Posted by **Britney** on Wednesday, November 7, 2012 at 11:21am.

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?

$ ?

- math -
**Jennifer**, Wednesday, November 7, 2012 at 3:59pm
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

- math -
**Britney**, Wednesday, November 7, 2012 at 4:56pm
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?

## Answer This Question

## Related Questions

- Precalculus - Lynbrook West, an apartment complex, has 100 two-bedroom units. ...
- Calculus - Lynbrook West, an apartment complex, has 100 two-bedroom units. The ...
- Math Please Help!! - Lynbrook West, an apartment complex, has 100 two-bedroom ...
- Stats - You want to rent an unfurnished one-bedroom apartment in Boston next ...
- Probability & Statistics - You want to rent an unfurnished one-bedroom apartment...
- New age Math - A building contractor is planning to build an apartment complex ...
- Math-Equations - A building contractor is planning to build an apartment complex...
- math - The monthly demand function for a product sold by a monopoly is p = 3750...
- calculus - A lamp has a cost function of C(x) = 2500 + 10x, where x is the ...
- Calculus - The monthly demand function for a product sold by a monopoly is p = ...

More Related Questions