<p>How does positive monotonic transformation of production function effect the resulting profit function? 
For example if we had production function $f(x) $ and that gave profit function $\pi(p,w)$. Now if we transform the production function as let's say $f(x)^{\mu}$ where $\mu&gt;0$, how would that effect the profit function? </p>

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2015-10-25T04:06:14.550Z
Is $\mu > 1$ or not?
Kitsune Cavalry
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2015-10-25T04:08:49.643Z
It is >0. But if >1 is simpler, assume that.
Sher Afghan
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2015-10-25T06:44:40.060Z
I think if you finish your answer (see my comment http://economics.stackexchange.com/a/8867/1601 ) to your other question , you will also find this answer.
Giskard
<production-function><producer-theory><profit-maximization>
Monotonic Transformation
Sher Afghan
# Monotonic Transformation

(Asked by: username_0 on 2015-10-24)

How does positive monotonic transformation of production function effect the resulting profit function?
For example if we had production function $f(x) $ and that gave profit function $\pi(p,w)$. Now if we transform the production function as let's say $f(x)^{\mu}$ where $\mu>0$, how would that effect the profit function?

**Tags:** production-function, producer-theory, profit-maximization

> **Comments:**
> **username_1**: Is $\mu > 1$ or not?  
> **username_0**: It is >0. But if >1 is simpler, assume that.  
> **username_2**: I think if you finish your answer (see my comment http://economics.stackexchange.com/a/8867/1601 ) to your other question , you will also find this answer.  

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