This is an example programming model of ODMO program.
$$
\begin{align}
\underset{x_1,x_2}{\min} & \quad a_1 x_1 + a_2 x_2 \\
\text{s.t.} & \quad x_1 \boldsymbol{b}_1 + x_2 \boldsymbol{b}_2 = \boldsymbol{c}, \text{ for } \boldsymbol{b}_1, \boldsymbol{b}_2, \boldsymbol{c} \in \mathbb{R}^2 \\
& \quad x_1, x_2 \geq 0
\end{align}
$$
[Set] appropriate values below to describe your problem.