Marginal Product of Labor
\[MPL=\frac{Q_2-Q_1}{L_2-L_1}\]

Variables

MPLmarginal product of labor
Q1initial output
Q2final output
L1initial labor input
L2final labor input

Description

What is this formula?


Marginal Product of Labor measures the additional output generated when labor input increases, holding other production factors constant.


It shows how much extra production is obtained from adding more labor to the production process.


When to use it


Use this formula when analyzing labor productivity, production efficiency, hiring decisions, and diminishing marginal returns.


Example


Initial labor input:


L1 = 10 workers


Final labor input:


L2 = 12 workers


Initial output:


Q1 = 500 units


Final output:


Q2 = 620 units


Formula:


MPL = (Q2−Q1)/(L2−L1)


Substitution:


MPL = (620−500)/(12−10)


MPL = 120/2


MPL = 60 units/worker


Result:


Each additional worker adds approximately 60 units of output.


Applications


- Labor productivity analysis

- Production planning

- Hiring decisions

- Cost-benefit analysis

- Microeconomic production theory


Note


This discrete formula estimates the marginal product over a finite change in labor input. In theory, marginal product is often defined as the derivative of output with respect to labor, but this version is more practical for observed production data.

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