Suppose that an economy has the per-worker production function given as:
yt = 5K^0.5_t where y is output per worker and k is capital per worker.
In addition, national savings is given as:
S_t = 0.20Y_t, where S is national savings and Y is total output.
Use the production and savings functions above and the depreciation and population growth rates below to answer the following questions. (Enter all responses a:s decimals rounded up to three places.)
The depreciation rate (d) = 0.15 and population growth rate (n) = 0.10
1. What is the steady-state value of the capital-labor ratio, k?

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

the correct answer would be b, when, queen, calder hall and london.

explanation:

we always capitalize words when a paragraph or sentence is starting, when an important name is used, when a place is being written, or simply when a noun is used, etc. so in this sentence, sentence is starting from 'when', so it will be written in capital letters. secondly, queen is considered to be an important person, so it will also be written in capital letter. next, the name of the town is mentioned, i-e calder hall, which will also be written in capital letters. in the last,   city name is being used, 'london', which will also be written in capital letters. so option b is the most appropriate one.

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