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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.

Is it possible for the furniture manufacturer to produce 10 tables and 22 chairs in one day? Explain your answer.

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