$ontext

Purpose: To provide a GAMS formulation for the collection
of Gupta Problems

Reference: Branch and bound experiments in convex nonlinear
integer programming, Management Science, 1533-1546, 31, 1985.

$offtext

Variables  i1,i2,i3,objvar;

Integer Variables i1,i2,i3;

Equations  e1,e2,e3;


e1.. i2*sqr(i3) + 5*i3 + 3*i1 =G= 10;

e2..    i1 - i3 =G= 2.66;

e3..  - 2*sqr(i2) - i1 - 5*i3 + objvar =E= 0;

* set non default bounds

i1.up = 200; 
i2.up = 200; 
i3.up = 200; 

* set non default levels

i1.l = 1; 
i2.l = 1; 
i3.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 MINLP minimizing objvar;