Is it permissible to partner with a man in a chicken egg business where one of the partners finances and exerts effort to hatch and raise the chickens for sale, and they then divide the profits equally?

The aforementioned transaction is invalid due to ignorance (Jahalah) and uncertainty (Gharar), and because the compensation is unknown and non-existent. The correct method is for the questioner to be an employee of the egg owner, with the duration and wage specified. The egg owner bears all expenses of his eggs and takes all their produce.