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Name: A furniture manufacturer makes wooden tables and chairs. The productio
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Description: 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

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.CR: Review Problem Set

Problem 37CR

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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 many tables and chairs should be made each day to maximize profit?

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