Asked by help

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.

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?

Answers

Answered by oobleck
revenue = price * #tickets, so
R(x) = (142+3x)(1918-21x)
Now just find the vertex of that parabola, and use that to get the #tickets.
Answered by help
what did you get for the # of tickets because for some reason when I keep entering my answer it keeps telling me its wrong

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