Bill has a utility of money or wealth function given by u(x) = x^1/2 and faces a coin flip (equal .5 probabilities) to win or lose $2,000. Calculate his expected utility for this gamble if his initial wealth level is $20,000. Then take this expected utility from the gamble and determine the level of wealth that would give Bill this level of utility. [Hint: you will be solving a problem of the form x^1/2 = 8.769, so take the square of the numerical value for expected utility.] This value is known as the certainty equivalent. Would Bill be willing to "sell" this gamble to a third party for $200? Explain your answer.