The thrust of this research exploration is aimed at one of the most pressing social problems facing America today: segregation in the public schools. The school system is only one of a complex set of systems, all interrelated, that comprise the entity that we call a city. The geography of the school system--the location of facilities and the location and movement of students to those facilities--is the only observable expression of a complex geo-political decision making system. Many considerations go into the making of essentially spatial decisions that are not primarily concerned with spatial efficiency or with the physical system's day to day operation. It was for this reason that we decided to explore the nature of school location systems in the context of a hypothetical city as a means of minimizing nongeographical influences. We have borrowed the concept of spatial efficiency in school systems. Distance minimization is the comparative measure of the efficiency of alternate arrangements. In order to partially conform to conventional wisdom on urban spatial structure, we chose a polar grid system as a concession to the classical sector and ring theories. The execution of the problem was done using the Linear Programming Algorithm from the IBM Mathematical Programming Systems package on the Pennsylvania State University's IBM/360 computer system. (Author/JM)