Marginal Product of Capital

The marginal product of capital tells us how many additional products the firm makes with a tiny bit more capital. $$MP_K = \frac{d q \left( K, L \right)}{d K}$$


In the cookie factory, the production function is $$ q \left( K, L \right) = K L^2 $$

The marginal product of capital is $$ MP_K = \frac{d q \left( K, L \right)}{d K} = L^2 $$


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