11) A small economy increased its capital per hour worked (K/L) from $70,000 to $85,000. As a result, real GDP per worker (Y/L) grew from $25,000 to $35,000. If the economy increases its capital per hour worked by another $15,000 to $100,000, but there is no change in technology, how will output per worker change?
a) Output per worker will fall by more than $10,000.
b) Output per worker will increase by $10,000.
c) Output per worker will fall by less than $15,000
d) Output per worker will fall by $15,000
e) Output per worker will increase by less than $15,000.
f) Output per worker will increase by more than $15,000.
Given that,
Increase in capital per hour worked from $70,000 to $85,000
As a result, Real GDP per worker increases from $25,000 to $35,000.
So, the real GDP grew by = $35,000 - $25,000
= $10,000
There is no change in technology.
Initially, the marginal product of capital is $10,000 because as we increase the output level, then there is a diminishing marginal returns.
Hence, the output per worker will increase by less than $10,000 because the output per worker would increase at a diminishing rate.
Correct Answer: Output per worker will increase by less than $10,000.
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