of four states:
A - not in the training program
B - discharged
C - in training
D - employed
You are given the following transition matrix and the fundamental matrix. $$\begin{array} { r r r r r } & \mathrm { A } & { \text { B } } & \text { C } & \text { D } \\\hline \mathrm { A } & .1 & .6 & .3 & 0 \\\mathrm {~B} & 0 & 1.0 & 0 & 0 \\\mathrm { C } & .2 & .2 & .5 & .1 \\\mathrm { D } & 0 & 0 & 0 & 1.0\end{array}$$
$$\begin{array} { c c c } & \mathrm { A } & \mathrm { C } \\\hline \mathrm { A } & 1.28 & 0.77 \\\mathrm { C } & 0.51 & 2.31\end{array}$$
Assume that there were initially 10 people not in the training program (State
A) and 60 people who were in the training program (State
C). How many people will end up being discharged, and how many people will be employed?