What combination of $x$ and $y$ will yield the optimum result for this problem? $($c$)$ Rogers

Maximize $$3x+$$$15y$

subject to:

$2x+4y12$

$5x+2y10$

$x,y0.$

This copywritten question may not be copied, photographed, screenshot, or posted, without permission of the author, Dr$.$ Pamela Rogers, and Stephen F$.$ Austin State University.

A$)x=0,y=5$

B$)x=0,y=0$

C$)x=2,y=0$

D$)x=1,y=5$

E$)x=0,y=3$