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You are correct in that you need 10 rocket fuel, 10 rocket control units, and 10 low density structures every 3s. I'd use total resources over 300s but whatever.
You simply need to work out how many assemblers it would take to make these 1000 (crafting time is 30s each, so it will take one assembler 40s to make one item, which means you need 133.3 blue assemblers for each of the three resources). Cumulative total is now 400 assemblers.
Now we need to figure out what parts are needed to make these 1000x of each of these three resources over five minutes:
10k steel plate, 5k copper plate, 5k plastic bar, 10k solid fuel, 1k processing units, 1k speed modules.
Simply repeat the above step until you have only plates left - e.g. 1k processing units requires 20k green circuits, 2k red circuits, 0.5k acid and 280 assemblers.
Good luck?
You made my head spin!! A lot of calculating and even more to set such a system up. But i'm a slow builder, so maybe i get there before they release 0.16
I know, I'm the same way! It would be a lot easier to use yellow assemblers, speed and productivity modules and beacons, but the math is confusing enough without adding in the additional effects of modules! Plus, I was interested to see if it would be possible to do it this way, but clearly you would need an enormous factory to do it this way.
One assembler makes 1 low density structure in 30s/0.75=40s, so one assembler will make 300s/40s= 7.5 low density structures in 300s. Since you need to make 1000, you need 1000/7.5=133.3 assemblers in order to make the low density structures alone (assuming you have all the parts already).
The numbers for the control unit and rocket fuel are identical, so you need 400 assemblers in total (assuming that you have all the parts already).
Since we have to make the parts too, we then need to repeat the same calculations for everything else that is crafted by assemblers until you are left with basic plates.
https://www.reddit.com/r/factorio/comments/4a0y0x/how_are_production_ratios_calculated/