Posted by **Jezebel** on Tuesday, October 18, 2011 at 9:21pm.

The profit p(x) of a perfume company , in thousands of dollars,is given by p(x)=-5x^2+400x-2550, where x is the amount spent on advertising , in thousands of dollars

a) determine the max profit the company can make

b)Determine the amount spent on advertising that will result in the max profit

c)What amount must be spent on advertising to obtain a profit of at least $4 000 000

- Math -
**Steve**, Wednesday, October 19, 2011 at 9:58am
The vertex of a parabola y=ax^{2} + bx + c occurs at x = -b/2a

So, when x = 40, we have p(x) = 5450

Duh. We just said that x = 40. How many dollars does that represent?

Now we want -5x^{2}+400x-2550 >= 4000

Think of the parabola. It opens downward. So, the portion above the line y=4000 is just a small cap, where

22.97 <= x <= 57.03

## Answer This Question

## Related Questions

- Math( help please ! ) - The profit p(x) of a cosmetics company , in thousands of...
- Math( help please ! ) - The profit p(x) of a cosmetics company , in thousands of...
- math - The profit p(x) of a cosmetics company in thousands of dollars is given ...
- Math Problem (please help) - A company that manufactures bicycles estimates that...
- math - a company makes and sells sailboats. The company's cost function in ...
- Math - the Ruby Snow Company makes custom snowboards. the company's profit can ...
- Math - the Ruby Snow Company makes custom snowboards. the company's profit can ...
- math - Billy Jeans' profit is given by the equation y=2.7-.0000015(x-2550)^2, ...
- Business Calculus - A company has operating costs of $2000 per thousand items ...
- math - 9. A company that manufactures a specialty line of high performance ...

More Related Questions