How Many Signatures Do We Need For The Petition?

I was thinking about how many signatures we may need, to actually make a difference. We should think of a group target and try reach that if possible. We've got the rest of the week to get as many as possible before we submit it to the warden. Feel free to comment on how many signatures we may need/aim for. 

Ps. It would be nice to have a group meeting this week to consolidate what we have done and what we still need to do etc.