Aus der Angebotsfunktion
$y = \left( \frac{r\cdot p}{ C^*} \right)^{{r\over 1+r}}$
und den bedingten Faktornachfragefunktionen
\begin{equation}\label{CES_44}x_1
= \left(\frac{w_1}{a_1}\right)^\frac{1}{\rho-1} K^{-\frac{1}{\rho}} \cdot y^{1/r}
\end{equation}
\begin{equation}\label{CES_45}x_2
= \left(\frac{w_2}{a_2}\right)^\frac{1}{\rho-1} K^{-\frac{1}{\rho}} \cdot y^{1/r}
\end{equation}
ergibt sich die Faktornachfragefunktion
\begin{equation}\label{CES_46}x_1
= \left(\frac{w_1}{a_1}\right)^\frac{1}{\rho-1}
K^{-\frac{1}{\rho}} \cdot \left( \frac{r\cdot p}{ C^*}
\right)^{{1\over 1+r}} =
\left(\frac{w_1}{a_1}\right)^\frac{1}{\rho-1} K^{-\frac{1}{\rho}}
\cdot \left( {r\cdot p \over K^\frac{\rho-1}{ \rho}}
\right)^{{1\over 1+r}}
\end{equation}
\begin{equation}\label{CES_47}x_2
= \left(\frac{w_2}{a_2}\right)^\frac{1}{\rho-1}
K^{-\frac{1}{\rho}} \cdot \left( \frac{r\cdot p}{ C^*}
\right)^{{1\over 1+r}} =
\left(\frac{w_2}{a_2}\right)^\frac{1}{\rho-1} K^{-\frac{1}{\rho}}
\cdot \left( {r\cdot p \over K^\frac{\rho-1}{ \rho}}
\right)^{{1\over 1+r}}
\end{equation}