Use Graphical Methods to Solve the Linear Programming Problem $z = 6x + 8y$

Multiple Choice

Use graphical methods to solve the linear programming problem.
-Minimize $z = 6x + 8y$
Subject to: $2x+4 y \geq 12$
$2 x+y \geq 8$
$x \geq 0$
$y \geq 0$

A) Minimum of 26 when $x=3$ and $y=1$
B) Minimum of 36 when $x=6$ and $y=0$
C) Minimum of $\frac{92}{3}$ when $x=\frac{10}{3}$ and $y=\frac{4}{3}$
D) Minimum of 0 when $x=0$ and $y=0$