A certain band charges $142 per ticket for concerts when 1918 people attend. The band members realize that for every $3 increase in the ticket price 21 fewer people will attend the concert. Find a revenue function R in terms of x where x represents the number of additional $3 increases in the ticket price.

2 answers

R = (1918 - 21 x) (142 + 3 x)
two other questions for this problem is:
What should the ticket price be for the band to maximize its revenue?
How many people will attend the concert when the revenue is maximized?