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.
Part B: Find the maximum profit by completing the square of the function P(n). Show the steps of your work.

Part C: What is the axis of symmetry of the function P(n)?
@welshfella

Answer 1

For part a I think the 0's are 2 and 8

Answer 2

B and C are my problem

Answer 3

yes thats right

Answer 4

I got to be done by 1:30 and its 1:04

Answer 5

And I have one more after this

Answer 6

well i have to go to Welsh class so i have about 10 minutes

Answer 7

see if i remembet this

complete the square

first take - 250 out

-250(n^2 - 10n + 16)

= -250 [ (n - 5)^2 -25 + 16]
= -250 [(n-5)^2 - 9]

the maximum value of this is -9*-250 = 2250

Answer 8

thats the maxm profit

Answer 9

What is C

Answer 10

axis of symmetry is n = 5

Answer 11

graph will look something like