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Suppose that the household only lives for one period. The household's optimization problem is: max Ct,Nt U = ln Ct + t ln(1 Nt) s.t.

Suppose that the household only lives for one period. The household's optimization problem is:

max

Ct,Nt U = ln Ct + t ln(1 Nt)

s.t.

Ct = wtNt

In this problem, the household receives no dividend from the firm.

(a) Solve for the optimality condition characterizing the household problem.

(b) From this optimality condition, what can you say about the effect of wt on Nt? What is your explanation for this finding?

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