Systems of Inequalities from Word Problems and Maximizing Profit
Not what you're looking for?
A furniture company displays bedroom sets which require 21 square meters of space and living room sets which require 42 square meters of space. The company, which has 546 square meters of available space, wants to display at lease 6 bedroom sets and at least 5 living room sets.
1) Let x represent the number of bedroom sets, and y represent the number of living room sets. Write a system of inequalities to represent the number of furniture sets that can be displayed.
2) If a bedroom set sells for $10,000 and a Living room sells for $18,000, determine the number of bedroom sets and living room sets that must be sold to maximize the amount collected.
Purchase this Solution
Solution Summary
An LP problem is solved. The solution is detailed and well presented. The response was given a rating of "5/5" by the student who originally posted the question.
Solution Preview
(1) The system of inequalities is
x>=6
y>=5
21x+42y<=546 or simplified as x+2y<=26
(2) The objective function is f(x,y)=10000x+18000y ...
Purchase this Solution
Free BrainMass Quizzes
Probability Quiz
Some questions on probability
Know Your Linear Equations
Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.
Solving quadratic inequalities
This quiz test you on how well you are familiar with solving quadratic inequalities.
Exponential Expressions
In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.
Geometry - Real Life Application Problems
Understanding of how geometry applies to in real-world contexts