You own a motel with 30 rooms and have a pricing structure that encourages rentals of rooms in groups. One room rents for $75.00, two for $73.00 each, and in general the group rate per room is found by taking $2 off the base of $75 for each extra room rented.   (a) How much money do you charge per room if a group rent

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 $75.00, two for $73.00 each, and in general the group rate per room is found by taking $2 off the base of $75 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 7 rooms to a group. Calculate the value.
R(7)=$__
Expert Solution
Step 1

a)

Charge on a single room is $75

If two rooms rent, then cost is $73

If three rooms rent then cost is $71

Hence the cost per room is 3 rooms rent is

= $71

Total money = 3 x 71 = $ 213

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