It's cheaper to buy off the Dollar menu than to buy out-of-season, expensive fresh produce (like raspberries, red peppers, etc.)
It's much, much cheaper to buy rice, beans, corn, potatoes, and pasta and supplement with cheap proteins (eggs, chicken) and cheap fresh fruits and veggies (melons, bananas, apples, cabbage, carrots; see the list starting on page 34 of http://www.ers.usda.gov/Publications/EIB71/EIB71.pdf ) Page 36 of the same report shows how an adult on a 2000 calorie diet can meet their recommended fruit and veggie intake for about $2 per day, with a pretty good variety (including some expensive options like strawberries.) This is more or less how I eat, and I'm just above the poverty line.