Does the amount of children influence the price? I have a bunny and her population and I didnt sell or cross bunnies. I notice that my profit grows.
The price is not fixed and depends on the market. The market has the upper hand and sets the price. I can only say that bunnies wont be cheap.
I breed bunnies and get 10 baby-bunnies, 5 of them I give away. At first I see 10 children of the mommy, then the amount changes to 13 and profit has grown, the balance on my wallet has increased.

Children breed, baby-bunnies appear and earn profit. The mommy gets more children and money. So, profit can grow fast. Everything here depend on the user to whom you give your bunny.