Applicants eligible for a retraining program can be in one of the following states:

A $-$ not in the training program

B $-$ discharged

C $-$ in training

D $-$ employed

The following transition matrix is given:

Assume that there were initially $20$ people not in the training program and $120$ people who were in

the training program.

$3\mathrm{.}1$ How many people will end up being discharged, and how many people will be employed? $(12)$

$3\mathrm{.}2$ Determine the absorbing and non$-$absorbing states of the following matrix of transition:$(3)$

NB: SHOW ALL STEPS & ATTACH ANY EXCEL OR WORD SHEETS