Use the Given Feasible Region Determined by the Constraint Inequalities $x$

Multiple Choice

Use the given feasible region determined by the constraint inequalities to find the minimum possible value of the
objective function.
-Find the values of $x$ and $y$ that give the minimum possible value of $f = 6 x + 8 y$ subject to the following constraint $\left\{ \begin{array} { l } 2 x + 4 y \geq 12 \\ 2 x + y \geq 8 \\ x \geq 0 , y \geq 0 \end{array} \right.$

A) $x = 0 , y = 3$
B) $x = 0 , y = 0$
C) $x = \frac { 10 } { 3 } , y = \frac { 4 } { 3 }$
D) $x = 6 , y = 0$