Participants Eligible for a Retraining Program Can Be in One

Multiple Choice

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) . Approximately how many people will be employed?

A) 10
B) 15
C) 40
D) 55
E) 60