Principles of Macroeconomics 2e
Principles of Macroeconomics 2e
2nd Edition
ISBN: 9781947172388
Author: Steven A. Greenlaw; David Shapiro
Publisher: OpenStax
Textbook Question
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Chapter 7, Problem 11SCQ

Would you expect capital deepening to result in diminished1‘etmns? Why or why not? Would you expect improvements in technology to result in diminished returns? Why or why not?

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Why Capital does not Flow from Rich to Emerging Countries? We assume that the production function in country i is 1 1 2 Yi = A ² k², (1) where y, and ki are output and capital per capita, respectively, in country i, and A is a measure of technology in country i. (a) Calculate the marginal product of capital (MPK) denoted by Ri in country i. (b) Express the MPK in terms of output per capita, yi, i.e., eliminate ki from Ri by using the production function (1). (c) We consider two countries, indexed by i 1 and i 2, whose production function is described by (1). Both are assumed to have the same level of productivity, i.e., A₁ A2. We assume y2 50y₁. Calculate the ratio R₁/R₂. (d) We keep assuming that y2 50y1, but now we assume that A2 educational attainment is higher in country 2. Calculate the ratio R₁/R₂ under 10A₁ because these assumptions. FX = - (e) We keep assuming y2 50y₁ but now we consider that technology in country 1 is a function of technology of the more advanced country 2,…
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Principles of Macroeconomics 2e

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