Consider the linear programming problem (LPP):
\[
\text{Maximize } Z = 3x_1 + 5x_2
\]
Subject to:
\[
x_1 + x_3 = 4,
\]
\[
2x_2 + x_4 = 12,
\]
\[
3x_1 + 2x_2 + x_5 = 18,
\]
\[
x_1, x_2, x_3, x_4, x_5 \geq 0.
\]
Given that \( x_B = (x_3, x_2, x_1)^T \) forms the optimal basis of the LPP with basis matrix \( B \) and respective \( B^{-1} \):
\[
B^{-1} = \begin{bmatrix}
\alpha & \beta & -\beta \\
0 & \gamma & 0 \\
0 & -\beta & \beta
\end{bmatrix}
\]
If \( (p, q, r) \) is the optimal solution of the dual of the LPP, then which one of the following is/are TRUE?