Q=5L2/3K1/3. Find marginal product of capital atL=64,K=27.
For Q=5 L^(2/3)K^(1/3), MP_K=(5/3)L^(2/3)K^(−2/3). At L=64, K=27, L^(2/3)=16 and K^(2/3)=9, so MP_K=(5/3)(16/9)=80/27 output units per capital unit. The other fractions fail…
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Q=5L2/3K1/3. Find marginal product of capital atL=64,K=27.
Answer and explanation
Correct answer C
For Q=5 L^(2/3)K^(1/3), MP_K=(5/3)L^(2/3)K^(−2/3). At L=64, K=27, L^(2/3)=16 and K^(2/3)=9, so MP_K=(5/3)(16/9)=80/27 output units per capital unit. The other fractions fail the derivative or substitution.
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UGC NET Economics