An individual is considering whether to stray from honest work and become a criminal. If he gets caught being a crook, he is imprisoned and receives a consumption level of 20 units (C_0 = 20). However if he gets away with the crime he gets to live like an Al Pacino character with consumption (C_1 = 80). The probability of getting caught is "p" and p = 0.5. a. What is the persons expected consumption if he goes into crime (E(C))? b. The persons utility is given by U(C) = ln (C), where "ln" means the natural log of C- a function that can be found on any scientific calculator. What is the expected utility E(U/(C)) for this person if he does the crime? c. What is the persons utility level when consumption equals E(C)? How does it compare to the expected utility level from part (b)? Is this potential criminal risk averse? d. Think about the persons alternative consumption if they earn an honest living. How large would the persons legitimate income have to be (call this C) for them to be indifferent to honest work and crime?