Making Furniture A furniture manufacturer makes wooden tables and chairs. The pro- duction process involves two basic types of labor: carpentry and finishing. A table requires 2 h of carpentry and 1 h of finishing, and a chair requires 3 h of carpentry and h of finish- ing. The profit is $35 per table and $20 per chair. The manufacturer's employees can supply a maximum of 108 h of carpentry work and 20 h of finishing work per day. How many tables and chairs should be made each day to maximize profit?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter5: Systems Of Equations And Inequalities
Section: Chapter Questions
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Making Furniture A furniture manufacturer makes wooden tables and chairs. The pro-
duction process involves two basic types of labor: carpentry and finishing. A table requires
2 h of carpentry and 1 h of finishing, and a chair requires 3 h of carpentry and h of finish-
ing. The profit is $35 per table and $20 per chair. The manufacturer's employees can supply
a maximum of 108 h of carpentry work and 20 h of finishing work per day. How many tables
and chairs should be made each day to maximize profit?
Transcribed Image Text:Making Furniture A furniture manufacturer makes wooden tables and chairs. The pro- duction process involves two basic types of labor: carpentry and finishing. A table requires 2 h of carpentry and 1 h of finishing, and a chair requires 3 h of carpentry and h of finish- ing. The profit is $35 per table and $20 per chair. The manufacturer's employees can supply a maximum of 108 h of carpentry work and 20 h of finishing work per day. How many tables and chairs should be made each day to maximize profit?
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