Principle behind Utilitarianism

What is the basic principle behind Utilitarianism? What is the basic principle behind Aristotle’s Virtue Ethics?

Assume that the current birthrate will leave us unable to produce enough food for everyone and lead to widespread famine. How would a Utilitarian try to solve this problem? How would a Virtue Ethicist try to solve the problem? (In both cases be sure to explain your answer. Using http://faculty.cua.edu/hoffmann/courses/309_1121/309_Aristotle-Kant-Mill.pdf

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