Question

The CEO of a company that sells car stereos has determined the profit of selling x number of stereos to be: P(x) = –.04x2 + 1000x – 16,500 How much profit should the company expect from selling 12,500 stereos?

Answer 1

6233500

Explanation:

We are given that CEO of a company that sells car stereos has determined the profit x number of stereos.

The profit of selling x number of stereos is given by

`P(x)=-0.04x^2=100x-16500`

We have to find the value of profit when the company selling 12500 stereos.

Substitute the value of x=12500

Then, we get

`P(12500)=-.04(12500)^2+1000(12500)-16500`

`P(12500)=-6250000+12500000-16500=-6266500+12500000`

`P(12500)=6233500`

Hence, the company should expect profit 6233500 from selling 12500 stereos.