*  NLP written by GAMS Convert at 03/28/07 20:22:51
*  
*  Equation counts
*      Total        E        G        L        N        X        C
*          9        1        0        8        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*          4        4        0        0        0        0        0        0
*  FX      0        0        0        0        0        0        0        0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*         28       28        0        0
*
*  Solve m using NLP minimizing objvar;


Variables  x1,x2,x3,objvar;

Equations  e1,e2,e3,e4,e5,e6,e7,e8,e9;


e1..  - x1 - x2 - x3 =L= -1;

e2..  - 2*x1 - 2*x2 - 2*x3 =L= -1;

e3..  - 2*x1 - 2*x2 - 2*x3 =L= -1;

e4..  - 2*x1 - 3*x2 - 4*x3 =L= -1;

e5..    x1 + x2 + x3 =L= 31;

e6..    2*x1 + 2*x2 + 2*x3 =L= 32;

e7..    2*x1 + 2*x2 + 2*x3 =L= 32;

e8..    2*x1 + 3*x2 + 4*x3 =L= 32;

e9..  - 12*x1 - 13*x2 - 12*x3 + objvar =E= 0;

* set non default bounds

x1.lo = 1; x1.up = 4; 
x2.lo = 1; x2.up = 4; 
x3.lo = 1; x3.up = 4; 

* set non default levels

x1.l = 1; 
x2.l = 1; 
x3.l = 1; 

* set non default marginals


Model m / all /;

m.limrow=0; m.limcol=0;

$if NOT '%gams.u1%' == '' $include %gams.u1%

Solve m using NLP minimizing objvar;