Cross-Platform 8-Ball Pool App

I want to release a full-featured 8-Ball pool game on both iOS and Android. The project starts at concept stage, so I will rely on you to design the game flow, build a realistic cue-ball physics engine, and package everything into store-ready builds... (Budget: $250 - $750 USD, Jobs: Android, Game Design, iOS Development, iPhone, Mobile App Development, Unity, Unity 3D, User Interface / IA)