SOLUTION: Can someone help me solve this problem? I am having a hard time with it, can you explain the steps? Assume the profit earned by an artist in any given year is governed by the f

Question 290378: Can someone help me solve this problem? I am having a hard time with it, can you explain the steps?
Assume the profit earned by an artist in any given year is governed by the function P(n) = -2n^2 + 80n � 30 where n represents the number of paintings sold and P (in thousands of dollars) represents the profit. How many paintings should be sold to create a maximum profit? What is the maximum profit?
Thank you, Cynthia :)

Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
You want the vertex.
The x component or n component will be the number of paints with maximum profit P(n)
what is the x component of the vertex -b/2a
-80/2*-2=80/4=20
plug 20 in for n and solve and that will give you the max of the parabola which should come out to 770
Everyone here wants help.
I generally avoid the problems with begging.

RELATED QUESTIONS
Can you please help me with this problem I am having a very hard time with it. The... (answered by Earlsdon)

I am working on homework and am having a hard time figuring this guy out. Can someone... (answered by jsmallt9)

I am having a hard time with this problem. Can someone help me please with the steps on... (answered by checkley77)

Hi, I am really having a hard time analyzing this one, I hope someone could help me on... (answered by Earlsdon,venugopalramana)

Solve the equation by completing the square: x^2 + 8x = 14 can someone help me please... (answered by josmiceli)

I am having a hard time understanding how to write the slope-intercept form to... (answered by Tatiana_Stebko)

I am having a hard time with this problem...can someone please help me out. I am not... (answered by stanbon)

Having a really hard time with this questions. It asks to solve 100(1.02)^x/4=200. Could... (answered by ankor@dixie-net.com)

I am having a hard time with this one question that I have to do for homework, so someone (answered by Alan3354)