Absolutely 100% incorrect. If the parents aren't willing or able to raise their children, someone has to. "Throw them away" is not a moral, ethical, or utilitarian answer.
At least from a purely utilitarian point of view, cost of educating and raising a child is exorbitant (teachers, food, clothing, shelter, etc) compared to euthanizing them (1 to 5 bullets, executioner pay, and burial costs). Benefits are going to be somewhat iffy; yes they could turn out okay but it's just as likely they could turn into criminal offenders that will chew up resources of the criminal justice system which is quite a lot more expensive.
I will emphasize that this is strictly from a utilitarian point of view. I make no comments on the moral, ethical, and legal issues.
I think you missed the "imprison them for 2 decades" part of euthanizing them in your consideration. It's fun to just make up how you think things should ideally work, but we're bounded by how things actually work.
At least from a purely utilitarian point of view, cost of educating and raising a child is exorbitant (teachers, food, clothing, shelter, etc) compared to euthanizing them (1 to 5 bullets, executioner pay, and burial costs). Benefits are going to be somewhat iffy; yes they could turn out okay but it's just as likely they could turn into criminal offenders that will chew up resources of the criminal justice system which is quite a lot more expensive.
I will emphasize that this is strictly from a utilitarian point of view. I make no comments on the moral, ethical, and legal issues.