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% ── PROBLEM STATEMENT ─────────────────────────────────────────
\textbf{Problem:} Consider the following linear program:

\begin{align*}
\max \quad & 10x_1 + 3x_2 \\
\text{s.t.} \quad 
& 2x_1 + x_2 \leq 12 \\
& 5x_1 + x_2 \leq 21 \\
& x_1 \leq 4 \\
& x_1 + x_2 \leq 11 \\
& x_1, x_2 \geq 0
\end{align*}

\begin{enumerate}
    \item Solve the linear program using the simplex method.
    \item What should be the condition in the final tableau that would indicate 
          that there are alternative optimal solutions? Is the condition unique?
\end{enumerate}