LP question: Completed benches sell for $$60$ each, and tables sell for $$150$ each. Each bench requires $3$ labor hours and $10$ pounds of wood. Each table requires $6$ labor hours and $35$ pounds of wood. $545$ pounds of wood is available at a cost of $$2$ per pound. They employ three carpenters. During the next week, $120$ hours of labor are available at regular wages $($$$8$ per hour$).$ Up to $30$ hours of overtime can be used at a wage rate of $$12$ per hour. Up to $30$ hours of weekend time can be utilized at a wage rate of $$16$ per hour. How many benches and tables should be produced in order to maximize the profit?The Quality Furniture Corporation manufactures two products: benches and tables. Completed benches sell for $$60$ each, and tables sell for $$150$ each. Each bench requires $3$ labor hours and $10$ pounds of wood. Each table requires $6$ labor hours and $35$ pounds of wood. $545$ pounds of wood is available at a cost of $$2$ per pound. They employ three carpenters. During the next week, $120$ hours of labor are available at regular wages $($$$8$ per hour$).$ Up to $30$ hours of overtime can be used at a wage rate of $$12$ per hour. Up to $30$ hours of weekend time can be utilized at a wage rate of $$16$ per hour. How many benches and tables should be produced in order to maximize the profit?