Farmer's markets are absolute gold when you are trying to eat cheaply. Here in Boston (where the cost of living is fairly high in most respects), I can head down to the farmer's market on Saturday morning, and pick up 100+ lbs of fruit and vegetables for around $20. If you go there in the evening as they are closing up, you can get twice that in remaindered produce, although the choice/quality obviously won't be as good.
Just a note on this, this is very location specific. The farmers market where I am is far more expensive than the store. It's better quality, but you definitely will not save money.
To contrast that, where I am from originally farmers markets can have tremendous deals.