The End of the Minimum Wage?

So yesterday the Conservatives at conference suggested that the unemployed should work for their dole money or attend job centres all week.

So that means the end of the minimum wage, because why would firms pay the minimum wage when they can get someone for free, paid for by the government? Even if the firm the "unemployed" person was working for was contributing something, I assume it would be a whole lot less than the minimum wage.

Of course there will be caveats: the work will be short-term (of course the position will be long term, it'll just be the people doing it that will be employed on short-term contracts, which will entail much shuffling in and out of unemployed people), or something similar.