• Jul 26th 2013, 03:47 PM
Perezjay
The profit from a grove of orange trees is given by x(200-x) dollars, where x is the number of orange trees per acre. How many trees per acre will max the profit?

I'm not sure how to work this out 😕
• Jul 26th 2013, 04:13 PM
topsquark
Quote:

Originally Posted by Perezjay
The profit from a grove of orange trees is given by x(200-x) dollars, where x is the number of orange trees per acre. How many trees per acre will max the profit?

I'm not sure how to work this out 

Calculus approach:
Find the derivative...that will tell you where your local max's and min's are.

Non-Calculus approach:
$\text{Profit } = x(200 - x) = 200x - x^2$
This is an inverted parabola. How do you find the maximum of a parabola?

-Dan