Consider an economy in a steady state with population growth rate n, a rate of capital depreciation Delta, and a rate of technological progress g(growth rate of y* in steady state).

1. At the steady state change in k tilda = 0, where k tilda equals capital per effective worker. What condition must be met for this to hold? Describe the condition in words as well as mathematical expressions.

2. Describe in words what is maximized at the Golden Rule level of k tilda.

3. What mathematical condition must be met at the Golden Rule level of k tilda?