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3 years ago

Suppose that an economy has the per-worker production function given as:

Business

1 answer:

Eva8 [605]3 years ago

8 0

Answer:

What is the steady-state value of the capital-labor ratio, k?

k = 16

Explanation:

Suppose that an economy has the per-worker production function given as follows:

yt = 5kt^0.5

where y = output per worker

k = capital per worker

k = sy - (n+d)×k

0 = s(5k^0.5) - (0.10+0.15)×k

0 = 0.20(5k^0.5) - 0.25k

0.25k = k^0.5

k^0.5 = 1/0.25

k^0.5 = 4

k^1/2 = 4

Taking square of both of the sides:

(k^1/2)² = (4)²

k = 16

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