Input-Output Analysis and Linear Programming

Abstract

1. Let $q_{ij}^o$ represent the number of units of Product i (i = 1…5) produced by a unit of activity within Process j (j = 1…5). Since each of the five processes produces a single product, the matrix of output coefficients q° must be an identity matrix of order five, as shown below:

$${q^o} = \left[ {\begin{array}{*{20}{c}} 1&0&0&0&0 \\ 0&1&0&0&0 \\ 0&0&1&0&0 \\ 0&0&0&1&0 \\ 0&0&0&0&1 \end{array}} \right]$$