It would be difficult so no one bothers. How many "people" is monthly use of S3, DynamoDB, RDS, Route 53, etc. equivalent to? Its not easy or worthwhile to estimate. Revenue per employee can be a bit of a vanity metric.
well, the obvious solution is using profit/people rather than revenue/people, isn't it?
EDIT: ah, as another commenter mentioned, it is also true that you might be growing fast with low profit so I guess both measures make sense (or not) in different contexts.