The correct answer to this open question is the following.
The kind of good of this prison is individual good. The government should be very prudent if it wants to contract private companies to run prisons because being private, these companies respond to the owners or stakeholders. They invested their money and have private interests or personal agendas in the business. And if we are talking of prisons and securities, I think the priority should be people or citizen's interest. So I like the government to run the prisons itself. The federal, state or local governments have the citizen's interest as a priority.