You own a motel with 30 rooms and have a pricing structure that encourages rentals of rooms in groups. One room rents for $95.00, two for $93.00 each, and in general the group rate per room is found by taking $2 off the base of $95 for each extra room rented. (a) How much money do you charge per room if a group rents 3 rooms? $  What is the total amount of money you take in? $  (b) Use a formula to give the rate you charge for each room if you rent n rooms to an organization.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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You own a motel with 30 rooms and have a pricing structure that encourages rentals of rooms in groups. One room rents for $95.00, two for $93.00 each, and in general the group rate per room is found by taking $2 off the base of $95 for each extra room rented.

(a) How much money do you charge per room if a group rents 3 rooms?


What is the total amount of money you take in?


(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 total revenue from renting n rooms to a convention host.
R(n) = 
 
 
 


(d) Use functional notation to show the total revenue from renting a block of 9 rooms to a group. Calculate the value.
R(  ) = $ 
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