number of $6 increases ---- n
right now:
number rented = 80
rent = 180
after increase:
rent = 180+6n
number rented = 80-n
revenue = (180+6n)(80-n) - 18(80-n)
=14400 + 300n - 6n^2 - 1440 + 18n
= -6n^2 + 318n + 12960
= -6(n^2 - 53n - 2160)
d(revenue)/dn = -6(2n - 53) = 0 for a max of revenue
n = 53/2
.....was expecting a whole number, check if typed correctly.
A real estate manages 80 apartment units. When the rent of each unit is $180 per month, all units are occupied. However, for each $6 increase in rent, one of the units becomes vacant. Each occupied unit requires an average of $18 per month for service and repairs. What rent should be charged to realize the most profit?
2 answers
Yes the question is typed correctly but thank you!