let x represent the number of $1 reductions in the price of the tickets. Write an equation for the price of each tickets P(x)

Question

You are working fora  concert promoter and she has assigned you the task of setting the ticket prices. She knows from experience that you will sell 3000 tickets if you price them at 40 dollars each. She also knows that you will sell 100 more tickets for every dollar that you reduce the ticket price. Your job is to determine the ticket price that will maximize the revenue for the concert

Answer 1

r represents the revenue

d represents each dollar decrase

r = (3000 + 100d)(40 - d)

 

Can you put into standard form and determine point of maximum?