Need help with microeconomics

Robinson Crusoe lives for two periods. His rst period income is Y1 and second period income is Y2. He can either save or borrow. Suppose the real interest rate is R; his discount factor is ,6; his utility takes the log form. (a) Set up the consumption-saving model of Robinson Crusoe. (Hint: maximize utility function, subject to two budget constraints) (b) What are the endogenous variables? (c) Derive the intertemporal budget constraint. (Hint: present value of consumption = present value of income) ((1) Derive the consumption Euler equation (e) Solve for the optimal level of consumption and saving. (f) Briey explain why smoothed consumption is optimal. (Hint: lecture notes)