Hi, It's really just a matter of usage. That's how we all like to say it. In any one area, there is usually just one legal minimum wage, so if you used an article it would be 'the'.
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MeggPhaggSiouxFrom some newspaper:No, normal collocation doesn't need an indefinite article.
"For now, he would work two days a week, at minimum wage."
Shouldn't it be "a minimum wage", since wage is countable according to most dictionaries?