a)An investor has a utility function (x) , the investor maximizes Expected Utility, and is faced with an investment that pays $100 with probability 20% or $10 with probability 80%.If her current wealth is $100, how much will the investor pay for this investment?

b)Redo the above if current wealth is $1000.Is this result a surprise?

c)For an investor with a mean-variance utility function with coefficient of risk aversion A. Show that the indifference curve isincreasing and convex. Explain your answer intuitively.