A list of equations in a algorithm box

Question

I want to have something like this image. Can someone help me please?

Answer 1

To get started, there are a few things you will need to take into consideration.

The horizontal rules, the aligned equation environment, the roman numerals for the sections, and the section.eqn# format for your equations.

Here are some great resources for all your requirements:

Horizontal rules: Horizontal line spanning the entire document in LaTeX

Aligned equations: Aligning equations with amsmath

Roman numerals for sections: Roman numerals for sections and subsections

Section.eqn# format for equations: Change the type of equation numbering in document class article [duplicate]

I hope this helps!

UPDATE:

As I technically used the answer feature and didn't comment, I was expected to actually give OP a full solution, so here goes!

\documentclass{article}
\usepackage{amsmath}
\usepackage{geometry}
\begin{document}
\noindent\makebox[\linewidth]{\rule{\textwidth}{0.8pt}}
\textbf{Formulation VI} Exercise 1.5 \[-1ex]
\noindent\makebox[\linewidth]{\rule{\textwidth}{0.4pt}}
\begin{align}
    & & & & \min \ \sum_{o \in O}\sum_{c \in C}d_{co}x_{co} \tag{VI.1} \
    & & \text{s.t.} & & \qquad \sum_{o \in O} x_{co} & \leq 9 & {} & \forall c \in C \tag{VI.2} \
    & & & & \sum_{o \in O}x_{co}     & \geq 5                 & {} & \forall c \in C \tag{VI.3} \
    & & & & \sum_{o \in O}m_o x_{co} & \geq 1                 & {} & \forall c \in C \tag{VI.4} \
    & & & & \sum_{c \in C}x_{co}     & =  1                   & {} & \forall o \in O \tag{VI.5} \
    & & & & x_{co}                   & \in \left{0,1\right} & {} & \forall c \in C,\ \forall o \in O \tag{VI.6}
\end{align}
\noindent\makebox[\linewidth]{\rule{\textwidth}{0.8pt}}
\end{document}