Lynbrook West, an apartment complex, has 100 two-bedroom units. The monthly profit (in dollars) realized from renting out x apartments is given by the following function.
P(x) = -10 x^2 + 1780 x - 54,000
To maximize the monthly rental profit, how many units should be rented out?
What is the maximum monthly profit realizable?
Precalculus - Steve, Tuesday, June 18, 2013 at 6:01pm
You know that for the parabola
y = ax^2 + bx + c
the vertex (maximum in this case) is at x = -b/2a
So, plug and chug.