Question 1: The profit maximization problem of the firm in the two-period model with investment is where and max V = π + N, N', I π' 1+r π = ZKaNB-wN-I T' = Z'K'N'B -w'N' + (1 - d)K' K' = (1-d) K +I Parameters a and 3 are both positive and sum up to less than 1, i.e. a>0, ß>0, and (a + 3) < 1. (20 marks) 1. Solve the first-order conditions for the firm's optimization problem and derive algebraic expressions for optimal N, N' and I.

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Question 1: The profit maximization problem of the firm in the two-period model with
investment is
where
and
max V = π +
N, N', I
πT'
1+r
π = ZKaNB-wN - I
T' = 2'K'N'B - w'N' + (1 − d)K'
K' = (1-d)K+I
Parameters a and 3 are both positive and sum up to less than 1, i.e. a>0, ß>0, and
(a + 3) < 1. (20 marks)
1. Solve the first-order conditions for the firm's optimization problem and derive algebraic
expressions for optimal N, N' and I.
Transcribed Image Text:Question 1: The profit maximization problem of the firm in the two-period model with investment is where and max V = π + N, N', I πT' 1+r π = ZKaNB-wN - I T' = 2'K'N'B - w'N' + (1 − d)K' K' = (1-d)K+I Parameters a and 3 are both positive and sum up to less than 1, i.e. a>0, ß>0, and (a + 3) < 1. (20 marks) 1. Solve the first-order conditions for the firm's optimization problem and derive algebraic expressions for optimal N, N' and I.
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