tropicaia
  • tropicaia
The following function represents the profit P(n), in dollars, that a concert promoter makes by selling tickets for n dollars each: P(n) = -250n2 + 2,500n - 4,000 Part A: What are the zeroes of the above function, and what do they represent? Show your work. (4 points) Part B: Find the maximum profit by completing the square of the function P(n). Show the steps of your work. (4 points) Part C: What is the axis of symmetry of the function P(n)? (2 points)
Mathematics
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SOLVED
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chestercat
  • chestercat
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tropicaia
  • tropicaia
@zepdrix Hi, I saw your reply to this question a year ago and it wa really helpful, but I had trouble understanding it. Care to help again?
tropicaia
  • tropicaia
Oh, I already have part A. I was confused on Part B
anonymous
  • anonymous
\( P(n) = -250n^2 + 2,500n - 4,000 \) This is a parabola. You need to factor \( -250n^2 + 2,500n - 4,000 \) and solve for n to find the zeros. for part A.

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tropicaia
  • tropicaia
I got n = 8 and n = 2
tropicaia
  • tropicaia
for Part A
anonymous
  • anonymous
Here is a good link on completing the square https://www.mathsisfun.com/algebra/completing-square.html
tropicaia
  • tropicaia
I like this site, thank you!
anonymous
  • anonymous
YW, it also shows you on that page how to get the vertex for axis of symmetry for Part C
zepdrix
  • zepdrix
Ooo ya I think I remember this one +_+ You get it figured out already Tropicana Banana?
tropicaia
  • tropicaia
Yes thanks.

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