I need some guidance ... I have much trouble finding a way to get a proper supply of food ... how many can you expect a farm is able to supply and how do you make sure that the farm is producing?
At the beginning it's enough to build single farm somewhere near carrots, fill it with workers and select carrots to harvest them. Don't know for sure how much single farm can handle, but later on you can upgrade it. Just watch food in the resources bar(at start it may increase very slowly as all carrots must gathered and be planted first), if it's starts to drop, build more farms, assign more workers or upgrade one.
Also make sure there's water source available so farms can be watered.