Answer :
If we have that [tex]Y = 4k^{1/2}L^{1/2}[/tex], when, K = 9 and L = 25, then the output is 60. Alternative D is correct.
To find the output of a mathematical expression, when the variables take certain values, what we must do is to substitute the values taken by these variables and then solve and simplify as much as possible.
Initially, we have the following mathematical equality:
[tex]Y = 4k^{1/2}L^{1/2}[/tex]
Considering that K = 9 and L = 25, we substitute these values in the previous expression and solve:
[tex]$$Y= 4K^{1 / 2} L^{1 / 2} = 4(9)^{1/2}(25)^{1/2} = 4\times 3 \times 5 = 60$$[/tex]
In conclusion, the output is 60, which is option D.
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