Consider a closed economy without government; resource constraint is Y = C Production is (FIRST IMAGE SHOWN) K = 400 Consumer preferences is U (C,I) = ln (C) + ln (I) a) Suppose that z = 10. Show that if the consumerís time endowment is given by h = 6000 hours, the equilibrium quantity of leisure is 2 3 h = 4000 hours. What is the real wage? (b) Suppose that z = 20. Show that the equilibrium quantity of leisure is still 2 3 h = 4000 hours. What is the real wage? (c) Comparing parts (a) and (b), what can you infer about the income and substitution e§ects of a productivity increase?
Consider a closed economy without government; resource constraint is Y = C Production is (FIRST IMAGE SHOWN) K = 400 Consumer preferences is U (C,I) = ln (C) + ln (I) a) Suppose that z = 10. Show that if the consumerís time endowment is given by h = 6000 hours, the equilibrium quantity of leisure is 2 3 h = 4000 hours. What is the real wage? (b) Suppose that z = 20. Show that the equilibrium quantity of leisure is still 2 3 h = 4000 hours. What is the real wage? (c) Comparing parts (a) and (b), what can you infer about the income and substitution e§ects of a productivity increase?
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Consider a closed economy without government; resource constraint is Y = C
Production is (FIRST IMAGE SHOWN)
K = 400
Consumer preferences is U (C,I) = ln (C) + ln (I)
a) Suppose that z = 10. Show that if the consumerís time endowment is given by h = 6000 hours, the
(b) Suppose that z = 20. Show that the equilibrium quantity of leisure is still 2 3 h = 4000 hours. What is the real wage?
(c) Comparing parts (a) and (b), what can you infer about the income and substitution e§ects of a productivity increase?
![Y = 2√K√N = 2K¹/2 ¹/2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe0e777ab-c514-4163-8f7b-2f1ace01003d%2F21abefa9-5342-410d-bfc1-a7a906d9bd21%2Fody93bc_processed.png&w=3840&q=75)
Transcribed Image Text:Y = 2√K√N = 2K¹/2 ¹/2
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