2. Optimal UI. Bill and Ted both earn $1,000 per week working the same job at the same company. Bill and Ted each face some risk of being laid off due to a potential recession. If they get laid off they will drive for Uber part-time and make $250. There is a 10% chance of Bill being laid off and a 30% chance of Ted being laid off. They both have the utility function U = In(C). (a) The government is considering two UI plans, one generous ($600 benefit) and one less generous ($100 benefit). The payments would be financed by a tax that applies to earnings of people who keep their job. (The tax doesn't apply to money from Uber or the UI benefits.) What is the minimal tax (in $s) that would allow it to finance each plan