If the farm can’t use their vehicle to convey the eggs for you, you can get the eggs from the farm using a taxi. Collect the money up front from the buyers. Pay the seller and deliver the eggs.
The more the buyers that you have the more the money you will make.
When I started egg business years back, I used this method a lot. I will get money from a sister of mine and return it in a week. Before the time of return I would have made my profit. Since I do not default my sister was always willing to loan me the money. That’s integrity. Integrity will help you in the egg business.