This is an example Linear programming model of ODMO program.
$$
\begin{align}
\underset{\boldsymbol{x}\in \mathbb{R}^{2}}{\min} & \quad ||\boldsymbol{x}||_1 \\
\text{s.t.} & \quad \boldsymbol{G} \boldsymbol{x} \leq \boldsymbol{h} \\
& \quad \boldsymbol{A} \boldsymbol{x} = \boldsymbol{b} \\
& \quad \boldsymbol{A}, \boldsymbol{G} \in \mathbb{R}^{2\times2}, \boldsymbol{h}, \boldsymbol{b}\in \mathbb{R}^{2}
\end{align}
$$
[Set] appropriate values below to describe your problem.