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Math Help - About derivatives, is my work correct? thank you.

  1. #1
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    About derivatives, is my work correct? thank you.

    If the marginal revenue (in dollars per unit) for a month is given by
    MR =0.006x +, find the total revenue from the sale of 75 units.
    m'(r) = -0.006x +36

    m(r) = . x(36-0.03x)
    m(75) = 75(36-0.03(75)= 2683.125
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  2. #2
    Senior Member apcalculus's Avatar
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    Quote Originally Posted by jhonwashington View Post
    If the marginal revenue (in dollars per unit) for a month is given by
    MR =0.006x +, find the total revenue from the sale of 75 units.
    m'(r) = -0.006x +36

    m(r) = . x(36-0.03x)
    m(75) = 75(36-0.03(75)= 2683.125
    You need to take find the antiderivative of MR, evaluate it at 0, then evaluate it at 75, the difference between R(75) and R(0) is your answer. Note that R(0) is zero.
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