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Optimization-Arithmetic-Geometric Mean Inequality

  1. Feb 16, 2009 #1
    1. The problem statement, all variables and given/known data
    Use the Arithmetic-Geometric Mean Inequality to minimize 3x+4y+12z to xyz=1 and x,y,z>0.

    2. Relevant equations



    3. The attempt at a solution
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Feb 17, 2009 #2

    HallsofIvy

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    Staff Emeritus
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    What is the "Arithmetic-Geometric Mean Inequality"?

    And does "minimize 3x+4y+12z to xyz=1" mean to minimize 3x+ 4y+ 12z with the condition that xyz= 1?
     
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