Dr. Stein is the newly appointed President of the University of Delaware. President Stein is considering a lottery for collecting tuition fees. Under the lottery system, only 10% of the student body (chosen randomly) would be required to pay a yearly tuition of $30,000. All the other students would not pay any tuition. President Stein believes this would be preferable to having everyone pay a tuition of $3,000. Agree or disagree with the following statement, and justify your answer: If President Stein institutes this new system, it would be an efficient way to collect tuition, but it would not be a fair method (5 points). HINT: Be sure to consider both efficiency and the appropriate type of fairness