How many benches and tables should outdoor furniture produce

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Question: The Outdoor Furniture Corporation 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, 200 hours of labor are available under a union agreement. The firm also has a stock of 3, 500 feet of good-quality redwood. Each bench that Outdoor Furniture produces requires 4 labor hours and 10 feet of redwood; each picnic table takes 6 labor hours and 35 feet of redwood. Completed benches will yield a profit of \$9 each, and tables will result in a profit of \$20 each. How many benches and tables should Outdoor Furniture produce to obtain the largest possible profit? Use the graphical LP approach.

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