Economic Growth I – Work It Out Question 1 a. Does this production function have constant returns to Country A and country B both have the production scale? function. yes Y = F(K, L) = KiL! no b. What is the per-worker production function, y = f(k)? y = k0.5

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Economic Growth I – Work It Out Question 1
a. Does this production function have constant returns to
Country A and country B both have the production
scale?
function.
yes
Y = F(K, L) = KL
no
b. What is the per-worker production function, y = f(k)?
y =
0.5
Transcribed Image Text:Economic Growth I – Work It Out Question 1 a. Does this production function have constant returns to Country A and country B both have the production scale? function. yes Y = F(K, L) = KL no b. What is the per-worker production function, y = f(k)? y = 0.5
Economic Growth I – Work It Out Question 1
c. Assume that neither country experiences population
growth or technological progress and that 3 percent of
Country A and country B both have the production
capital depreciates each year. ASsume further that country
function.
A saves 11 percent of output each year and country B saves
Y = F(K, L) = KiL
19 percent of output each year. Using your answer from part
b and the steady-state condition that investment equals
depreciation, find the steady-state level of capital per worker
(k*), income per worker (y*), and consumption per worker
(c*) for each country.
For Country A
For Country B
k* for Country A:
k* for Country B:
y* for Country A:
y* for Country B:
c* for Country A:
c* for Country B:
Transcribed Image Text:Economic Growth I – Work It Out Question 1 c. Assume that neither country experiences population growth or technological progress and that 3 percent of Country A and country B both have the production capital depreciates each year. ASsume further that country function. A saves 11 percent of output each year and country B saves Y = F(K, L) = KiL 19 percent of output each year. Using your answer from part b and the steady-state condition that investment equals depreciation, find the steady-state level of capital per worker (k*), income per worker (y*), and consumption per worker (c*) for each country. For Country A For Country B k* for Country A: k* for Country B: y* for Country A: y* for Country B: c* for Country A: c* for Country B:
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