$(1).$ Consider the following contraints:

x$1+$ x$2<=9(1)$

x$2<=3(2)$

x$1$ x$2>=0(3)$

x$1>=0(4)$

x$2>=0(5)$

For parts $($a$)$ and $($b$)$ state whetherthe point given is: Make sure to include a brief explanation for each part.

$($i$)$ a basic feasible solution that is not degenerate

$($ii$)$ a basic feasible solution that is degenerate

$($iii$)$ a basic solution that is not feasible

$($iv$)$ a feasible solution that is not basic

$($v$)$ other

$($a$).$ The point x$1=4\mathrm{.}5,$ x$2=4\mathrm{.}5$ is

$($b$).$ The point x$1=9,$ x$2=0$ is

$($c$).$ Give an example of a feasible solution that is not basic $($iv$).$

$($d$).$ Is there a point that is a degenerate BFS$?$ If so state one. If not, explain briefly why not.