John is sending a package worth 900. There is 20% chance that the package will be lost in transit. An insurance company offers him an insurance against that event for a price of 30. John's utility function is U(x) = x. a) Is John risk averse, risk neutral or risk loving? Write down another utility function that shows the same type of risk attitude as John. Draw John's utility function on a graph (the graph should show the main feature, e.g., concave, linear or convex. You do not need to plot coordinates on the graph). (10 marks) b) Will John buy the insurance for a price of 30? Explain. (10 marks) c) What is the maximum price Johr, is willing to pay for the insurance? Explain. (10 marks)