Consider an expected utility maximizer whose cardinal utility index is 4x, if x < 4; u(x) = | x?, otherwise. 1. Can she be characterized as risk averse, strictly risk averse, risk loving, strictly risk loving or risk neutral? 2. Suppose that this person's wealth is $1, and she is offered the following gamble: a fair coin is tossed; if it comes up tails, she wins $3; if it comes up heads, she loses $1. How much is she willing to pay for this gamble? 3. If her initial wealth was $5, would she be willing to pay more? Why?