Imagine that someone offers you to participate in a game with a maximum of four rounds of statements, to which you must respond only 'true' or 'false'. If your response is correct, you receive $10 for the rst round and additionally: $20 for the corr rect second answer, $30 for the correct third answer and addi* tional $32.74 if you respond correctly to the fourth statement. Whenever you answer one question incorrect the game is over and you end up with the money you earned up-to that point. Since you do not know the next statement beforehand, you consider guessing in all rounds, so that your chance of a correct response is always 50%. Assume that your preferences can be described best by the utility Function 0(1) = 3:2 , where x represents the actual payoff. What is your maximum willing- nose to pay for the participation in this game? a)14. b}25 c)30 d)42