Asked by Britney

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)=-10x^2+1700x-43,000

To maximize the monthly rental profit, how many units should be rented out?

? units

What is the maximum monthly profit realizable?

$ ?

Answered by Jennifer
dp/dx = 0,
or

-20x + 1700 = 0

Solve this for x for part 1, then plug this value of x into p(x) for the answer to part 2
Answered by Britney
ok I got 85 for part a and that was right. But i plugged it into part B and got 115,250....but that was wrong. What am I doing wrong?