Problem

A wooden furniture company manufactures two products, benches and picnic tables, for use in yards and parks. The firm has two main resources: its carpenters (labor force) and a supply of redwood for use in the furniture. During the next production cycle, 1,000 hours of labor are available. The firm also has a stock of 3,500 board-feet of good-quality redwood. Each bench that Outdoor Furniture produces requires 4 labor hours and 10 board-feet of redwood; each picnic table takes 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. Since most customers usually buy tables and benches at the same time, the number of benches made should be at least twice as many as the number of tables made. How many benches and tables should be produced to obtain the largest possible profit?