Midge's utility function is U = (3/)3 where I is her income per month (i.e., she consumes all her income). Suppose that Midge typically makes $10,000 per month. However, she has an 8% chance that she gets sick in the next month. and loses all her income, $10,000, to medical costs. (a) (1 point) Suppose that Midge cannot buy health insurance at all. What is her expected utility? (b) (1 point) Suppose that an insurance company offers health insurance cov- ering all medical costs when sick (i.e., full coverage). What would the actu- arially fair premium be? (c) (1 point) Suppose that Midge purchases the health insurance with actuari- ally fair premium and full coverage. What is her expected utility? (d) (1 point) What is the highest amount Midge is willing to pay for the full coverage plan