Consider the following linear program $($LP$)$:

MinZ$=3^{**}x+4^{**}y$

subject $to$

$2^{**}x+y8$

$6^{**}x+y12$

$2^{**}x+3^{**}y12$

$x,y0$

Which of the following are true?

There is a feasible solution to this LP$.$

There is an optimal solution to this LP$.$

There are $3$ feasible corner points.

This LP is unbounded.

Exactly two answers are correct.

Exactly three answers are correct.

Correct answers are: