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The optimum minimizes the amount of government assistance.

Obviously, everyone not being starved or dead from lack of medical care means everyone gets food and medical care. That is not negotiable at this time.

Some methods of payment for those universal services have extremely low transaction cost like the employer hands money to employee who buys the service or product for cash. Some methods have extremely expensive transaction costs with government departments taxing people and another department full of people paying partial or full payment for people's food and medical care, none of those people work for free and they all need HR and benefits and management and auditors, all very expensive. Of course give/force the employers to hand out too much cash and you get inflation that exceeds the cost of government.

For example everyone at Google eats and has medical care and having the well compensated employees pay for it is extremely low transaction cost. However no one at walmart can eat and obtain medical care so the government provides it at enormous transaction expense. Its believed to be better for the entire economy to slightly tax google employees to pay for government services for walmart employees than just have walmart pay their fair share of the expenses of employees.

At some point in the middle there's a optimum that minimizes the total cost of government programs plus the economic damage wrought by inflation. A lot of people put a lot of time and money into figuring out this optimal ratio, which is probably extremely close to where we are today, and many more in the general public say "eh we should just wing it and +1 one side or the other, because like, what could possibly go wrong?".

There ARE problems such that those highly paid government clerks with fabulous benefits compared to the private sector are not likely to suggest losing their welfare program administrator jobs any time soon, so there are rational human self interest reasons why the minwage is always going to be around the lower bound of optimum. If the general public is not always of the opinion that its somewhat on the low side, then the central regulators and planners are messing up. There should always be this low level of turmoil about it being somewhat too low.


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