Q$2.$ a$)$ A company is faced with the problem of assigning $4$ persons to $6$ different jobs with a condition that one person can handle only one job and no job work can be shared amongst the persons. The profits are estimated as follows:

Jobs

Person

A

B

C

D

I

$3$

$6$

$2$

$6$

II

$7$

$1$

$4$

$4$

III

$3$

$8$

$5$

$8$

IV

$6$

$4$

$3$

$7$

V

$5$

$2$

$4$

$3$

VI

$5$

$7$

$6$

$4$

Solve the problem to maximize the total profit. Which jobs will be left unattended?