Solve the following linear program graphically. Maximize Z $=($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

$(0,5\mathrm{.}77)$ is a feasible corner point.

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

The constraint X$1+$ X$2>=-2$ can be thrown out without affecting the feasible region.

The objective value is $1007.$