Use Graphical Methods to Solve the Linear Programming Problem $z=2 x+4 y$

Multiple Choice

Use graphical methods to solve the linear programming problem.
-Minimize $z=2 x+4 y$
Subject to:
$x+2 y \geq 10$
$3 x+y \geq 10$
$x \geq 0$
$y \geq 0$

A) Minimum of 20 when $x=10$ and $y=0$
B) Minimum of 20 when $x=2$ and $y=4$
C) Minimum of 20 when $\mathrm{x}=2$ and $\mathrm{y}=4$ , as well as when $\mathrm{x}=10$ and $\mathrm{y}=0$ , and all points in between
D) Minimum of 0 when $x=0$ and $y=0$