Suppose that you graduate from college nekt year and you haye two career options: 1] You will start a job in an inyestment bank paying a swamp annual salary. 2] You will start a PM). in economics and. as a student, you will receive a $2, salary. 'i'ou are bad with decisions. so you are letting a friend of yours decide for you by ipping a coin. The probabilities of options 1 and 2 are. therefore. each sass. a} Illustrate. using indifference curyes. your preferences regarding consumption choices in the two different states of the world. Assume that you are risk-ayerse. [Include also the 45 degrees line in your gure] b} How show how the indifference curyes would change if you were substantially more risk ayerse than before. Explain. cl Now show the indifference curyes if you are risk neutral and if you are risk loying. d} Show your expected utility preferences from point a] mathematically