A division of the Winston Furniture Company manufactures dining tables and chairs. Each table requires 40 board feet of wood and 6 labor-hours. Each chair requires 16 board feet of wood and 4 labor-hours. The profit for each table is $45, and the profit for each chair is $30. In a certain week, the company has 3200 board feet of wood available and 520 labor-hours

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CM: Cumulative Review Problem Set
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A division of the Winston Furniture Company manufactures dining tables and chairs. Each table requires 40 board feet of wood and 6 labor-hours. Each chair requires 16 board feet of wood and 4 labor-hours. The profit for each table is $45, and the profit for each chair is $30. In a certain week, the company has 3200 board feet of wood available and 520 labor-hours available. How many tables and chairs should Winston manufacture to maximize its profit?

tables       
chairs    



What is the maximum profit?

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