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The marginal product of capital (K) at L = 2 and K = 2 in the production function Q = 32 + 2L2K + 4K2L is

The marginal product of capital is 40. Differentiating with respect to K while holding L constant gives \(MP_K=2L^2+8KL\); at \(L=2\) and \(K=2\), this is…

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The marginal product of capital (K) at L = 2 and K = 2 in the production function
Q = 32 + 2L2K + 4K2L is

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The marginal product of capital is 40. Differentiating with respect to K while holding L constant gives MPK=2L2+8KLMP_K=2L^2+8KL; at L=2L=2 and K=2K=2, this is 2(22)+8(2)(2)=8+32=402(2^2)+8(2)(2)=8+32=40.

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  • Karnataka SET (KSET)

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