Question: Most of us feel very strongly that there are limits on what people are permitted to do, and on what people are required to sacrifice, in the name of overall utility. It is therefore hard for us to believe that the utilitarian theory could be correct. It may be part of the story about morality, but we find it hard to believe that it could be the whole story.
How does Mill respond to such worries? And how successful is his response?
I would also encourage you not simply to focus on Mill. Give some serious thought to how Kant would object to his view, and how he might respond to their objections.