BoxedNGone.com truck rentals calculates that its price function is

p(x) = 120 − 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.

Thank you for the opportunity to help you with your question!

Revenue = price * quantity of trucks

Revenue R= x(120 − 2x) = 120 - 2x^2

Max revenue R' =0

R'=120-4x

0=120-4x

120/4 = x

number of trucks x= 30

Price = 120 - 2x = 120-60 = 60

Max Revenue = 60 *30 = 1800

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