I have a guess, but let me ask why you oppose the minimum wage.
I'm a Capitalist, so I'm against any limitations on wages. If I run a business and need something done, and I can afford to pay someone to do it for $7.00 an hour, and someone is willing to do it for $7.00 an hour, then they should be able to take my money.
But, things being the way they are... every state has their own minimum wage already. Every state has a different economy. It costs more to live in San Francisco California than it does in Fargo North Dakota. We don't need a Federal minimum wage, but we have one anyway. So, in my opinion, it should be the lowest common denominator. There are many things that our Federal Government should stay out of, and this is one of them.
I have had my own business for over 20 years, and I have never employed anyone... even though I could. I absolutely refuse to involve myself in anything regulated by government, any more than I already have to. So yes... minimum wages hurt people.