Chapter 3.1, Problem 70PPS

To determine

the amount Levi must sell to make new job offer a better deal.

Answer to Problem 70PPS

$ $8000$ .

Explanation of Solution

Given:

In a new job offer Levi will receive $ $800$ per month plus commission of $2\%$ of the total price car he sells.

In his current job he receives receive $ $1200$ per month plus commission of $1.5\%$ of the total price car he sells.

Calculation:

Let x be the total amount of car he sells.

In his current job, he receives total amount.

  $800+0.02x$

In his new job offer, he will receive total amount.

  $1200+0.015x$

For him to be in profit.

  $1200+0.015x>800+0.02x$

Solving this inequality.

  $\begin{array}{l}800+0.02x>1200+0.015x\\ 0.02x-0.015x>1200-800\\ 0.05x>400\\ x>\frac{400}{0.05}\\ x>8000\end{array}$

Total amount of sales per month that Levi should make to be in profit is $ $8000$ .

So the answer is$ $8000$ .