## SAT Math Tutorial

*SAT algebra *

#### Intro

This is an SAT math question looking at cost, income and profit.

#### Sample Problem

A company’s manager estimated that the cost C, in dollars, of producing n items is C = 7n + 350. The company sells each item for $12. The company makes a profit when total income from selling a quantity of items is greater than the total cost of producing that quantity of items. Which of the following inequalities gives all possible values of n for which the manager estimates that the company will make a profit?

#### Solution

The cost of making n products is given by:

C = 7n + 350

Since the company sells each product for $12, the company’s income for n products is:

I = 12n

The company makes a profit when the total income is greater than the cost, so we need:

I > C

12n > 7n + 350

12n – 7n > 350

5n > 350

n > 70

So the company makes a profit if it sells more than 70 items (n > 70).

# About The Author

Math/Economics Expert And SAT Math Tutor |

My name is Eleana. I am currently a 4th year student at McMaster University. I am majoring in Math and Statistics with a minor in Economics. I have been tutoring for several years and speak english fluently. I am offering math, statistics or economics tutoring for highschool or university studen... |

## Leave a Comment