Monday

July 28, 2014

July 28, 2014

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

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 9:58amThe 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

**Related Questions**

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( help please ! ) - The profit p(x) of a cosmetics company , in thousands of...

math - Billy Jeans' profit is given by the equation y=2.7-.0000015(x-2550)^2, ...

math - a company makes and sells sailboats. The company's cost function in ...

Calc Help - The daily sales, S, in thousands of dollars, is a function of the ...

Calculus - The relationship between the amount of money x that Cannon Precision ...

math (5) - The monthly profit (in dollars) of Bond and Barker Department Store ...

math (5) - The monthly profit (in dollars) of Bond and Barker Department Store ...

Math - A manufacture of a certain commodity has estimated that her profit in ...