Suppose that an$$ economy's production function is

Upper Y equals StartRoot Upper K EndRoot StartRoot AN EndRoot$,$

where K is$$ capital, N is$$ labor, A is the state of$$ technology, and AN denotes the amount of effective labor in the economy.

Suppose that the saving$$ rate, s$,$ is equal to $18\%,$ and that the rate of$$ depreciation, delta$,$ is equal to $8\%.$

Suppose further that the number of$$ workers, g Subscript Upper N$,$ grows at $1\%$ per year and that the rate of technological$$ progress, g Subscript Upper A$,$ is $2\%$ per year.

Given the values of the$$ economy, compute the$$ following:

Part $2$

The$$ steady$-$state value of the capital stock per effective worker is

$$

enter your response here. $($Round your response to two decimal places.$)$