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Math Help - integral ???

  1. #1
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    integral ???

    1. A company estimates that the marginal cost (in dollars per item) of producing x items is 1.93 - 0.002x. If the cost of producing one item is 558, find the cost of producing 100 items.

    2. Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to four decimal places.


    3. Consider the given integral.
    (a) Find an approximation to the integral G using a Riemann sum with right endpoints and n = 8.

    (b) If f is integrable on [a, b], the following equation is correct.
    Use this to evaluate the integral G.

    4.Evaluate the integral.
    5. Evaluate the integral.
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by calchurtsmybrain View Post
    1. A company estimates that the marginal cost (in dollars per item) of producing x items is 1.93 - 0.002x. If the cost of producing one item is 558, find the cost of producing 100 items.
    The additional cost c(m) of the m-th item produced ( m>1) is 1.93-0.002 m.

    Thus the total cost of producing m items is:

    C(m) = \sum_{i=1}^m c(i) = c(1) + \sum_{i=2}^m (1.93-0.002 i)

    You are given that c(1)=558.

    RonL
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