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Math Help - optimization problem

  1. #1
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    optimization problem

    not quite understanding this question
    ------------------------------------
    find 2 positive numbers that satisfy the given requirements
    1.) the sum of the first number and twice the second number is 108 and the product if a maximum


    well....to me it seems as if i will be working with this equation
    a+2b=108

    a = 108-2b
    put equation into all one term... i picked a

    so.. 108-2b+2b=108
    turns this into
    108=108
    rofl and no im lost how am i suppose to work this?
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  2. #2
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    Quote Originally Posted by nuclear123 View Post
    not quite understanding this question
    ------------------------------------
    find 2 positive numbers that satisfy the given requirements
    1.) the sum of the first number and twice the second number is 108 and the product if a maximum
    a+2b = 108

    let P be the product ...

    P = ab = (108-2b)b

    find the value of b that maximizes P
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