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The maths can't just "be done" because there are too many variables. Sacrificing wood gives -50 hostility, which lets you work two more woodcutters (48 hostility). How much wood this burns depends on lots of things, not just perks, but also citadel upgrades. For me (not quite maxed out) it's 36 wood per minute. So to break even I'd need each wood cutter to make 18 wood per minute. That depends not just on perks, but also on: what kind of trees, how close the camp is to the trees, how close the camp is to warehouse, if the cutters are beavers, any speed modifiers, etc...
That's not even talking about what happens if you first convert the wood to coal and then sacrifice that.
But, in short, you're very unlikely to get this to work without an exceptional set of circumstances. Sacrificing stuff in the hearth is what you do *after* you've reduced hostility by other means (like removing wood cutters).
Are there better trees, or just more stuff that they give?
Assume (spherical) beavers cutting down no-impurity trees at the doorstep of the camp, ignoring emptying time (in a vacuum)
I know i won't generally do it, but i find this kind of math the exact amount of fun where i want somebody else to do it
As for your other approximations, there's no point calculating it like that: walking time is at least as big as actually chopping time. So you won't even get a vaguely useful answer if you try to compute it that way.
Not to mention that you are sounding a little entitled and demanding here...
Is walking that big? the other resources usually take about 4/15 slots on my camp's storage, not nothing, but ingnore for now territory
Btw, does beaver firekeep help for sacrifices? Says "fuel" in the text, so shouldn't, right?
I'd estimate roughly 10 seconds per cycle, but each tree has 2 charges and a single woodcutter has to walk back to drop off the resources and the AI seems rather inconsistent about assigning two workers on the same tree, even if its the only one marked.
Not to mention plenty of other factors, woodcutter-related perks etc. in practice.
Yeah pretty sure it doesn't. Outside of very indirectly (using less fuel for the hearths leaving you a bit more to burn).