This is an example Linear programming with fractional objective of affine functions of ODMO program.
$$
\begin{align}
\underset{x,y}{\min} & \quad \frac{a_1 x + a_2}{b_1 x + b_2} \\
\text{s.t.} & \quad c x \leq d \\
& \quad b_1 x + b_2 > 0
\end{align}
$$
[Set] appropriate values below to describe your problem.