When an increase in all inputs leads to a proportionate increase in output, the production process exhibits a particular characteristic. For example, if a firm doubles its labor and capital, and as a result, its output also doubles, it demonstrates this characteristic. This implies a direct relationship between input and output scaling.
This concept is fundamentally important in economic modeling and production analysis. It simplifies analysis and provides a benchmark for understanding how firms grow and operate efficiently. Historically, it served as a simplifying assumption in early economic models, enabling economists to focus on other aspects of production and market behavior.