Solve the following linear program graphically. Maximize Z $=(8$X$1+8$X$2)$; subject to the constraints:

X$1+2$X$2<=10$;

$6$X$1+6$X$2<=36$;

X$1<=4$;

X$1+$ X$2>=-2$;

X$1>=0$; X$2>=0.$

Which of the following statements is true?

Group of answer choices

The objective value is $248.$

$((6,0)$ is a feasible corner point.

$(-2,0)$ is a feasible corner point.

There are finite multiple optimal solutions none of which occur at $(0,5).$