Suppose that there are two occupations in an isolated village: athletes and authors. Athletes produce sports games A, and authors produce books B. Workers choose the one occupation that gives them higher income. Workers have athletic ability and writing ability, which may differ. Their income from sports games or books depends on their athletic and writing abilities, respectively. The income of an athlete is determined by IA = PAA where pa is the price of each game. A, the number of games produced, is a measure of athletic ability. The income of an author is determined by IB = PBB From part c on, suppose that everyone's book-writing ability is the same. They would all write 5 books per year. Everyone's athletic ability, however, is random. In other words, the number of sports games each worker can produce is randomly determined. The graph below represents worker ability. xxxxxx X In (A) equal income line xxxXXXX In(5 In (B) c) Who will choose to become athletes? (Hint: The workers on which side of the equal income line?) (2 pts) d) Who will choose to become authors? (Hint: The workers on which side of the equal income line?) (2 pts) e) Below are four sets of wages. 1. The income from playing sports games, earned by those who choose to be athletes 2. The income from writing books, earned by those who choose to be authors 3. The income from playing sports games, earned by those who choose to be authors 4. The income from writing books, earned by those who choose to be athletes