THE ANALYSIS OF INDUSTRIAL RELATIONSHIPS IN LOCATION THEORY

The following analysis refers to the regional distr ibution of three manufactur ing industries in the U.S . Some of the results presented here may also be found in an earlier study. 1 Let s,~ be the sales of industry i ( i = 1, 2 , . . . , n) to industry j ( j = 1, 2 . . . . . n); and let rj~ be the requirements of industry i f rom industry j . Then: s~j = r~ (1) The sales of industry i to industry j expressed in gross output of industry i equal