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pretty sure the quality module would be putting out quality packs more often than a productivity would produce an extra. so if labs can used mixed quality packs then using those makes sense
something that can be a goal in the end-game
Not to begin with. For the same tier and quality productivity produces about 2.5 times the gain that quality does. And you need fewer assemblers and modules to do it, since you can use speed beacons.
Only if you have researched a very high level of research productivity would the balance of advantage shift to quality.
i mean you either could balance your labs, based on common packs and just be "happy" if there are higher tiers, but that just means science backs up
but if you balance it on a higher consumption rate, you could run dry
(Also there is the hassle of automated quality science shipping between planets)
A quality module 3 (without quality on them) would add 2.5% and decrease speed by 5%
A productivity module 3 would add 10% productivity and decrease the speed by 15%.
What that means is that with 1,000,000 times the time it would take to craft without modules, a productivity module 3 would bring down the number of crafting cycles to 850,000 but get an extra "free" 85,000 for a total of 935,000 science packs.
Similarly, the quality module 3 would get 950,000 crafting cycles (so already more than the productivity module's total), with 21,375 being uncommon, 2,137 rare , 214 epic and 21 legendary (rounded numbers of course).
Applying the bonus from quality, you would get 976374 packs worth of research (about 2.776% "free" compared to the resources spent).
Both end up being worse than the "no module" number in terms of total production, the productivity gets the least but also at the least cost and quality is closer to no modules while also saving some materials.
Quality modules have the advantage when used on their own, but productivity modules can be paired with speed modules later on as well.
So the final take is that if resource cost is not a big deal for you, no modules (or speed modules) have the advantage, quality modules get you more than productivity modules but less "free" ones.
A lot of speed beacons allows a single assembly machine to do the work of several assembly machines, but they're incompatible with quality modules. So to get the same SPM with quality modules requires a lot more assembly machines (and also more resources, thus more machines providing those resources) than having science using productivity and speed beacons.
thats just not correct, ofcourse you can request all qualities (needs a request for each quality),
problem is more the automatic loading of science packs from other planets
However, my impression is that these materials would be better used elsewhere -- either directly (smelt with the furnaces!), indirectly (productivity modules as ingredients to higher tiers) or sending them to quality recyclers to increase production of higher quality source materials.
Then multiply by 0.8 is the production rate, 0.88 output per cycle.
But quality is a probability problem, not guaranteed.
IMO, it is not a good way.