La Productividad Marginal

Understanding Marginal Productivity

Concept of Marginal Productivity

• The marginal productivity of a factor refers to the change in total production when one additional unit of a specific productive factor is added, while keeping other factors constant.

Example of Shoe Production

• In an example involving a country with eight workers producing shoes, the output varies based on the number of workers. For instance, five workers can produce 150 shoes.

Calculating Marginal Productivity

• To determine the marginal productivity of adding one more worker, subtract the previous total production from the new total after adding that worker. For example, increasing from three to four workers results in an increase of 25 shoes produced.

Mathematical Representation

• Mathematically, marginal productivity can be estimated using the derivative of the production function concerning that factor. This highlights how changes in labor input affect overall output.

Understanding Production Functions

• A production function assigns a level of output based on the quantity of productive factors used. In this context, only labor is considered; however, capital could also be included for comprehensive analysis.