Answer
See graph.
\begin{cases} 3x+2y\leq12\hspace2cm(saw-hours) \\ x+2y\leq8\hspace2cm(assembly-hours)\\x\geq0, y\geq0\end{cases}
Work Step by Step
Step 1. Assume the $x$ number of tables and $y$ number of chairs,
Step 2. Set up the inequalities based on the given conditions:
\begin{cases} 3x+2y\leq12\hspace2cm(saw-hours) \\ x+2y\leq8\hspace2cm(assembly-hours)\\x\geq0, y\geq0\end{cases}
Step 3. We can graph the solution set as shown (solution region).
