Question 3 [15 pointsl Consider a risk averse individual who has utility function rate} which is increasing with \"[U} = I]. There are two risky assets: AB. For t. every dollar invested gives return $0 with probability U3 and $3 with probability 2:3. For E, every dollar invested gives return is ll with probability 1M and $3 with probability 3M. The individual has $12!} to invest. Consider two investment choices: [1) invest entire Sll in A and (2) invest $51] in A, $60 in E. [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 function and showing your work, determine the expected utility of the individual from choice 2 when return from A is bad. [c] [3 points] Drawing diagram of the utility function 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 from choice 2. [e] [3 points] Comparing expected utility from choices 1,2 in a diagram. determine which choice is better