Profit is not the suitable incentive for a lot of things... pretty much all society-related systems; think education, infrastructure, environmental protection and so forth.

The false idea is that "profit" makes everything more "efficient", but - as Noam Chomsky explained, the goal of any corporation is to maximize profit, delivering the worst product/ service at the highest price. The social burden when they relocate the production and the cost to the environment are considered "externalities".

In the Western "democracies", the military, police, and - especially - the politicians are "for profit"...