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Math Help - Business math

  1. #1
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    Business math

    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 😕
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  2. #2
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    Re: Business math

    Quote Originally Posted by Perezjay View Post
    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
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