The Outdoor Furniture Corporation manufactures two products, benches (X) and picnic tables (Y) 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 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. Formulate and solve LP problem for the given data.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Question # 3
The Outdoor Furniture Corporation manufactures two products, benches (X) and picnic tables
(Y) 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 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.
Formulate and solve LP problem for the given data.
Transcribed Image Text:Question # 3 The Outdoor Furniture Corporation manufactures two products, benches (X) and picnic tables (Y) 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 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. Formulate and solve LP problem for the given data.
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