Homework Help: Math( help please ! )

Posted by Melissa on Monday, October 17, 2011 at 10:31pm.

The profit p(x) of a cosmetics 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( help please ! ) - Reiny, Tuesday, October 18, 2011 at 12:00am
p(x) = -5x^2 + 400x - 2550

p'(x) = -10x + 400
= 0 for a max of p(x)
10x = 400
x = 40 -----> answer for b)

p(40) = -5(40^2) + 400(40) - 2550 = 5450 -- > a)

for c)
solve
4000 = -5x^2 + 400x - 2550

Answer this Question

Related Questions

Math( help please ! ) - The profit p(x) of a cosmetics company , in thousands of...
Math - The profit p(x) of a perfume company , in thousands of dollars,is given ...
math - Billy Jeans' profit is given by the equation y=2.7-.0000015(x-2550)^2...
Math - A manufacture of a certain commodity has estimated that her profit in ...
Algebra - Annual profit in thousands of dollars is given by the function, P(x...
math - the profits of Mr/ Lucky's company can be represented by the equation...
algebra - Annual profit in thousands of dollars is given by the function,p(x)=...
Math - Please help ASAP! - The revenue in dollars of a company selling its ...
algebra - Annual profit in thousands of dollars is given by the function, P(x...
Math - A Company makes and sells sailboats. The company's cost function in ...

For Further Reading

First Name:
School Subject:
Answer: