he owner of a condominium complex has 45 units all of which will be occupied if the rent charged is $600 per month. The owner estimates that for every $20 increase in rent, one of the units will become vacant. The owner sets aside $60 per month from each of the occupied units to establish a repair fund. What rent should be charged per month in order to maximize the owner’s profit if there are no other expenses? What is the owner’s maximum monthly profit? How many units are occupied?

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 a condominium complex has 45 units all of which will be occupied if the rent charged is $600
per month. The owner estimates that for every $20 increase in rent, one of the units will become vacant.
The owner sets aside $60 per month from each of the occupied units to establish a repair fund. What rent
should be charged per month in order to maximize the owner’s profit if there are no other expenses? What
is the owner’s maximum monthly profit? How many units are occupied?

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