An expected utility maximizer with an initial wealth of 36dollars has state-contingent preferences u = w1/2. There is a 25 percent chance that a gamble will increase her wealth to X dollars and a 75 percent chance that the gamble will decrease her wealth to 16 dollars. What is the minimum value for X that will make her participate in this gamble? Provide an expected utility of wealth diagram showing the expected monetary value and certainty equivalent for this gamble.