> Oh, but not enough people will be interested at the minimum?
It's way worse than that. I recently had the displeasure of reading one of the dumbest thread of comments on a linkedin post because the job description did exactly that: mention the minimum salary.
It was a job post for a "seo and social media manager" position which can mean a lot of things, can mean everything and can mean nothing, depending on many factors (eg: company size, number of customers). The (minimum) pay was 20 k€ (south europe).
Everybody was looking at the number, no one had even considered it was the bare minimum and that maybe the original company was looking for some 20-something fresh out of high school, which no particular set of competencies.