Chapter 5.2, Problem 52E

Furniture. A furniture manufacturing company manufactures dining-room tables and chairs. A table requires $8$ labor-hours for assembling and $2$ labor-hours for finishing. A chair requires $2$ labor-hours for assembling and $1$ labor-hour for finishing. The maximum labor-hours available per day for assembly and finishing are $400$ and $120$, respectively. If $x$ is the number of tables and $y$ is the number of chairs produced per day, write system of linear inequalities that indicates appropriate restraints on $x$ and $y$. Find the set of feasible solutions graphically for the number of tables and chairs that can be produced.