Use Graphical Methods to Solve the Linear Programming Problem $z = 6x + 7y$

Multiple Choice

Use graphical methods to solve the linear programming problem.
-Maximize $z = 6x + 7y$
Subject to: $2 x+3 y \leq 12$
$2 x+ y \leq 8$
$x \geq 0$
$y \geq 0$

A) Maximum of 52 when $x=4$ and $y=4$
B) Maximum of 32 when $x=2$ and $y=3$
C) Maximum of 24 when $x=4$ and $y=0$
D) Maximum of 32 when $x=3$ and $y=2$