Purchase Solution

Linear Programming: Profit Maximization

Not what you're looking for?

Ask Custom Question

You are a woodworker who makes tables and chairs.
Each table requires $80 in materials, 4 hrs of labor and earns $70 profit. Each chair requires $80 in materials, 8 hrs of labor, and earns $120 profit. This week you have $960 cash for materials, and 64hrs of labor available. What should you plan to build to maximize your profit?

Purchase this Solution

Solution Summary

The maximm profit is calculated using linear programming.

Solution Preview

Please see the attached file for the complete solution.
Thanks for using BrainMass.

Suppose we need to build tables and chairs.
From the condition, each table earns $70 profit and each chair earns $120 profit. So we get the object function:
From the condition, each table requires $80 in material and each chair requires $80 in material and you have $960 in material. So we ...

Purchase this Solution

Free BrainMass Quizzes
Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

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.

Probability Quiz

Some questions on probability

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.