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. No. of Apts 50 49 48 Rent Total Revenue $1,700 $ $1,750 $ $1,800 $ (b) Does her revenue from apartment rentals increase or decrease as she increases the rent from $1,700 to $1,800? revenue increases O revenue 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

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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.
No. of Apts
50
49
48
Rent Total Revenue
$1,700 $
$1,750 $
$1,800 $
(b) Does her revenue from apartment rentals increase or decrease as she increases the rent from $1,700 to $1,800?
O revenue increases
O revenue 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
Transcribed Image Text: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. No. of Apts 50 49 48 Rent Total Revenue $1,700 $ $1,750 $ $1,800 $ (b) Does her revenue from apartment rentals increase or decrease as she increases the rent from $1,700 to $1,800? O revenue increases O revenue 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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