Consider the following linear program:

Max Z $=2*$x$+3*$Y

subject to

$3*$x$+4*$y $>=12$

$3*$x$+2*$y$>=9$

y$<=1$

x$,$ y$>=0$

Which of the following statements are true? $($Round to $2$ decimal places.$)$

Group of answer choices

The problem is infeasible.

There are three feasible corner points.

A feasible solution is $($x$,$ y$)=(3\mathrm{.}00,0\mathrm{.}00).$

The optimal solution is $($x$,$ y$)=(2\mathrm{.}67,1\mathrm{.}00).$

Exactly two answers are correct.

None of the answers are correct.