A Cobb-Douglas function is a specific type of mathematical function used in economics to represent the relationship between two or more inputs, typically capital and labor, and the output of goods or services. It is expressed in the form Q = A \cdot L^\alpha \cdot K^\beta , where Q is the total output, A is a constant, L is the amount of labor, K is the amount of capital, and \alpha and \beta are the output elasticities of labor and capital, respectively. This function is significant because it assumes that the inputs can be substituted for one another to some extent, reflecting diminishing returns. The sum of the exponents \alpha + \beta indicates the returns to scale: if it equals 1, the function exhibits constant returns to scale; if less than 1, decreasing returns; and if