Use Graphical Methods to Solve the Linear Programming Problem $\mathrm{z}=8 \mathrm{x}+12 \mathrm{y}$

Multiple Choice

Use graphical methods to solve the linear programming problem.
-Maximize $\mathrm{z}=8 \mathrm{x}+12 \mathrm{y}$
Subject to:
$40 x+80 y \leq 560$
$6 x+8 y \leq 72$
$x \geq 0$
$y \geq 0$

A) Maximum of 120 when $x=3$ and $y=8$
B) Maximum of 92 when $x=4$ and $y=5$
C) Maximum of 96 when $x=9$ and $y=2$
D) Maximum of 100 when $x=8$ and $y=3$