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Consider an economy in the Ramsey growth model with population growth rate n and technology growth rate 9. Output is produced according to the Cobb-Douglas production function, Y; = K?(AtLt)1_'. ((3) Suppose the economy is on its balanced growth path. Draw a sketch of the log of GDP per effective worker over time (with time on the x axis and log GDP per effec tive worker on the y axis). [10 marks] ((1) Now suppose that total factor productivity depends on the level of capital, i.e. At = AOKf, with 0