After playing [Chickens!](https://gamehelp16.github.io/chickens/) for a while and buying a few upgrades, I can now purchase robots. However, they offer the following warning:

> 
> Robots help you to slay chickens automatically in this world and NOT chickenverse, they slay normal chickens, iron chickens and gold chickens only since the other type of chickens will attack you
> 
> 
> WARNING: Don't buy too many of them! This world has limited number of chickens, they breed, but if you make too many of robots there will be no more chickens and the robots won't do anything
> 
> 
> 

So how many robots can I build without depleting the population?