Calculate total output (Y) given labor (L), capital (K), and technology factor (A).
Technology / efficiency multiplier
Typically 0.6-0.8 (capital elasticity = 1−α)
Formula: Y = A × L^α × K^(1−α) Where α = labor's share of output (1−α) = capital's share of output If α + (1−α) = 1 → constant returns to scale
Understanding the Cobb-Douglas Function
The Cobb-Douglas production function is one of the most widely used models in economics. It describes the relationship between inputs (labor and capital) and output, and was developed by Charles Cobb and Paul Douglas in 1928.
Key Properties
Constant Returns to Scale: When α + β = 1, doubling both inputs doubles output
Diminishing Marginal Returns: Each additional unit of labor or capital produces less additional output