Posted by Peter on .
The manager of a 100 unit apartment complex knows from experience that all units will be occupied if the rent is $500 per month. A market survey suggests that, on average, one additional unit will remain vacant for each $10 increase in rent. What rent should the manager charge to maximize revenue?

Calculus 
bobpursley,
Income= rent(1001/10*(rent500)
d I/drent= (100rent/10+50)rent(1/10)=0
150=2/10 rent
rent= 750
check that 
Calculus 
bobpursley,
checking : assume 750 rent, 760 rent, and 740 rent
rent units income
750 75 56,250
740 76 56,240
760 74 56240
calculus is awesome