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Math Help - Area Between Two Curves, Again

  1. #1
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    Area Between Two Curves, Again

    Can someone tell me where I messed up at? The answer is $7052.48

    Find the producer's surplus if the supply function for computers is given by S(q)=5q^{3/2}+q+61 and supply and demand are in equalibrium at q=22

    Here is my work.

    S(22)= 5(22)^{3/2}+22+61

     =598.9457336

    \int_{0}^ {22} [598.9457336-(5q^{3/2}+q+61)]dq

    \int_{0}^{22} (537.9457336-5q^{3/2}-q)dq

    =537.9457336q-2q^{5/2}-q^2 \mid_{0}^{22}

    =11834.80614-4540.322456+484

    =7778.48

    The reason I didn't round my calculations is because it said not to. As you can see my anwer is far from the right one of $7052.48....someone please help
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  2. #2
    Member
    Joined
    Mar 2008
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    When you integrate your last term, it should be (q^2)/2...you just forgot to divide the last term by 2 after you integrated it.

    Hope this helps.
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