As posted before ,we do not have a true minimum wage. That would mean walking into an agencies office and been employed on the spot. Thus a higher wage merely ensures far less jobs in the organized part of the market.
Some time ago i came to the conclusion that the solution was to establish a true purchase system in which anyone can access a night's sleep, breakfast, four hours light duty similar in effort to emptying a truck and lunch. That establishes the value of the financial benefit and can be readily adjusted accordingly. In fact it can be used to establish the level of funding.
The community has no end of compatible tasks otherwise unserviced that it would easily support as well as diverting resources already been spend unsuccessfully to help. Better this framework easily builds community and supports transitions to better work.