Describe and graph how each of the following affects the k = 0 and = 0 locus. How does c and k

react immediately after the change and what is the new steady-state? Note: k and c will denote per

intensive unit of labor.

a) Permanent rise in productivity growth rate g.

b) Rise in the preference for today's consumption .

c) Proportional downward shift of production function f(k).

d) Decrease in the depreciation rate of capital .