Is Mill right when he says that goodness is simply -Utilitarianism

Is Mill right when he says that goodness is simply "whatever promotes the greatest happiness for the greatest number of people"?

What is the greatest happiness? How can we determine what that might be? In your answer, explain Mill's distinction between "higher and lower pleasures" in contrast to Bentham's "moral arithmetic." Consider, also, the various objections to utilitarianism as discussed in the lecture.

Does this approach work for our ethical problems today? Can you think of current practices that are in alignment with the Greatest Happiness Principle? What about practices and behavior that would be morally impermissible according to Utilitarianism