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Answer :
Answer:
64.
Explanation:
We identify in the original equation what data we have and what we lack:
[tex]\frac{Y}{L} =50*\frac{K}{L}[/tex]
The problem statement gives us Y / L, which is the real GDP per worker = 3200, so we would lack K / L, which is the physical capital per worker, precisely, the data requested by the exercise. Therefore:
[tex]3200=50*\frac{K}{L}[/tex]
To find K / L we make a simple clearance:
[tex]\frac{K}{L} =\frac{3200}{50}[/tex]
[tex]\frac{K}{L} =64[/tex]
The physical capital equals 64.
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Final answer:
The physical capital per worker (K / L) in Jamaica, given the real GDP per worker of $3,200 and the aggregate production function Y / L = 50 * K / L, is calculated to be $64.
Explanation:
The student is working with an aggregate production function, which in this scenario is defined as Y / L = 50 * K / L. Here, Y = real GDP, L = number of workers (labor), and K = physical capital. To find the physical capital per worker, we will rearrange the given equation to solve for K / L.
Given that the real GDP per worker (Y / L) equals $3,200, we can substitute this value into the equation:
3,200 = 50 * (K / L)
To find the physical capital per worker (K / L), we divide both sides of the equation by 50:
(K / L) = 3,200 / 50
(K / L) = 64
Therefore, the physical capital per worker equals $64.
