R = revenue , v = number of vacant apartments
R = (90 - v) (500 + 10 v) = 45000 + 400 v - 10 v^2
the max is on the axis of symmetry of the parabola
vmax = -400 / (2 * -10)
looks like 20 vacancies maximizes revenue
An apartment complex in Johannesburg has 90 units. When the monthly rent is $500 per unit, all units are rented. It is believed that for each $10 increase in rent, one apartment unit will become vacant.
The rent of $?rands maximizes the total revenue of the apartment complex ( Hint: The rent is a positive integer).
1 answer
1 answer