How can I answer this optimal consumption choice question based on a three period model?

AlhreelleriniMndel Milton lives for three periods. His income is $20, 000 in the first period, $120, 000 in the second period and $10, 000 in the third period of his life. The interest rate is r : 0 and he has utility function 0.5 log(cl) + 0.5 log(c2) + 0.5 log(C3) (a) Find Milton's optimal consumption choice in the three periods. (b) Find the financial asset position at the end of period 1 and 2, s1 and 52, as well as saving seal, song, 55:03 in the three periods. (c) Now suppose that Milton cannot borrow. How do the answers to part (a) and (b) change? ((1) (Suppose the government increases taxes in the first period by $10, 000 and reduces them in the second period by $10, 000. How does your answer to question (a) change (if Milton can freely borrow). (6) Repeat question ((21), but now assume Milton cannot borrow