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
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
Section: Chapter Questions
Problem 1RQ
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Question
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 $75 for each extra room rented.
(a) How much money do you charge per room if a group rents 3 rooms?
What is the total amount of money you take in?
(b) Use a formula to give the rate you charge for each room if you rent n rooms to an organization.
(c) Find a formula for a function R = R(n) that gives the total revenue from renting n rooms to a convention host. R(n) =
(d) Use functional notation to show the total revenue from renting a block of 7 rooms to a group. Calculate the value.
R(7)=$__
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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