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Math Help - function price-demand

  1. #1
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    function price-demand

    price-demand function is this:

    = 200 - x/50

    now the revenue equals (200 - x/50)x

    now i have a problem with the multiplication of x.

    of course, it is 200x, but then?

    200x - (x/50 * x ??)

    how can i get rid of the fraction?
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  2. #2
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    Quote Originally Posted by makaveli89 View Post
    price-demand function is this:

    = 200 - x/50

    now the revenue equals (200 - x/50)x

    now i have a problem with the multiplication of x.

    of course, it is 200x, but then?

    200x - (x/50 * x ??)

    how can i get rid of the fraction?
    It is 200x - \frac{x^2}{50}

    You could multiply everything by 50 if you wanted to clear the fraction. If we say that the price demand function is f(x):

    50f(x) = 10^4x - x^2 = x(10^4-x)
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  3. #3
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    cool thx. what will be f'(x)?

    200- 2x/50 ??
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  4. #4
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    Quote Originally Posted by makaveli89 View Post
    cool thx. what will be f'(x)?

    200- 2x/50 ??
    Yes but normally you'd cancel 2x/50 to x/25
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