Question

Levi has a job offer in which he will receive $800 per month plus a commission of 2% of the total price of the cars that he sells. At his current job, he receives $1200 per month plus a commission of 1.5% of his total sales. How much must he sell per month to make the new job a better deal than his current job?

Answer 1

He needs to sell cars for the total amount of $80000.

Explanation:

You can model his salary as follows

current job salary, y1 = 1200 + 0.015*x

new job salary, y2 = 800 + 0.02*x

where x represents the total price of the cars that he sells.

To make the new job a better deal than his current job he needs that y2>y1

800 + 0.02*x > 1200 + 0.015*x

0.005*x > 400

x > 400/0.005

x > 80000