What is the optimal solution for the following problem?

Maximize P $=3$x $+15$y

subject to $2$x $+4$y $<=12$

$5$x $+2$y $<=10$

and x $>=0,$ y $>=0.$

Multiple Choice

$($x$,$ y$)=(2,0)$

$($x$,$ y$)=(0,3)$

$($x$,$ y$)=(0,0)$

$($x$,$ y$)=(1,5)$

None of the answer choices are correct.