Is a minimum wage intended to provide support for one person or for a family (including dependents)? You aren't really clear in your comment on this point, which is common confusion in much discussion of this topic.
If it is for an entire family, then shouldn't there be a different, lower minimum wage for an individual without a family? What about a teenager with an after school job? What about a retiree who is just trying to keep busy but doesn't need a living wage at all?
How does that work? If the minimum wage is intended to be sufficient for an "average household", then shouldn't it be less for a household without children, and smaller still for a single person?
So by your logic an employer would be required to pay every employee a wage that would allow them to support a family even if they don't have a family to support?
If it is for an entire family, then shouldn't there be a different, lower minimum wage for an individual without a family? What about a teenager with an after school job? What about a retiree who is just trying to keep busy but doesn't need a living wage at all?