The owner of an apartment building can rent all 60 apartments if she charges $1,800 per month, but she rents one fewer apartment for each $60 increase in monthly rent. (a) Construct a table that gives the revenue generated if she charges $1,800, $1,860, and $1,920. No. of Apts Rent Total Revenue 60 $1,800 $ 59 $1,860 $ 58 $1,920 $ (b) Does her revenue from apartment rentals increase or decrease as she increases the rent from $1,800 to $1,920? (c) Write an equation that gives the revenue R, from apartment rentals if she makes x increases of $60 in the rent.R(x) = (d) Find the rent she should charge to maximize her revenue.$ per month
The owner of an apartment building can rent all 60 apartments if she charges $1,800 per month, but she rents one fewer apartment for each $60 increase in monthly rent. (a) Construct a table that gives the revenue generated if she charges $1,800, $1,860, and $1,920. No. of Apts Rent Total Revenue 60 $1,800 $ 59 $1,860 $ 58 $1,920 $ (b) Does her revenue from apartment rentals increase or decrease as she increases the rent from $1,800 to $1,920? (c) Write an equation that gives the revenue R, from apartment rentals if she makes x increases of $60 in the rent.R(x) = (d) Find the rent she should charge to maximize her revenue.$ per month
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 60 apartments if she charges $1,800 per month, but she rents one fewer apartment for each $60 increase in monthly rent.
(a) Construct a table that gives the revenue generated if she charges $1,800, $1,860, and $1,920.
(b) Does her revenue from apartment rentals increase or decrease as she increases the rent from $1,800 to $1,920?
(c) Write an equation that gives the revenue R, from apartment rentals if she makes x increases of $60 in the rent.
R(x) =
(d) Find the rent she should charge to maximize her revenue.
$ per month
No. of Apts | Rent | Total Revenue | ||||
60 | $1,800 | $ | ||||
59 | $1,860 | $ | ||||
58 | $1,920 | $ |
(b) Does her revenue from apartment rentals increase or decrease as she increases the rent from $1,800 to $1,920?
(c) Write an equation that gives the revenue R, from apartment rentals if she makes x increases of $60 in the rent.
R(x) =
(d) Find the rent she should charge to maximize her revenue.
$ per month
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