) true and false. Certain monopolies were deemed in the public interest- utilities. But certain other monopolies were not and banned by federal law, except for the insurance companies.
2) true and false. Government regulated monopolies charge as much as the public regulatory commissions allow them to charge. So some body is determining what they can charge. But not necessarily the business holding the monopoly.
3) True. But depends on apples or oranges. If you are taking a loss because you could make more if you were allowed to charge more are you actually taking a loss if you are making a profit? But if you are actually running an operational deficit you should be in front of your commission to justify rate increases. You are in business to make money and you are providing a public service. The question is how much profit is "reasonable"
You have to realize that there were many monopolies that were making huge profits and preventing others from competing, and therefore creating a real market where normal supply and demand forces could operate. The US has not seen true monopolies for decades. But a good example could be OPEC