I suspect the so called optimal number is something like 50-200 deaths per day
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It's probably not actually a real world solution though. By the time you have 100 deaths per day let alone 200 you're quite close to unstable solutions and it running wildly out of control. So it would mean that you'd have to have a much lower solution perhaps something like 25 per day.
I don't think there is a societal response. It's split down the middle like brexit. Half of society wants the economy prioritised, half wants physical health prioritised. It also means it's a nightmare as very crudely you could see from a completely independent point of view that half of the population won't 'cooperate' with getting the economy going and the other half the population won't cooperate with severe restrictions (which is what people go on about on here all day long). None of that works unless you take 90% of the population with you and various studies have shown 20% of people cause 80% of cases deliberately/otherwise and a few idiots causing outbreaks whether it's south korea or bolton. You need to take 90%+ of the population with you with whatever is implemented.