3: (50 marks): Consider a Ramsey-Cass-Koopmans economy that is on its balanced growth path, and suppose there is a permanent fall in g. (a) How, if at all, does this affect the k = 0 curve? 1 (b) How, if at all, does this affect the c = 0 curve? (c) At the time of the change, does c rise, fall, or stay the same, or is it not possible to tell? (d) At the time of the change, does r g rise, fall, or stay the same, or is it not possi- ble to tell? (e) In the long run, does r g rise, fall, or stay the same, or is it not possible to tell