Suppose we know that workers tend to receive 70% of all the income earned in Germany, that
the German depreciation rate is 10%, and that there is no population growth or technological
progress. Suppose we CANNOT assume the production function in Germany takes the
convenient Cobb-Douglas form (Do not assume Y = AK?L1-?). But we can assume that
whatever the production function is, it has constant returns to scale, that the only two factors
of production are capital and labor, that markets are competitive, and that firms maximize
profits. Using just this information, compute what saving rate Germany should try to have, if
it wants to enjoy the maximum amount of consumption per person in steady state (that is, to
achieve the golden rule). [You might find this one difficult. Hint: Make use of Eulerâs
theorem from chapter 3, along with the key Solow model equations from chapter 7.]