Graphing with word problems

Question

You are going to a concert. Your research shows that you can sell 500 tickets at 50$ per ticket. Your research also shows that for each 2$ drop in the ticket price will result in five more tickets being sold. Calculate the price of the tickets that will raise the most amount of sales . Calculate the maximum revenue from the ticket sales.

Answer 1

d represents the number drops

r = (500 + 5d)(50 - 2d)

 

Can you put into vertex form and answer?