8. Under two period consumption-saving framework, suppose a representative consumer has following stream of income. In period 0, he earns Rs. 100 and in period 2, his income is 50. He can borrow and lend at the same interest rate i = 11%. His preferences are represented by the additivety separable utility function: Cl-n U(C,, C) = +0.9 1-n 1-n where the risk aversion is given by the parameter n = 2. a) Define marginal utility of consumption at t = 0 and t = 1, respectively. b) Wrote down the consumer's intertemporal budget constraint and the first order condition that must be satisfied by the optimal consumption stream. c) Use the first order condition and the consumer's intertemporal budget constraint to find the consumption function in period 0 and period 1 that maximizes utility. d) How much will the consumer save at t = 0? How much will his savings be worth at t = 1