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Consider reduced form of the solow growth model: Let y = f(k) = k y is output per worker, k is capitalstock per worker, and 0 < < 1 k = sy (n + d)k In steady state, k = 0.

Suppose that the saving rate is s (0, 1), the depreciation rate is d = 0, and the rate of population growth is n > 0 2 1.

How does output per worker evolve over time?