Leontief production function

In economics, the Leontief production function or fixed proportions production function is a production function that implies the factors of production which will be used in fixed (technologically pre-determined) proportions, as there is no substitutability between factors. It was named after Wassily Leontief and represents a limiting case of the constant elasticity of substitution production function.

For the simple case of a good that is produced with two inputs, the function is of the form

${\displaystyle q={\text{Min}}\left({\frac {z_{1}}{a}},{\frac {z_{2}}{b}}\right)}$

where q is the quantity of output produced, z₁ and z₂ are the utilised quantities of input 1 and input 2 respectively, and a and b are technologically determined constants.