A carpenter's enterprise produces tables and chairs. For the construction of a table, 30 meters of wood and 5 hours of labor are needed. For the construction of a chair, 20 meters of wood and 10 hours of labor are also required. The enterprise has a workforce of 110 hours with a 300-meter board in hand. In addition, the profit from the sale of a desk is 60 TL, and the profit from the sale of a chair is 20 TL. The goal of the enterprise is to achieve maximum profit. Accordingly, how many tables and chairs should the carpenter's enterprise produce. Express the problem as a linear programming model.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter7: Systems Of Equations And Inequalities
Section7.2: Systems Of Linear Equations: Three Variables
Problem 57SE: Three coworkers work for the same employer. Their jobs are warehouse manager, office manager, and...
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A carpenter's enterprise produces tables and chairs. For the construction of a table, 30 meters of wood and 5 hours of labor are needed. For the construction of a chair, 20 meters of wood and 10 hours of labor are also required. The enterprise has a workforce of 110 hours with a 300-meter board in hand. In addition, the profit from the sale of a desk is 60 TL, and the profit from the sale of a chair is 20 TL. The goal of the enterprise is to achieve maximum profit. Accordingly, how many tables and chairs should the carpenter's enterprise produce. Express the problem as a linear programming model.

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