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Economists are generally fine with defining productivity as the ratio of aggregate outputs to aggregate inputs.

Measuring it is not the hard part.

The hard part is doing anything about it. If you can't attribute specific outputs to specific inputs, you don't know how to change inputs to maximize outputs. That's what managers need to do, but of course they're often just guessing.

Measuring human productivity is hard since we can't quantify output beyond silly metrics like lines of code written or amount of time speaking during meetings. Maybe if we were hunter/gatherers we could measure it by amount of animals killed.
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