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LaTeX snippet for constructing an optimization problem

\begin{equation*}
\begin{aligned}
    & \underset{\beta_0,\beta}{\text{maximize}} 
    & &  M  \\
    & \text{subject to} 
    & &  \dfrac{y_i(\beta^Tx_i+\beta_0)}{\lVert \beta \rVert} \geq M,  \; \forall i=1,2,\dots,N.
\end{aligned}
\end{equation*}

The output looks like the following:

\[\displaystyle \begin{equation} \begin{aligned} & \underset{\beta_0,\beta}{\text{maximize}} & & M \\\\ & \text{subject to} & & \dfrac{y_i(\beta^Tx_i+\beta_0)}{\lVert \beta \rVert} \geq M, \; \forall i=1,2,\dots,N. \end{aligned} \end{equation}\]

Note that directly using align environment may introduce large space between columns. The positions of multiple ampersand sign & are to accommodate the left/right alternating alignments.

Ref:
https://jcnts.wordpress.com/2009/11/11/formatting-optimization-problems-with-latex/