1. Show if the following utility functions represent risk averse, risk neutral or risk loving preferences. i. u(c) = 105 + 3 ii. u(c) = C2 +3C ifi. u(c) = e4C iv. u(c) = 1 -e-c 2. A woman with current wealth X has the opportunity to bet an amount on the occurrence of an event that she knows will occur with probability P. If she wagers W, she will received 2 W, if the event occur and o if it does not. Assume that the Bernoulli utility function takes the form u(x) = -e-rx with r > 0. How much should she wager? Does her utility function exhibit CARA, DARA, IARA