A company is producing two products, cabinets, and chairs. Each of these passes through cutting and assembly processes. A cabinet requires 4hrs in the cutting and 2 hours in the assembly. A chair requires 2hrs in the cutting and 6hrs in the assembly. There are 600 cutting hours per week and 480 assembly hours per week. A cabinet contributes Php800 profit while a chair contributes Php600. How many cabinets and chairs should the company produce to maximize its profit?

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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Solve the given LP problem using graphical method.


A company is producing two products, cabinets, and chairs. Each of these passes through cutting
and assembly processes. A cabinet requires 4hrs in the cutting and 2 hours in the assembly. A chair
requires 2hrs in the cutting and 6hrs in the assembly. There are 600 cutting hours per week and 480
assembly hours per week. A cabinet contributes Php800 profit while a chair contributes Php600. How
many cabinets and chairs should the company produce to maximize its profit?

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