Every economy that has tried collective farming, from small to large, has never been able to achieve self-sufficiency in food.
The US economy around 1800 was the first economy in history to produce a consistent food surplus. You can see the results of this in the astonishing increase in the average height of Americans throughout the 19th century.
In the Great Depression, the government ordered the slaughter of millions of hogs in order to try and raise the price of pork.