Suppose that the saving rate for an economy is 0.75, the level of per capita capital stock is 80, the rate of depreciation is 0.02 and the rate of population growth is 0.04. What is the level of per capita income if this economy is in steady state?Group of answer choices6.46.257.156.10

The question is asking for the level of per capita income in a steady state economy given certain parameters. The steady state level of per capita income can be calculated using the Solow model, which is a model of economic growth.

The Solow model states that in the steady state, the per capita income (y) is equal to the per capita capital stock (k) raised to the power of the saving rate (s), and this product is then multiplied by the sum of the rate of depreciation (d) and the rate of population growth (n).

Mathematically, this can be represented as:

y = k^s * (d + n)

Substituting the given values into this equation gives:

y = 80^0.75 * (0.02 + 0.04)

Solving this equation will give the level of per capita income in the steady state.

Please note that the above formula is a simplification of the Solow model and assumes that the production function is Cobb-Douglas with a labor share of one. The actual Solow model is more complex and takes into account other factors such as technological progress.

The steady state level of per capita income can be calculated using the Solow model's steady state condition, which is given by the equation:

y* = k*^α

where y* is the steady state level of per capita income, k* is the steady state level of per capita capital stock, and α is the share of capital in income.

However, in this question, we are not given the value of α. Therefore, we cannot calculate the steady state level of per capita income.