The Outdoor Furniture Corporation manufacturestwo products, benches and picnic tables, for use inyards and parks. The firm has two main resources:its carpenters $($labor force$)$ and a supply of redwoodfor use in the furniture. During the next productioncycle, $1,200$ hours of labor are available under aunion agreement. The firm also has a stock of $3,500$board feet of good$-$quality redwood. Each bench thatOutdoor Furniture produces requires $4$ labor hoursand $10$ board feet of redwood; each picnic tabletakes $6$ labor hours and $35$ board feet of redwood.Completed benches will yield a profit of $$9$ each,and tables will result in a profit of $$20$ each. Howmany benches and tables should Outdoor Furnitureproduce to obtain the largest possible profit? Use thegraphical LP approachth