Use the Given Feasible Region Determined by the Constraint Inequalities $f = 2 x + 5 y$

Multiple Choice

Use the given feasible region determined by the constraint inequalities to find the minimum possible value of the
objective function.
-Find the maximum possible value of $f = 2 x + 5 y$ subject to the following constraints:
$$\left\{ \begin{array} { l } 3 x + 2 y \leq 6 \\- 2 x + 4 y \leq 8 \\x \geq 0 , y \geq 0\end{array} \right.$$

A) 19
B) $\frac { 34 } { 3 }$
C) $\frac { 49 } { 4 }$
D) 10