Equal-profit bets across three match outcomes

A football match has three possible results, each with fractional odds: Team Alpha wins at $2{:}1$ (a winning $1 stake returns $3, i.e. $2 profit), Team Beta wins at $3{:}1$, and a draw at $10{:}1$. You stake whole-dollar amounts $A$ on Alpha, $B$ on Beta and $C$ on the draw, choosing the smallest such amounts that make your net profit identical whatever the result. What is that profit? If no such betting is worthwhile, answer $0$.

$43. The net results are $2A-B-C$, $3B-A-C$ and $10C-A-B$. Setting them equal gives $3A=4B$ and $3A=11C$, so the smallest integer stakes are $A=44$, $B=33$, $C=12$, and every outcome nets $88-45=43$ dollars.