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Math Help - property of cost function

  1. #1
    Newbie
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    Apr 2010
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    property of cost function

    Please, help me.

    I consider a real valued fanction C(q) such that

    C(q) is continious, increasing, concave on the closed interval [0,Q] in R1, C(0)=0, C'(0)=0.

    Does it imply that
    C'(q)/C''(q)->0 when q->0 ?

    Thanks in advance
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  2. #2
    Junior Member
    Joined
    May 2010
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    Yes. The condition that the curve is concave over the entire interval means c''(0) is finite. Thus c'(0)/c''(0) = 0.
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