"The complexity of doing it this way would significantly increase the load on the game..." I beg your pardon?!? The game is already doing complex supply flow calculations per province. Sourcing supply from factories instead of the capital would add a couple of floating point operations (multiply & add) to the calculation per province, which in computing terms is practically nothing!
province supply += province IC * ( total supply production / total IC )
(Note the part in the brackets is a once-per-hour computed constant).




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