Consider the Solow Growth Model with the production function: F(K, N) = zK0.3N 0.7 .

Assume the capital depreciates at a rate d = 0.10, the population grows at a rate n = 0.01, and the total factor productivity is z = 1. Suppose the unit period is one year.

1. Give the expression of the per-capita production function.
2. What is the golden rule level of capital k ?
3. Calculate the golden rule saving rate s .

4. Find the highest level of consumption per capital c .