BoxedNGone truck rentals calculates that its price function is p(x)=160-2x,where p is the price (in dollars) at which exactly x trucks will be rented per day. Find the number of trucks that BoxedNGone should rent and the price it should charge to maximize revenue. Also find the maximum revenue.

quantity=?
price=?
revenue=?

1 answer

revenue = price * quantity, so

r = x(160-2x) = 160x - 2x^2

max revenue when r'=0, or x = 40

So, just plug that in as needed.