Low as it is, minimum wage was put in place for a reason.....
Yes, of course it was. It's the same reason strikers have beaten up strike breakers, the same reason we put tariffs on Brazilian sugar, the same reason Hewlett-Packard pushes firmware updates into printers it already sold to make the printers start checking whether your toner cartridge was made by HP, the same reason the communists imposed state atheism and shut down the churches and mosques. It's because people don't like being competed with.
This is a supply-and-demand chart. The goal that a minimum wage is intended to achieve is to transfer wealth created by the money-for-work exchange, from the employers (labor "Consumers") left of point Qc, to the workers (labor "Producers") left of point Qc. But it achieves this goal only partially -- the minimum wage transfers the wealth in the upper blue area (left of Qm, above Pc, below Pm) between the employers and workers who are left of point Qm. But for the employers and workers between points Qm and Qc, the minimum wage takes away the wealth in the yellow area and doesn't give it to anyone -- instead it prevents that wealth from ever being created in the first place. The yellow area between Pc and Pm represents eliminated employer wealth; the yellow area below Pc represents eliminated worker wealth. The mechanism a minimum wage uses to cause the blue area to change from employer wealth into worker-left-of-Qm wealth is just this:
it stops the workers between Qm and Qc from competing with them on price. So the workers between Qm and Qc losing that yellow area of wealth isn't just some unfortunate incidental side-effect of the minimum wage. It's an essential feature of the intervention: the yellow workers' unemployment
is what makes the blue workers get richer. The yellow workers are
sacrificed for the sake of the greater good of the blue workers.
Rhea's OP question to her political opponents was "What do you want to do with the little people?". That was a fair question. The people who a minimum wage sacrifices in the lower right yellow triangle are the littlest people on the chart: the people with the least wealth and the least prospect of getting an income. So the question for anyone who wants to increase the minimum wage is: What do you want to do with the little people?