This problem is about decision making under uncertainty for an expected utility maximizing consumer with utility function over consumption given by u(c) = \frac{c^{1-r}}{1-r}. There are two possibles states of the world, with c_1 \in R_+ denoting consumption in state 1, and c_2 \in R_+ denoting consumption in state 2. This individual believes that the probability of state 1 is equal to \pi. Write the definition of risk aversion and find the values of r for which she is risk averse