Given the Set of Constraints $$\left\{ \begin{array} { c } 3 x + 2 y \leq 12 \\2 x + y \leq 7 \\x \geq 0 , y \geq 0\end{array} \right\}$$

Multiple Choice

Given the set of constraints $$\left\{ \begin{array} { c } 3 x + 2 y \leq 12 \\2 x + y \leq 7 \\x \geq 0 , y \geq 0\end{array} \right\}$$
Where does the maximum of $p = 3 x + 2 y$ occur at

A) $( 4,0 )$
B) $( 0,7 )$
C) $( 2,3 )$
D) $( 0,6 )$
E) Both $( 0,6 )$ and $( 2,3 )$