The MathResource
input-output model
or Leontief model, n. (Mathematical economics) a matrix model of economic production due to Leontief, in which one commences with n goods together with a technology matrix A whose i, jth entry specifies the number of units of good i necessary to produce one unit of good j. The quantity
y = (I - A) x
then represents the output of the economy corresponding to input x. Thus one can determine whether and how a given net output is feasible by solving the matrix system.