Find all the basic solutions of the following LP problem
Maximize \( Z =2 x_{1}-4 x_{2}+5 x_{3}-6 x_{4} \)
Such that,
\[
\begin{array}{c}
x_{1}+4 x_{2}-2 x_{3}+8 x_{4}=2 \\
x_{1}+2 x_{2}+x_{3}+2 x_{4}=4 \\
x_{1}, x_{2}, x_{3}, x_{4} \geq 0
\end{array}
\]
Classify them in the following four categories
(A) Basic degenerate feasible solutions are.
(B) Basic non degenerate feasible solutions are
(C) Basic degenerate infeasible solutions are.
(D) Basic non degenerate infeasible solutions are.
