How many CDs he has to sell in order to make a profit?

Question

Tim wants to duplicate and sell his new music on a CD. He spent $1000 for all of the materials and he is going to sell each CD for $12.00 each . Tim wants to make sure he does not lose any money so he is trying to figure out at least how many CDs he has to sell in order to make a profit. 

 

Define the variable :

 

Write an inequality :

 

Solve the inequality :

 

Answer in a sentence :

Answer 1

Hi Sam, let x represent the number of CDs he has to sell to break even.

 

The inequality is: 12x - 1000 ≥ 0

 

Solve:

 

12x - 1000 ≥ 0

 

12x ≥ 1000

 

x ≥ 83.33 rounded, or 84 CDs.

 

Tim has to sell a minimum of 84 CDs to show a profit.

 

Questions?