Long Run) The country of Prosperous has: Production function: Y = 2 K1/2 (AN)1/2, where Y=output;K=capital; A=technology; and N=labor Saving rate (s): 20% per year Depreciation rate (d): 10% per year Labor growth rate (n): 2% per year Rate of technological change (g): 8% per year b. Calculate: The steady state level of capital accumulation per effective worker The steady state level of output, consumption and investment per effective worker Graphically illustrate the above steady state condition.

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter7: Production Economics
Section: Chapter Questions
Problem 8E
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(Long Run)

The country of Prosperous has:

  • Production function: Y = 2 K1/2 (AN)1/2, where Y=output;K=capital; A=technology; and N=labor
  • Saving rate (s): 20% per year
  • Depreciation rate (d): 10% per year
  • Labor growth rate (n): 2% per year
  • Rate of technological change (g): 8% per year

b. Calculate:

  • The steady state level of capital accumulation per effective worker
  • The steady state level of output, consumption and investment per effective worker
  • Graphically illustrate the above steady state condition.
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