Renting motel rooms: You own a motel with 30 rooms and have a pricing structure that encourages rentals of rooms in groups. One room rents for $85, two rent for $83 each, and in general the group...

Renting motel rooms: You own a motel with 30 rooms and have a pricing structure that encourages rentals of rooms in groups. One room rents for $85, two rent for $83 each, and in general the group rateper room is found by taking $2 off the base of $85 for each extra room rented.

a. How much money do you take in if a family rents two rooms?

b. Use a formula to give the rate you charge for each room if you rent n rooms to an organization.

c. Find a formula for a function R = R(n) that gives the revenue from renting n rooms to a convention host.

d. What is the most money you can make from rental to a single group? How many rooms do you rent?