Solve the Problem $\mathrm { f } = 2 \mathrm { x } + 4 \mathrm { y }$

Multiple Choice

Solve the problem.
-Find the minimum value of $\mathrm { f } = 2 \mathrm { x } + 4 \mathrm { y }$ subject to the following constraints.
$$\begin{array} { l } x + 2 y \geq 10 \\3 x + y \geq 10 \\x \geq 0 \\y \geq 0\end{array}$$

A) Minimum of 0
B) Minimum of 10
C) Minimum of 30
D) Minimum of 20