Better take away that incentive to do well, insure that you will only get the ones who were too stupid to drop out and spend their education money where they can make money, that will make it all better.
There are some areas where free markets cannot deal. Essential services that everybody needs.
Here is a point in case. Free markets create dentistry that many of the poor cannot access, for financial reasons. They don't distribute properly. Adam Smith's mythical 'invisible hand' doesn't work.
The idea that markets give incentives to do better is also a myth.
Take my area, benefits and returning the unemployed to work.
The government has recently handed contracts to private corporations to deal with certain unemployed demographics. We 'farm' off this demographic to the private company for six months. If the company gets the unemployed person into work the company keeps the benefits that would have been given to the individual for the six months, providing the job lasts more than just 13 weeks. The ethos in these firms is to get them into any old job in the first week, resulting in large numbers going into temporary, crappy jobs that don't last and provide the jobseeker with no prospects.
We, in the public sector don't have that immediate rush for financial gain, spend time with the jobseeker, providing them with skills, training and career planning so that they get into sustainable, lasting jobs.
Guess which organisation has less incidents of unemployed returning to benefits quickly?
Unfortunately, our government being congenital idiots follow the free market myths.