Consider the Solow model with population growth, as presented in the text. Assume that population can grow at two different rates n1 and n2, where n1 > n2. The population growth rate depends on the level of output per capita (and therefore the level of capital per capita). Specifically, population grows at rate n1 when k < k*, and slows down to rate n2 when k > k*.

Draw a diagram for this model.

Assume that (n1 + δ)k* > γf(k*) and that (n2 + δ)k* < γf(k*). describe what the diagram says about the steady state of the model.