2. Consider an economy described by the output function: Y = F(K, N) = K^{0.3}N^{0.7}
a. What is the per-worker output?
b. Assuming no population growth or technological progress, find the steady-state capital stock per
worker, output per worker, and consumption per worker as a function of the saving rate and the
depreciation rate.
c. Suppose that the country wants to increase its steady-state value of output per worker. What steady-
state value of the capital-labor ratio is needed to double the steady-state value of output per capita? What
fraction of income would households have to save to achieve a steady-state level of output per worker
that is twice as high as in Part (b)?
d. Find the Golden Rule capital-labor ratio and the associated saving rate.