Consider the following linear program:

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

subject to

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

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

y$>=2$

x$,$ y$>=0$

What is the optimal solution for this linear program, $($x$,$ y$)?($Round to $2$ decimal places.$)$

Group of answer choices

$(3\mathrm{.}00,0\mathrm{.}00)$

$(0\mathrm{.}00,3\mathrm{.}00)$

$(2\mathrm{.}00,1\mathrm{.}50)$

$(2\mathrm{.}00,1\mathrm{.}33)$

$(2\mathrm{.}00,2\mathrm{.}00)$

None of the answers are correct.