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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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
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