Use Graphical Methods to Solve the Linear Programming Problem $\mathrm{z}=2 \mathrm{x}+5 \mathrm{y}$

Multiple Choice

Use graphical methods to solve the linear programming problem.
-Maximize $\mathrm{z}=2 \mathrm{x}+5 \mathrm{y}$
Subject to: $\quad 3 x+2 y \leq 6$
$-2 x+4 y \leq 8$
$x \geq 0$
$y \geq 0$

A) Maximum of $\frac{49}{4}$ when $\mathrm{x}=\frac{1}{2}$ and $\mathrm{y}=\frac{9}{4}$
B) Maximum of 19 when $x=2$ and $y=3$
C) Maximum of 10 when $x=0$ and $y=2$
D) Maximum of $\frac{34}{3}$ when $x=\frac{2}{3}$ and $y=2$