* Cute AMPL model  (translation to GAMS)
*
* AMPL Model by Hande Y. Benson
*
* Copyright (C) 2001 Princeton University
* All Rights Reserved
*
* Permission to use, copy, modify, and distribute this software and
* its documentation for any purpose and without fee is hereby
* granted, provided that the above copyright notice appear in all
* copies and that the copyright notice and this
* permission notice appear in all supporting documentation.

*   Source: Problem 36 in
*   A.R. Buckley,
*   "Test functions for unconstrained minimization",
*   TR 1989CS-3, Mathematics, statistics and computing centre,
*   Dalhousie University, Halifax (CDN), 1989.

*   SIF input: Ph. Toint, Dec 1989.

*   classification NLR2-AN-2-2

$Set N 2
Set i /i1*i%N%/;

Positive Variable     x[i] ;
Variable              f    ;

Equation Eq_1, Eq_2, Def_obj ;
Eq_1..    (  x['i1']+2*x['i2']-7) =e= 0;
Eq_2..    (2*x['i1']+  x['i2']-5) =e= 0;
Def_obj.. f =e= 0;

Model booth /all/;

Solve booth using nlp minimize f;

display x.l;
display f.l;