# Monotonic Transformation

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?

• Is $\mu > 1$ or not? – Kitsune Cavalry Oct 25 '15 at 4:06
• It is >0. But if >1 is simpler, assume that. – Sher Afghan Oct 25 '15 at 4:08
• I think if you finish your answer (see my comment economics.stackexchange.com/a/8867/1601 ) to your other question , you will also find this answer. – Giskard Oct 25 '15 at 6:44