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On another point:
Why do we assume the person who owns the scales is a miser?
Should we not congratulate him on using his business acumen to corner the market in renting out weighing devices? There's obviously a market for his service, and he is offering it at a price that the market seems willing to pay.
Of course, if my solution to the puzzle is widely accepted, he will quickly go out of business. But that's OK too. We can't afford to support outdated industries whose services are no longer relevant.
It's all a nice little lesson in capitalism.
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