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(Output / input), both of which are usually measured in money. If you can measure both of those things--and you have bigger problems if your finance department can't--it logically follows that you can measure productivity.
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Measuring strictly in terms of money per unit time over a small enough timeframe is difficult because not all tasks directly result in immediately observed results.

There are tasks worked on at large enterprises that have 5+ year horizons, and those can't all immediately be tracked in terms of monetary gain that can be correlated with AI usage. We've barely even had AI as a daily tool used for development for a few years.

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