Consider a Solow growth model with the formulation 8 = 0.0175 investment = 0.192 /K Y = 0.384/K, Where ô is the rate of depreciation, K is level of capital, and Y is the level of output. Adjust the line labeled Depreciation and the function labeled Investment to be consistent with the given model.
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K = level of capital
Y = level of output
= rate of depreciation
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- Consider a numerical example of the Solow model: Assume that n=0.2 s=0.3 d=0.1 F(K,N)=K12N12 Initially, in period t=0, that z=3 N=1 and the economy is in a steady state: Suppose that at t=1, total factor productivity falls to z=1 and then returns to z=3 for periods t=2,3,4.... What is the value of per person aggregate output at period t=1?Consider the Solow growth model. Suppose that F(K, N) = zK^a N^1-a,where a = 0.3. Also, assume that capital depreciation rate is 10% (that is d = 0.1), savings rateis 25% (that is s = 0.25), populations growth rate is 2% (that is n = 0.02), and z = 2.• First, determine capital per worker, income per capita, and consumption per capita in thesteady state.• Second, assume that the savings rate has increased to 40% but the total factor productivitydecreases to 1. Discuss the effect of savings and productivity on the steady state level ofconsumption per worker. PLEASE SHOW ALL HAND WRITEN STEPS!!The output of an economy is characterized by a Cobb-Douglas production function with constant return to scale and an output elasticity with respect to capital equal to 0.3. Also given are the following parameters: 30% saving rate, 5% depreciation rate, 2% population growth rate, and the technology factor is 2. a). Find the capital-labour ratio, and also the output, consumption and investment on a per capita basis in the steady state equilibrium. b). Is a government policy that raises the saving rate to 40% socially desirable? Explain your answer with reference to a comparison of this new steady state equilibrium and the initial steady state equilibrium in a) above. c). If the initial capital-labour ratio is 30, is the economy operating efficiently in the sense that welfare cannot be improved? Explain concisely. What if the initial capital-labour ratio is 15? Again explain concisely.