#  MINLP written by GAMS Convert at 01/12/18 13:30:48
#  
#  Equation counts
#      Total        E        G        L        N        X        C        B
#          2        1        0        1        0        0        0        0
#  
#  Variable counts
#                   x        b        i      s1s      s2s       sc       si
#      Total     cont   binary  integer     sos1     sos2    scont     sint
#         21       11        0       10        0        0        0        0
#  FX      0        0        0        0        0        0        0        0
#  
#  Nonzero counts
#      Total    const       NL      DLL
#         41       21       20        0
# 
#  Reformulation has removed 1 variable and 1 equation


var i1 integer >= 0, <= 5;
var i2 integer >= 0, <= 5;
var i3 integer >= 0, <= 5;
var i4 integer >= 0, <= 5;
var i5 integer >= 0, <= 5;
var i6 integer >= 0, <= 5;
var i7 integer >= 0, <= 5;
var i8 integer >= 0, <= 5;
var i9 integer >= 0, <= 5;
var i10 integer >= 0, <= 5;
var x11 >= 0, <= 5;
var x12 >= 0, <= 5;
var x13 >= 0, <= 5;
var x14 >= 0, <= 5;
var x15 >= 0, <= 5;
var x16 >= 0, <= 5;
var x17 >= 0, <= 5;
var x18 >= 0, <= 5;
var x19 >= 0, <= 5;
var x20 >= 0, <= 5;

minimize obj:  - 0.175*i1 - 0.39*i2 - 0.83*i3 - 0.805*i4 - 0.06*i5 - 0.4*i6
     - 0.52*i7 - 0.415*i8 - 0.655*i9 - 0.63*i10 - 0.29*x11 - 0.43*x12
     - 0.015*x13 - 0.985*x14 - 0.165*x15 - 0.105*x16 - 0.37*x17 - 0.2*x18
     - 0.49*x19 - 0.34*x20;

subject to

e1: sqrt(0.0001 + i1^2 + i2^2 + i3^2 + i4^2 + i5^2 + i6^2 + i7^2 + i8^2 + i9^2
     + i10^2 + x11^2 + x12^2 + x13^2 + x14^2 + x15^2 + x16^2 + x17^2 + x18^2 + 
    x19^2 + x20^2) <= 10;