# Marginal Product of Capital

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

## Example

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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