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: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter12: Quadratic Functions
Section12.8: Joint And Combined Variation
Problem 5P
icon
Related questions
Question

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?

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Linear Equations
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
Elementary Algebra
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning