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, 1,250 hours of labor are available under a union agreement. The firm also has a stock of 3,300 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 $19 each, and tables will result in a profit of $20 each. Outdoor Furniture wanted to know how many benches and tables should Outdoor Furniture produce to obtain the largest possible profit. Model the problem as an LP problem.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.CT: Test
Problem 24CT
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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, 1,250 hours of labor are available under a union agreement. The firm also has a stock of 3,300 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 $19 each, and tables will result in a profit of $20 each. Outdoor Furniture wanted to know how many benches and tables should Outdoor Furniture produce to obtain the largest possible profit. Model the problem as an LP problem.

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