So, using information on the HoI4 Wiki I crunched some numbers for the UK and it's kind of interesting.
the UK starts with 34 Civ factories, which we will call a. (the number actually available for production is 22)
Assumptions I made are that on average the UK has Civilian economy, Construction 2 and Free trade.
I also did not account for IC received due to Rubber and Oil Exports, National Focii or anything else, this is purely the IC that can be built with the UKs starting 34 factories and overall weak National Ideas and Laws and is only an approximation as I obviously can't look into the average dates laws can be changed on until I play the game.
Looking at it as a geometric series we can calculate the IC cost of 1 factory with the civilian economy law which is:
(7200/70)*100 = 10285.714285 This accounts for the 30% of factories built that will be unavailable. Call this number k for simplicity.
We then calculate the output of 1 factory which is 5*(factory output modifier)*(1-consumer goods factories)*(construction speed) all percentages converted to decimals. This gives us 5*(1.15)*(0.7)*(0.95) = 3.82375 Call this number j.
We then divide k by j to find f. so f = (k/j)
The number of civilian factories that can be built in any number of years is given by the floor of a*(1 + (365/f)^t where t is the number of years.
We then find that, by Jan 1st 1940 the UK will have 56 civilian factories available to it, which is more than the USA has available at the beginning of the game. Add to this those factories added by National Focii and resource exports and this number grows faster.
We can by 1940 assume the UK to be in war economy, export focus, construction II and have the war Industrialist advisor.
our 56 factories now become 68 and their output will be 68*(5)*(1.1)*(1.7) per day = 635.8
This amounts to 635.8*(365) = 232067 per year. Military factories cost 3600 and so the floor of
232067/3600 = 64 military factories per year, or about 5 full production lines.
I don't really have a conclusion to draw from this, but for anyone looking to approximate other nations IC potential by some date it is pretty straight forward, you could probably generalize the formula, or compound monthly instead of yearly and you might get more accurate results, I'm just opening it up for discussion, it is almost definitely possible to hit these numbers a lot sooner due to National Focii and Trade. If anyone sees a flaw in what I did point it out, I did this rather quickly so there might be a mistake somewhere.
the UK starts with 34 Civ factories, which we will call a. (the number actually available for production is 22)
Assumptions I made are that on average the UK has Civilian economy, Construction 2 and Free trade.
I also did not account for IC received due to Rubber and Oil Exports, National Focii or anything else, this is purely the IC that can be built with the UKs starting 34 factories and overall weak National Ideas and Laws and is only an approximation as I obviously can't look into the average dates laws can be changed on until I play the game.
Looking at it as a geometric series we can calculate the IC cost of 1 factory with the civilian economy law which is:
(7200/70)*100 = 10285.714285 This accounts for the 30% of factories built that will be unavailable. Call this number k for simplicity.
We then calculate the output of 1 factory which is 5*(factory output modifier)*(1-consumer goods factories)*(construction speed) all percentages converted to decimals. This gives us 5*(1.15)*(0.7)*(0.95) = 3.82375 Call this number j.
We then divide k by j to find f. so f = (k/j)
The number of civilian factories that can be built in any number of years is given by the floor of a*(1 + (365/f)^t where t is the number of years.
We then find that, by Jan 1st 1940 the UK will have 56 civilian factories available to it, which is more than the USA has available at the beginning of the game. Add to this those factories added by National Focii and resource exports and this number grows faster.
We can by 1940 assume the UK to be in war economy, export focus, construction II and have the war Industrialist advisor.
our 56 factories now become 68 and their output will be 68*(5)*(1.1)*(1.7) per day = 635.8
This amounts to 635.8*(365) = 232067 per year. Military factories cost 3600 and so the floor of
232067/3600 = 64 military factories per year, or about 5 full production lines.
I don't really have a conclusion to draw from this, but for anyone looking to approximate other nations IC potential by some date it is pretty straight forward, you could probably generalize the formula, or compound monthly instead of yearly and you might get more accurate results, I'm just opening it up for discussion, it is almost definitely possible to hit these numbers a lot sooner due to National Focii and Trade. If anyone sees a flaw in what I did point it out, I did this rather quickly so there might be a mistake somewhere.
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