ECO325H1 Study Guide - Midterm Guide: Production Function, Tjalling Koopmans, Diminishing Returns

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Note to student: enter your name and student number on each examination book that you use. There are four questions on this test for a total of 120 marks. Read each question carefully and note the number of points allocated to each part. 2. (total 20 points) assume that the final output of the economy is defined by. Y t k t a t l t 1 a. b. c. d. e. (6 points) derive the growth rate of total output in terms of the growth rates of. K t ,a t and l t . (note: just writing down the final equation will only give you 3 points) Justify your answer. (4 points) assume that in addition to the assumptions made above, the growth rate of capital per worker is 5%, and the growth rate of output per worker is 7%. 3. (total 30 points) assume that households have the following lifetime utility function.

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