Rates of Change in Applied Contexts

AP Calculus AB· difficulty 2/5

If C(100)=5000C(100) = 5000 and C(100)=12C'(100) = 12, the cost of producing the 101st unit is approximately

  • A

    50125012

  • B

    1212

  • C

    50005000

  • D

    \5012butthemarginalcost( — but the marginal cost (12$) approximates the additional cost

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Explanation

Marginal cost C(100)=12C'(100) = 12 approximates the cost of unit 101.

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