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Formulate but do not solve the following exercise as a linear programming problem. A division of the Winston Furniture Company manufactures x dining tables and y chairs. Each table requires 40 board feet of wood and 4 labor-hours. Each chair requires 16 board feet of wood and 2 labor-hours. In a certain week, the company has 3200 board feet of wood available and 500 labor-hours. If the profit for each table is $50 and the profit for each chair is $18, how many tables and chairs should Winston manufacture to maximize its profits P in dollars? Maximize subject to the constraints board feet labor-hours x20 y 20

Formulate but do not solve the following exercise as a linear programming problem. A division of the Winston Furniture Company manufactures x dining tables and y chairs. Each table requires 40 board feet of wood and 4 labor-hours. Each chair requires 16 board feet of wood and 2 labor-hours. In a certain week, the company has 3200 board feet of wood available and 500 labor-hours. If the profit for each table is $50 and the profit for each chair is $18, how many tables and chairs should Winston manufacture to maximize its profits P in dollars? Maximize subject to the constraints board feet labor-hours x20 y 20

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 33E
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Formulate but do not solve the following exercise as a linear programming problem. A division of the Winston Furniture Company manufactures x dining tables and y chairs. Each table requires 40 board feet of wood and 4 labor-hours. Each chair requires 16 board feet of wood and 2 labor-hours. In a certain week, the company has 3200 board feet of wood available and 500 labor-hours. If the profit for each table is $50 and the profit for each chair is $18, how many tables and chairs should Winston manufacture to maximize its profits P in dollars? Maximize P = subject to the constraints board feet labor-hours x 2 0
Transcribed Image Text:Formulate but do not solve the following exercise as a linear programming problem. A division of the Winston Furniture Company manufactures x dining tables and y chairs. Each table requires 40 board feet of wood and 4 labor-hours. Each chair requires 16 board feet of wood and 2 labor-hours. In a certain week, the company has 3200 board feet of wood available and 500 labor-hours. If the profit for each table is $50 and the profit for each chair is $18, how many tables and chairs should Winston manufacture to maximize its profits P in dollars? Maximize P = subject to the constraints board feet labor-hours x 2 0
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