Optimization

AP Calculus AB· difficulty 3/5

Two positive numbers have product 3636. Their sum is minimized when

  • A

    44 and 99

  • B

    66 and 66

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  • C

    33 and 1212

  • D

    11 and 3636

Explanation

AM-GM or calculus: minimum sum at x=y=36=6x = y = \sqrt{36} = 6.

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