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The productivity slowdown and saving. Consider a Ramsey–Cass–Koopmans economy that is on its balanced growth path, and suppose there is a permanent fall in g. a) How, if at all, does this affect the k ˙= 0 curve? (b) How, if at all, does this affect the c ˙ = 0 curve? (c) What happens to c at the time of the change? (d) Find an expression for the impact of a marginal change ing on the fraction of output that is saved on the balanced growth path. Can one tell whether this expression is positive or negative?     (e) For the case where the production function is Cobb–Douglas f (k) = kα, rewrite your answer to part (d) in terms of ρ, n, g, θ, and α. (Hint: Use the fact that

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