AP1. [19 points total] Insurance plan death spiral. A large employer provides insurance to employees and charges them any premium it chooses. However, the employer must try to cover the expected medical expenditures of those who it insures. The employer offers one insurance contract to all employees, and charges them an initial premium at time T = 1 equal to P = 10. After T = 1, for all subsequent periods the employer charges employees a premium that equals the average cost of the people who buy insurance in the previous year. Think about the graphical framework for adverse selection we studied in Class 6. Assume that consumer demand is characterized by: P = 25 0.8 Q and assume that marginal and average cost are characterized by: MC = 25 1.2 Q AC = 25 0.6 Q Suppose that there are 20 consumers, and that demand exceeds marginal cost there, so that: Qmax = 20 (If you like, imagine Q indexing thousands of consumers.) a) [3 points] With the initial price P = 10, what is the initial quantity of insurance sold to employees? What are the average and marginal costs at that quantity? Show your work