Can you give a full and detailed explanation for this question? Thanks~

You have $100 now to invest. You consume all your investment proceeds after a year. There are only two possible outcomes with equal probability: (1) economy boom where retum on stock is 30% and return on bond is 2%; (2) recession where return on stock is -20% and return on bond is 2%. Your utility is U(x)=In(x). How much would you invest in stock? 49.7 B.68.7 C.70.5 OD.81.5