Use the Given Feasible Region Determined by the Constraint Inequalities $f = 5 x + 6 y$

Multiple Choice

Use the given feasible region determined by the constraint inequalities to find the maximum possible value of the
objective function.
- $f = 5 x + 6 y$ subject to the constraints
$$\left\{ \begin{array} { l } x + 2 y \leq 14 \\3 x + 2 y \leq 18 \\- x + 2 y \leq 12 \\x \geq 0 , y \geq 0\end{array} \right.$$

A) 36
B) 40
C) 46
D) 44