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I have some maximization where I am interested in the result and the parameters:

$$result=\max\{c^Tx:Ax\leq b\}$$ $$x=arg\max\{c^Tx:Ax\leq b\}$$

Is there a way to combine those? I formulate a pseudo algorithm, so I would like to omit text if possible. Otherwise, I could just refer to the "optimal solution" $x$.

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  • $\begingroup$ Use argmax, then result $ = c^T x$. $\endgroup$
    – LinAlg
    Commented Jan 19, 2017 at 9:24
  • $\begingroup$ The example invites to write it this way but it is simplified and my actual expression is much longer than $c^T x$ $\endgroup$
    – IceFire
    Commented Jan 19, 2017 at 9:25
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    $\begingroup$ Then define an objective function $f$. $\endgroup$
    – LinAlg
    Commented Jan 19, 2017 at 9:27

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