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Well, potato is one of the higher-calorie crops, and one pound contains around 350 calories. If you produce 3,120 lbs a year, that gives you about a million calories. Now, let's assume a family of three - an average person needs around 2,000 kcal a day. That's 2,000 * 365 * 3, or around 2,200,000 kcal a year. So, you come quite a bit short. And that's on a good year; you're gonna have bad years, too. Also a function of climate and soil. In the 19th century, settlers in the plains - Nebraska, Wyoming, etc - often couldn't make it work on 640 acres granted by the government. In contrast, there are eastern states where 20 acres would be more than enough. (Farming in the West is now much more viable thanks to deep wells and mechanical irrigation, but that's a capital-intensive and resource-intensive approach that works best at a scale.) |
The problem with your math is that it assumes the 3k lb yield from gp comment is for potatoes. Your crop yield depends a lot on the crop. Aparently you can get between 10-30 tons of potatoes per acre (that range is from beginner yields to expert) which would be 7-21 million calories per year. Plenty of room, then, to grow a number of other crops to eat a balanced diet.