Complete the table to investigate the ticket price if the goal is to maximize the revenue

Question

The promotion manager of a new band is deciding how much to charge for concert tickets. She has calculated that if tickets are $28 each, then 220 people will come to the concert. For every $1 increase in price, however, 10 fewer people come. Conclusion: The maximum revenue of $ ______ occurs when the ticket price is $ ____.

Ticket Price / Number of People / Total Money from tickets

1.

2.

3.

4.

5.$27 230 ppl $28 x 220 = $6160

6.$28 220 ppl

7.$29

Answer 1

R(x) = (200 - 10x)(28 + x)

Convert to standard form and determine value of x (-b / 2a) that maximizes.