1. (40 points) Consider the nation of Healthland and one of its citizens, Gary. Gary has wealth of $25, utility over money outcomes given by u(m) = vm, and has a 50% chance of suffering a loss of $16 due to sickness. Healthland has many thousands of residents, all of whom are exactly like Gary. The Healthlandian insurance market is perfectly competitive. (a) What is Gary's expected utility if he goes uninsured? (b) What insurance contract (a, r) will Gary purchase in a competitive insurance market with symmetric information (i.e., when Gary's chance of loss is com- mon knowledge)? (c) What is Gary's expected utility when he buys the contract that you identified in part 1b above