Optimization

AP Calculus AB· difficulty 3/5

Two positive numbers sum to 1010. Their product is maximized when each is

  • A

    22 and 88

  • B

    11 and 99

  • C

    33 and 77

  • D

    55 and 55

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Explanation

P=x(10x)P = x(10 - x). Max at x=5x = 5.

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