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.
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
Section: Chapter Questions
Problem 1RQ
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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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