I should specify it's 10 days' supply at the start of each year and at the end. Changing that to 20 does not change the result one bit. Notice you must choose 1 spot in the year to fix, otherwise you can't compare with seasons and without seasons in any meaningful way since you can't influence what regions produce (i.e. the daily +40 that comes in which varies per season).
The math is not off. Perhaps the assumptions should be stated more clearly.
I poorly stated what I meant. Your math is not wrong in and of it self, its just that you aren't really going with the assumption that you stated. Having a 10 day supply once basically every 3 months/1 IG year is not what I call prefering to have a 10 day supply/stockpile, its does not actually illustrate the food purchases that would be happening, and you gave the region 0 production of food which I don't think happens for any pop, especially not when its 20k, though I am not sure this last point actually matters.