Renting paddleboats: An enterprise rents out paddleboats for all-day use on a lake. The owner knows that he can rent out all 27 of his paddleboats if he charges $1 for each rental. He also knows that...

Renting paddleboats: An enterprise rents out paddleboats for all-day use on a lake. The owner knows that he can rent out all 27 of his paddleboats if he charges $1 for each rental. He also knows that he can rent out only 26 if he charges $2 for each rental and that, in general, there will be 1 less paddleboat rental for each extra dollar he charges per rental.

a. What would the owner’s total revenue be if he charged $3 for each paddleboat rental?

b. Use a formula to express the number of rentals as a function of the amount charged for each rental.

c. Use a formula to express the total revenue as a function of the amount charged for each rental.

d. How much should the owner charge to get the largest total revenue?