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Math Help - Minimize function

  1. #1
    Super Member Deadstar's Avatar
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    Minimize function

    Not sure if this is the right section for this but...

    Minimize f(x_1, x_2) = -x_1 + x_2 subject to the following constraints,
    0 \leq x_1 \leq a, 0 \leq x_2 \leq 1 and x_2 \geq x_1^2.
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  2. #2
    Senior Member
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    I'm sure I've misinterpreted the problem, but...

    To minimize this don't you want x2 as small as possible? If so, then x2=x1^2. Then you're minimizing x^2-x, which is at x=1/2. If your bounds don't permit this, don't you just need to check the boundary values and x=1/2?
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