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 + 3,250n - 9,000
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 )?

Answer 1

Part A. Simply set the function = 0 solve for n. These zeros represent the ticket prices (n) that will give the concert a profit of zero dollars.

Answer 2

This might help you out with completing the square of a function:
http://www.purplemath.com/modules/sqrquad.htm

Answer 3

how would i do that?

Answer 4

W-I-M-M is correct: he suggests you set the given expression = to 0 and use whatever method you want to solve the resulting quadratic equation. Think about how you might do that. make some proposals!

Answer 5

In other words, set P(n ) = -250n2 + 3,250n - 9,000 equal to zero and solve for x.

Answer 6

\[-250 n^2+3250 n-9000=-250 (n-9) (n-4) \]

Answer 7

A plot is attached.