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