I have the following maximization problem max h m 1 + 10 ( h ) 1 / 4 + h + m 2 − 2 ( h ) 1 / 4 + m 3 − ( h ) 1 / 4 where m 1 , m 2 , m 3 are three fixed values. The FOC for a maximum is 10 4 h − 3 / 4 + 1 − 1 2 h − 3 / 4 − 1 4 h − 3 / 4 = 0Rearranging 7 4 ⋅ h − 3 / 4 = − 1Well, now I have no idea... how can I go on? How can I say which level of h maximizes my problem? Of course, I don't want you to solve, but I just would like to get a hint! Thank you in advance!

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I have the following maximization problem      max    h        m    1    +  10  (  h      )          1              /            4        +  h  +      m    2    −  2  (  h      )          1              /            4        +      m    3    −  (  h      )          1              /            4      where       m    1    ,      m    2    ,      m    3   are three fixed values. The FOC for a maximum is            10      4            h          −      3              /            4        +  1  −            1      2            h          −      3              /            4        −            1      4            h          −      3              /            4        =  0Rearranging            7      4        ⋅      h          −      3              /            4        =  −  1Well, now I have no idea... how can I go on? How can I say which level of   h maximizes my problem? Of course, I don&#039;t want you to solve, but I just would like to get a hint! Thank you in advance!

razdiralem · Accepted Answer

Are you saying you want help solving  (  7      /    4  )      h          −      3              /            4        =  −  1If so, multiply by 4/7, take reciprocals on both sides, raise both sides to the power 4, and take the cube root on both sides.

I have the following maximization problem <munder> <mo movablelimits="true" form="prefix

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