Question 2 [15 points] Consider a risk averse individual who has utility inction u(e} which is increasing with 11(0) = 0. There is one safe asset which gives $1 for every dollar invested. There are two risky assets: A13. For it, every dollar invested gives return 5:2! with probability 2'3 and $3 with probability \"3. For B, every dollar invested gives return is $0 with probability 2.5 and $3 with probability 35. The individual has $45 to invest. Out of $45, the individual must invest $15 in the safe asset and the remaining 530 can be invested in risky assets. Consider two investment choices: (I) invest entire 531'} in A and {2) invest $15 in A, $15 in B. (a) [3 points] Drawing diagram of the utility function and showing your work, determine the expected utility of the individual from choice 1. (b) [3 points] Drawing diagram of the utility mction and showing your work, determine the expected utility of the individual 'ont choice 2 when return from A is bad. (c) {3 points] Drawing diagram of the utility inotion and showing your work, determine the expected utility of the individual from choice 2 when return from A. is good. (d) [3 points] Drawing diagram of the utility function and showing your work, determine the expected utility of the individual 'om choice 2. (e) [3 points] Comparing expected utility from choices 1,2 in a diagram. determine which choice is better