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)

Question

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)

tropicaia · Answer

@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 · Answer

Oh, I already have part A. I was confused on Part B

anonymous · Answer

$  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.

tropicaia · Answer

I got n = 8 and n = 2

tropicaia · Answer

for Part A

anonymous · Answer

Here is a good link on completing the square https://www.mathsisfun.com/algebra/completing-square.html

tropicaia · Answer

I like this site, thank you!

anonymous · Answer

YW, it also shows you on that page how to get the vertex for axis of symmetry for Part C

zepdrix · Answer

Ooo ya I think I remember this one +_+
 You get it figured out already Tropicana Banana?

tropicaia · Answer

Yes thanks.