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

MaxZ$=-3^{**}x+4^{**}y$

subject to

$-x+y1$

$2**x-y2$

$x+y4$

$x,y0$

Which of the following are true?

Note: For these problems the LP is similar except the constraints may change from "greater$-$than$-$or$-$equal to$"$ to "less$-$than$-$or$-$equal to$"$ or vice ver$].$ For each problem, check your constraints and the feasible region carefully.

This LP is unbounded, that is$,$ there is no optimal solution.

The feasible region is unbounded.

There are five feasible corner points in this problem.

None of the answers are correct.

$(x,y)=(2\mathrm{.}5,1\mathrm{.}5)$ is feasible corner point to this LP$.$