We Are to Minimize $p = 3 a + 2 b$

Multiple Choice

We are to minimize $p = 3 a + 2 b$ subject to the following constraints.
$$\left\{ \begin{array} { c } a + b \geq 4 \\3 a + b \geq 6 \\a , b \geq 0\end{array} \right\}$$
What is the dual problem in matrix form

A) $\left[ \begin{array} { l l l } 1 & 1 & 4 \\3 & 1 & 6 \\3 & 2 & 0\end{array} \right]$
B) $\left[ \begin{array} { l l l } 1 & 1 & 4 \\3 & 1 & 6 \\1 & 1 & 0\end{array} \right]$
C) $\left[ \begin{array} { c c c } 1 & 1 & 4 \\3 & 1 & 6 \\- 3 & - 2 & 0\end{array} \right]$
D) $\left[ \begin{array} { c c c } 1 & 3 & - 3 \\1 & 1 & - 2 \\4 & 6 & 0\end{array} \right]$
E) $\left[ \begin{array} { l l l } 1 & 3 & 3 \\1 & 1 & 2 \\4 & 6 & 0\end{array} \right]$