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 versa. For each problem, check your constraints and the feasible region carefully.

Exactly two answers are correct.

There is an optimal solution to this linear program.

$(x,y)=(3\mathrm{.}0,4\mathrm{.}0)$ is feasible corner point to this LP$.$

There are three feasible corner points in this linear program.

This LP has a bounded feasible region.