A USER'S MANUAL FOR THE
 LCRAND MATHEMATICAL PROGRAMMING SYSTEM


 Stan Bartilson, G.A. Zepp, T. Takayama



 1. INTRODUCTION


 The purpose of this document is to provide basic instruction in
the use of the LCRAND (and RANDQP) mathematical programming software.
It is assumed that the reader has some familiarity with linear pro-
gramming (LP) but would like to develop the ability to use the quadratic
programming (QP) and linear complementarity programming (LCP) method-
ologies made available through LCRAND. In keeping with this assumption,
the following specific objectives were sought in the preparation of
this manual.
 1. To explain briefly the differences and similarities between
 the LP, QP, and LCP approaches.
 2. To provide meaningful sample problems in the LCP area that
 capture its representative features.
 3. To provide input and programming instructions that are comp-
 lete and clear.
 An effort has been made to make this manual accessible to the
beginner in this area by providing extra information which an experienced
programmer probably would know. At the same time, more complete docu-


 STAN BARTILSON was a Research Assistant for T. Takayama in the Food
and Resource Economics Dept. at the time this manuscript was written. He
is currently a Computer Programming Consultant at the University of Illinois
at Urbana-Champaign. G.A. ZEPP is with the Economic Research Service and
is an Assoc. Professor in the Food and Resource Economics Dept. T. TAKAYAMA
was a Visiting Professor in the Food and Resource Economics Dept. and is
a Professor of Economics at the University of Illinois at Urbana-Champaign.
Appreciation is extended to Sheryl Arroyo and Arlene Malick for numerous
suggestions and assistance in preparing the final draft of this manual.