Earlier quoted context omitted.
People made unemployed by the minimum wage require more benefits than they would if they could be gainfully employed at (e.g.) 50% of minimum wage.
There is no empirical evidence that introducing a minimum wage causes job losses on a scale where the increase of unemployment benefits would outweigh the benefits of its introduction. The whole idea that the minimum wage causes unemployment is a myth that is based on incorrect labour market models.
That's because the minimum wage is usually set at such a low level that it applies to very few workers (http://www.bls.gov/cps/minwage2007.htm
I'll give you one natural experiment, however. A min wage hike in American Samoa caused unemployment to increase by at least 6% (= 2041 workers fired by Chicken of the Sea / (65k American Samoans x 52% labor force participation rate)).