Answer:
The answer is "1".
Explanation:
Some of the data is missing in the question, that will be defined in the attached file. please find it.
In the given EOS the C-D function:
[tex]= [\frac{d(\frac{K }{ L})}{d \ MRTS} \times \frac{MRTS}{(\frac{K}{L})}][/tex]
The MRTS value = [tex]\frac{1}{2} \times \frac{K-1}{2L} \times \frac{1}{4} \times \frac{1}{4} \times \frac{K1}{2L} - \frac{3}{4}[/tex]
[tex]= \frac{K}{2L}[/tex]
Rearrange it
[tex]\to \frac{K }{ L} = 2 \times MRTS \\\\ \to \frac{d(\frac{K}{L})}{d(MRTS) }= 2\\\\[/tex]
Replace the values in formula elasticity:
[tex]=2 \times \frac{( \frac{K}{2L})}{(\frac{K}{L})} \\\\ =2 \times \frac{K}{2L} \times \frac{L}{K} \\\\ =2 \times \frac{1}{2} \\\\= 1[/tex]