That's more than what our grocery budget is, but it's not easy to stick to that. We average between $300-$400 a month for a family of 4, mostly organic vegan. Most of what I cook is from scratch and I probably spend more time in the kitchen than most people. I'm also able to do that since I work from home and I know that time is not a luxury that all people have! I also have the luxury of knowing if we go over budget, we just have less money to go towards vacation or Christmas savings or my husband can even bring food home from the restaurant that he works at...either way my family won't be going hungry. That's so tough mentally/emotionally.
We commonly have lentils/quinoa/veggies, homemade burritos, soup, tofu & noodles, etc and those are super cheap meals. I don't feel like we are doing without...I'm sure that we eat better (for cheaper) than many others and we quite enjoy the food!

We also eat plenty of more expensive fresh vegetables like mushrooms, avocado, artichokes, etc but stick to the basic fresh fruit like apples, mandarins, bananas. Things like organic blueberries, cherries, mixed berries are too expensive fresh, but a decent price in frozen form from Costco. That's another thing...I get a ton of things from Costco including most of the healthy oils that we cook with (coconut, avocado, olive). If it weren't for being able to spend several hundred dollars at once to stock up on things at Costco for a few months, we probably wouldn't be able to stick to our budget and eat the way that we do. Plus, many people don't have these types of stores nearby (I've certainly never seen one in the inner-city where I went to college or a very rural area like where I live now) or a way to get there. They're often relying on mini marts with a lot of processed foods and a very small selection of fresh produce. We have to take our Santa Fe when we go instead of the Veloster - there's not even enough room in a car, much less if I had to grab a bus or ride a bike to get there. I also end up going to all sorts of stores...Costco, Whole Foods, Kroger, and Aldi, mostly. Again, I have the means to get to those places.
I also feel like more community education on cooking, nutrition, meal planning, etc would help the monetary assistance in programs like this go a lot further. I actually used to volunteer at an urban farm in Houston that let those in the neighborhood work the land in exchange for tons of fresh produce. It takes much more than throwing money at people to change things!
I grew up on assistance because my mom became disabled. I know what it was like to live the stigma.