4. The country of. for its production function. By chance, scientists stumble onto a technological breakthrough that will enhance Androde's productivity. This technologi- cal breakthrough is reflected in another production function, Method 2. The accompanying table shows combinations of physical capital per worker and output per worker for both methods, assuming that human capital per worker is fixed. Method 1 Physical capital Real GDP per worker per worker 0 0.00 35.36 50.00 50 100 150 200 250 300 350 400 450 500 61.24 70.71 79.06 86.60 93.54 100.00 106.07 111.80 Method 2 Physical capital per worker 0 50 100 150 200 250 300 350 400 450 500 Real GDP per worker 0.00 70.71 100.00 122.47 141.42 158.11 173.21 187.08 200.00 212.13 223.61 a. Using the data in the accompanying table, draw the two production functions in one diagram. Androde's current amount of physical capital per worker is 100. In your figure, label that point A. b. Starting from point A, over a period of 70 years, the

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4. The country of Androde is currently using Method
for its production function. By chance, scientists
stumble onto a technological breakthrough that will
enhance Androde's productivity. This technologi-
cal breakthrough is reflected in another production
function, Method 2. The accompanying table shows
combinations of physical capital per worker and
output per worker for both methods, assuming that
human capital per worker is fixed.
Method 1
Physical capital Real GDP
per worker
per worker
0
0.00
35.36
50.00
61.24
70.71
79.06
86.60
93.54
100.00
106.07
111.80
50
100
150
200
250
300
350
400
450
500
Method 2
Physical capital
per worker
0
50
100
150
200
250
300
350
400
450
500
Real GDP
per worker
0.00
70.71
100.00
122.47
141.42
158.11
173.21
187.08
200.00
212.13
223.61
a. Using the data in the accompanying table, draw the
two production functions in one diagram. Androde's
current amount of physical capital per worker is
100. In your figure, label that point A.
b. Starting from point A, over a period of 70 years, the
amount of physical capital per worker in Androde
rises to 400. Assuming Androde still uses Method 1,
in your diagram, label the resulting point of produc-
tion B. Using the Rule of 70, calculate by how many
percent per year output per worker has grown.
c. Now assume that, starting from point A, over the
same period of 70 years, the amount of physical
capital per worker in Androde rises to 400, but
that during that time period, Androde switches to
Method 2. In your diagram, label the resulting point
of production C. Using the Rule of 70, calculate by
how many percent per year output per worker has
grown now.
Transcribed Image Text:4. The country of Androde is currently using Method for its production function. By chance, scientists stumble onto a technological breakthrough that will enhance Androde's productivity. This technologi- cal breakthrough is reflected in another production function, Method 2. The accompanying table shows combinations of physical capital per worker and output per worker for both methods, assuming that human capital per worker is fixed. Method 1 Physical capital Real GDP per worker per worker 0 0.00 35.36 50.00 61.24 70.71 79.06 86.60 93.54 100.00 106.07 111.80 50 100 150 200 250 300 350 400 450 500 Method 2 Physical capital per worker 0 50 100 150 200 250 300 350 400 450 500 Real GDP per worker 0.00 70.71 100.00 122.47 141.42 158.11 173.21 187.08 200.00 212.13 223.61 a. Using the data in the accompanying table, draw the two production functions in one diagram. Androde's current amount of physical capital per worker is 100. In your figure, label that point A. b. Starting from point A, over a period of 70 years, the amount of physical capital per worker in Androde rises to 400. Assuming Androde still uses Method 1, in your diagram, label the resulting point of produc- tion B. Using the Rule of 70, calculate by how many percent per year output per worker has grown. c. Now assume that, starting from point A, over the same period of 70 years, the amount of physical capital per worker in Androde rises to 400, but that during that time period, Androde switches to Method 2. In your diagram, label the resulting point of production C. Using the Rule of 70, calculate by how many percent per year output per worker has grown now.
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