When I am asked whether or not we should have a higher minimum wage my answer is usually something like "a wage that helps all low/no skilled workers concerned and does not harm any current or future low/no skilled workers". Admittedly not very helpful.
I put together some slides with explanations of how I try to objectively view the issue. There maybe a sweet spot for the minimum wage. Where that is, well, I fall back onto "it depends". I think that is actually the best answer.
I hope this helps someone, teacher or student. Feel free to comment.