# How to add dual variables to the Optimization Problem defined using optidef

I have the following code,

\begin{mini*}
{}{\sum_{i}\sum_{j} c_{ij}x_{ij}}{}{}
\end{mini*}


The above code is supposed to output an optimization problem and the \alpha, \beta and \gamma are the dual variables. I want them aligned to the right and maybe even in a different color as shown in the below code.

Could someone let me know if I can do this in optidef or should I use a basic align environment.

I can't see a good reason for not using an align environment, along with \tag instructions.

\documentclass{article}
\usepackage{mathtools} % for "\mathclap" macro
\begin{document}
\begin{align*}
&\sum_{\mathclap{j\in\mathcal{P}}} s_{xj}=1,         \tag{$\alpha$}\\
&\sum_{\mathclap{p\in\mathcal{P}^{k}}} y_{p}^{k}= 1, \tag{$\beta$} \\
&\sum_{\mathclap{p\in\mathcal{P}^{k}}} y_{p}^{k}= 1\quad\forall i=s,t \tag{$\gamma$}