The Cobb-Douglas production function is a mathematical model used in economics to represent the relationship between two or more inputs, typically labor and capital, and the amount of output produced. It is expressed in the form Q = A L^\alpha K^\beta , where Q is the total output, L is labor input, K is capital input, and A , \alpha , and \beta are constants that represent technology and the elasticity of output with respect to each input. This model is significant because it assumes that inputs can be substituted for one another to some degree, allowing for flexibility in production. The Cobb-Douglas function is widely used in economic analysis and helps in understanding how changes in input levels affect overall production, making it a fundamental concept in both microeconomics and macroeconomics.