The owner of an apartment building can rent all 50 apartments if she charges $1,700 per month, but she rents one fewer apartment for each $50 increase in monthly rent.
The owner of an apartment building can rent all 50 apartments if she charges $1,700 per month, but she rents one fewer apartment for each $50 increase in monthly rent.
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter5: Systems Of Equations And Inequalities
Section5.2: Systems Of Linear Equations In Several Variables
Problem 46E
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Question
The owner of an apartment building can rent all 50 apartments if she charges $1,700 per month, but she rents one fewer apartment for each $50 increase in monthly rent.
(a) Construct a table that gives the revenue generated if she charges $1,700, $1,750, and $1,800.
(b) Does her revenue from apartment rentals increase or decrease as she increases the rent from $1,700 to $1,800?
(c) Write an equation that gives the revenue R, from apartment rentals if she makes x increases of $50 in the rent.
R(x) =
(d) Find the rent she should charge to maximize her revenue.
$ per month
| No. of Apts | Rent | Total Revenue | ||||
| 50 | $1,700 | $ | ||||
| 49 | $1,750 | $ | ||||
| 48 | $1,800 | $ |
(b) Does her revenue from apartment rentals increase or decrease as she increases the rent from $1,700 to $1,800?
revenue increasesrevenue decreases
(c) Write an equation that gives the revenue R, from apartment rentals if she makes x increases of $50 in the rent.
R(x) =
(d) Find the rent she should charge to maximize her revenue.
$ per month
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