you conflated "minimum wage" with "fair wages", why?
The term "fair" is subjective (except county fairs). To a 16 year old who greets you at the restaurant, earning $8 per hour is fair to them because they know that it's an entry-level job. Perhaps to another person with rent and a car payment they might think $20 per hour is fair. They might see no difference in why they should be paid less per hour than the nurse at the hospital.
It was a bad choice of words, I should have said decent instead of fair. The minimum wage doesn't have much to do with fairness and it wouldn't be a fair wages for certain industries. Things such as supply, demand, job description and skills determine what is a fair wage.