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 ...
- math - A profit function is derived from the production cost and revenue ...
- math - A profit function is derived from the production cost and revenue ...
- please chech my answer optimization - The manager of a 100-unit apartment ...
- math - The monthly demand function for a product sold by a monopoly is p = 3750...
- math - ent-4-wheels makes a profit of $12 per day for each car rented, and loses...
- Calculus - The monthly demand function for a product sold by a monopoly is p = ...
- Calculus - The monthly demand function for a product sold by a monopoly is p = ...

More Related Questions