Solve the following linear program graphically. Maximize $Z=(8x1+8x2)$; subject to the constraints:

$x_1+2x_{2}10$

$6x_1+6x_{2}36$

$x_{1}4$

$x_1+x_2-2$

$x_{1}0$;$x_{2}0$

Which of the following statements is true?

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

is a feasible corner point.

The objective value is $248.$

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