A lottery has 4 tickets, 1 of which will be selected at random as the winner. The winning prize is $100. Andy currently has one of the 4 tickets in this lottery, and his utility for money is U($x) = x2. Andy's friend wants to buy the ticket from him for as little as possible. What is the minimum amount he can offer that Andy will accept? Answer in dollars. Assume Andy follows the expected utility rule, and money is the only thing he cares about. Note that Andy doesn't have to find the offer advantageous to accept it. He just has to be indifferent between keeping the ticket and trading it for the amount his friend offers