A furniture manufacturer makes wooden tables and chairs. The production process involves two basic types of labor: carpentry and finishing. A table requires 2 hours of carpentry and 1 hour of finishing, and a chair requires 3 hours of carpentry and ½ hour of finishing. The profit is P2,000 per table and P1,000 per chair. The manufacturer’s employees can supply a maximum of 108 hours of carpentry work and 20 hours of finishing work per day. How much is the possible maximum profit?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter9: Systems Of Equations And Inequalities
Section9.2: Systems Of Linear Equations In Two Variables
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  A furniture manufacturer makes wooden tables and chairs. The production process involves two basic types of labor: carpentry and finishing. A table requires 2 hours of carpentry and 1 hour of finishing, and a chair requires 3 hours of carpentry and ½ hour of finishing. The profit is P2,000 per table and P1,000 per chair. The manufacturer’s employees can supply a maximum of 108 hours of carpentry work and 20 hours of finishing work per day.

How much is the possible maximum profit?

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