Consider the following linear program $($LP Version $1)$:

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

subject to

$2*$x$+3*$Y $<=12$

$2*$x$+$y $<=8$

$-2*$x $+3*$Y $<=6$

x$,$ y$>=0$

What is the optimal solution, $($x$,$y$)?$

Group of answer choices

$(1\mathrm{.}5,3\mathrm{.}0)$

$(4\mathrm{.}0,0\mathrm{.}0)$

$(2\mathrm{.}0,3\mathrm{.}0)$

None of the answers are correct.

$(3\mathrm{.}0,1\mathrm{.}5)$