#  MINLP written by GAMS Convert at 01/12/18 13:29:57
#  
#  Equation counts
#      Total        E        G        L        N        X        C        B
#         20        7       12        1        0        0        0        0
#  
#  Variable counts
#                   x        b        i      s1s      s2s       sc       si
#      Total     cont   binary  integer     sos1     sos2    scont     sint
#         20       11        9        0        0        0        0        0
#  FX      0        0        0        0        0        0        0        0
#  
#  Nonzero counts
#      Total    const       NL      DLL
#         53       43       10        0
# 
#  Reformulation has removed 1 variable and 1 equation


var b1 binary >= 0, <= 1;
var b2 binary >= 0, <= 1;
var b3 binary >= 0, <= 1;
var b4 binary >= 0, <= 1;
var b5 binary >= 0, <= 1;
var b6 binary >= 0, <= 1;
var b7 binary >= 0, <= 1;
var b8 binary >= 0, <= 1;
var b9 binary >= 0, <= 1;
var x10 := 6.70502272492805, >= 5.52146091786225, <= 7.82404601085629;
var x11 := 7.11048783303622, >= 5.52146091786225, <= 7.82404601085629;
var x12 := 7.30700912709102, >= 5.52146091786225, <= 7.82404601085629;
var x13 := 5.92071476597113, >= 5.40367788220586, <= 6.4377516497364;
var x14 := 5.31872836380816, >= 4.60517018598809, <= 6.03228654162824;
var x15 := 1.89711998488588, >= 1.89711998488588, <= 2.99573227355399;
var x16 := 1.38629436111989, >= 1.38629436111989, <= 2.484906649788;
var x17 >= 0, <= 1.09861228866811;
var x18 >= 0, <= 1.09861228866811;
var x19 >= 0, <= 1.09861228866811;

minimize obj: 250*exp(0.6*x10 + x17) + 500*exp(0.6*x11 + x18) + 340*exp(0.6*x12
     + x19);

subject to

e1:    x10 - x13 >= 0.693147180559945;

e2:    x11 - x13 >= 1.09861228866811;

e3:    x12 - x13 >= 1.38629436111989;

e4:    x10 - x14 >= 1.38629436111989;

e5:    x11 - x14 >= 1.79175946922805;

e6:    x12 - x14 >= 1.09861228866811;

e7:    x15 + x17 >= 2.07944154167984;

e8:    x15 + x18 >= 2.99573227355399;

e9:    x15 + x19 >= 1.38629436111989;

e10:    x16 + x17 >= 2.30258509299405;

e11:    x16 + x18 >= 2.484906649788;

e12:    x16 + x19 >= 1.09861228866811;

e13: 200000*exp(x15 - x13) + 150000*exp(x16 - x14) <= 6000;

e14:  - 0.693147180559945*b4 - 1.09861228866811*b7 + x17 = 0;

e15:  - 0.693147180559945*b5 - 1.09861228866811*b8 + x18 = 0;

e16:  - 0.693147180559945*b6 - 1.09861228866811*b9 + x19 = 0;

e17:    b1 + b4 + b7 = 1;

e18:    b2 + b5 + b8 = 1;

e19:    b3 + b6 + b9 = 1;
