Ian earns an income of $3600 per month and his utility of income function is given by U left parenthesis I right parenthesis equals square root of I. Assume each month there is a possibility that Ian will get sick and require healthcare. The probability Ian will get sick is 0.13 and the cost of receiving treatment is $1100. Ian is looking to purchase insurance to cover himself for this possibility. What is the maximum amount of money Ian is willing to pay for an insurance contract that will fully cover his medical treatment in case he gets sick? Report your final answer rounded to two decimals, if needed