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macro in a nutshell
The partial production function (L fixed)

This partial production function shows how output increases as more capital is being employed while work-hours remain fixed. Its graph is obtained by placing a vertical cut through the 3D production function parallel to the axis measuring the capital stock.

The slope of the partial production function measures how much output is gained by a given small increase of the capital stock. This slope is called the marginal product of capital. The two tangency lines measure this marginal product of capital at K1 and K2. They indicate that the marginal product of capital becomes smaller and smaller as the capital stock rises.

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