Answer: In the long run, [ Select ] ; growth rate of capital per worker [Select ] [ Select] ; growth rate of output per worker [ Select ] N [ Select ] [ Select ]

Microeconomics
13th Edition
ISBN:9781337617406
Author:Roger A. Arnold
Publisher:Roger A. Arnold
Chapter2: Production Possibilities Frontier Framework
Section: Chapter Questions
Problem 11QP
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Answer: In the long run,
[ Select ]
; growth rate of capital per worker
[ Select ]
[ Select ]
growth rate of output per worker
[ Select ]
= [ Select ]
[ Select ]
>
Transcribed Image Text:Answer: In the long run, [ Select ] ; growth rate of capital per worker [ Select ] [ Select ] growth rate of output per worker [ Select ] = [ Select ] [ Select ] >
Suppose that the economy of Rabbit Republic is characterized by the following functions:
Y = 0.5/K/N
C = (1– s) Y
I = sY
Capital evolves according to
K4+1 = Kį – SK + I
(These notations are conventional and as used in the class.)
a. Can you express the model in a per-worker form?
Answer: Yes
b. Assume that this economy starts with Ko = 16 and No = 4. Assume also that there is no population growth, saving rate s = 0.3 and 8 = 0.05. Fill in the following
table as the time progresses for this economy.
Time
Capital per worker
Output per worker
Consumption per worker
Investment per worker
Depreciation per worker
[ Select]
lo
4
0.7
7
0.3
1
[ Select ]
[ Select]
[ Select)
[ Select]
[ Select ]
2
[ Select]
[ Select]
[ Select]
[ Select]
[ Select]
...
[ Select]
[Select]
[ Select]
[ Select]
[ Select)
c. What are the steady-state values for capital per worker, output per worker, consumption per worker and investment per worker for this economy? Without
Transcribed Image Text:Suppose that the economy of Rabbit Republic is characterized by the following functions: Y = 0.5/K/N C = (1– s) Y I = sY Capital evolves according to K4+1 = Kį – SK + I (These notations are conventional and as used in the class.) a. Can you express the model in a per-worker form? Answer: Yes b. Assume that this economy starts with Ko = 16 and No = 4. Assume also that there is no population growth, saving rate s = 0.3 and 8 = 0.05. Fill in the following table as the time progresses for this economy. Time Capital per worker Output per worker Consumption per worker Investment per worker Depreciation per worker [ Select] lo 4 0.7 7 0.3 1 [ Select ] [ Select] [ Select) [ Select] [ Select ] 2 [ Select] [ Select] [ Select] [ Select] [ Select] ... [ Select] [Select] [ Select] [ Select] [ Select) c. What are the steady-state values for capital per worker, output per worker, consumption per worker and investment per worker for this economy? Without
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