You are put in charge of raising money for your school club, the Microeconomics Society. You decide to run a lottery. Lottery buyers pick a number between 1 and 1,000, and all 1,000 lottery tickets are sold. If they pick the right number, they win $800. 10. What is the expected return of a lottery ticket? 11. Show your calculation. 12. A wise guy majoring in math says that he thinks your lottery is a bad deal. What other utility might you tell the wise guy he might receive that makes the lottery worth playing? 13. I have five pairs of quality sneakers. My utility from wearing the sneakers depends upon two factors: (1) my ranking of my most to my least favorite, and (2) showing off to my friends that I have a lot of cool sneakers. The table below shows my estimated utilities. How should I plan out my sneaker wearing week to maximize my utility?