Have you read Brave New World by Aldous Huxley or "Those Who Walk Away from Omelas by Ursula K. LeGuin"? Both of these works portray dysutopias that result from the efforts to create a perfect society. The reality is, of course, that there cannot be a perfect society.
However, given that you have this assignment, you must design what you hope will be a utopia. But, since there is a flaw that is common to both Huxley's and LeGuin's utopias, you may wish to focus on how to improve this flaw (and since the assignment is only 2-3 paragraphs you are limited). That is, in both societies, sorrow has been elimated so that people can always be content since discontent causes many social problems. But, can there truly be happiness without the experience of unhappiness? After all, it is only by having known misfortune, sorrow, and the like that people are happy--meaning they rejoice in the pleasures of being well fed, having one physical needs satisfied, being loved, etc.
So, perhaps you may wish to make this dilemma of how to create a perfect world that will remain perfect if sorrow/discontent is eliminated your focus. Must there be someplace where people go for a time to have misfortune so that they can appreciate their "perfect society"?
You may wish to check out the LeGuin story, which is not long, as it will provide ideas. The summary and other study guides are provided at the sites listed below.