(Answered) Cnsider an economy whose production function is y

Economics

Consider an economy whose production function is Y = K^θ(AL)^1-θ with A = 4K/L. Suppose that it has a saving rate of 0.1, a population growth rate of 0.02 and an average depreciation rate of 0.03 and that θ = 0.5.

1. Reduce the production function to the form y = ak. What is a?

2. What are the growth rates of output and capital in this model?

3. Interpret a. What are we really saying when we assume that the labor-augmenting technology, A, is proportional to the level of capital per worker?

4. What makes this an endogenous growth model?

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