# Linear Programming : Maximizing Profit

Matrices have a number of interesting mathematical attributes, such as their dimensions, how they can be derived from linear systems, and the kinds of operations that can be performed on them.

Copy the questions to a Microsoft Word document and use an equation editor to enter the answers. Please answer the following questions about matrices.

Matrix methods can be used to solve linear programming problems. A linear programming problem is used to find an optimal solution, subject to stated restraints.

One typical application is to maximize profits. For example, a beauty parlor provides both highlighting and permanent wave services. It costs $5 in materials and requires 30 minutes to provide highlighting. However, it costs $12 in materials but requires 80 minutes to provide a perm. The store has at most $120 in materials and 800 minutes in labor per day to expend.

How many highlighting services and how many perms can the beauty parlor perform daily?

https://brainmass.com/math/linear-programming/linear-programming-maximizing-profit-130086

#### Solution Summary

A LP problem is solved using matrices. The solution is detailed and well presented. The response was given a rating of "5/5" by the student who originally posted the question.