#  MINLP written by GAMS Convert at 01/12/18 13:31:56
#  
#  Equation counts
#      Total        E        G        L        N        X        C        B
#         31        1        2       28        0        0        0        0
#  
#  Variable counts
#                   x        b        i      s1s      s2s       sc       si
#      Total     cont   binary  integer     sos1     sos2    scont     sint
#         37       12       25        0        0        0        0        0
#  FX      0        0        0        0        0        0        0        0
#  
#  Nonzero counts
#      Total    const       NL      DLL
#        237      110      127        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 b10 binary >= 0, <= 1;
var b11 binary >= 0, <= 1;
var b12 binary >= 0, <= 1;
var b13 binary >= 0, <= 1;
var b14 binary >= 0, <= 1;
var b15 binary >= 0, <= 1;
var b16 binary >= 0, <= 1;
var b17 binary >= 0, <= 1;
var b18 binary >= 0, <= 1;
var b19 binary >= 0, <= 1;
var b20 binary >= 0, <= 1;
var b21 binary >= 0, <= 1;
var b22 binary >= 0, <= 1;
var b23 binary >= 0, <= 1;
var b24 binary >= 0, <= 1;
var b25 binary >= 0, <= 1;
var x26 := 2, >= 2, <= 4.5;
var x27 >= 0, <= 8;
var x28 := 8, >= 3, <= 9;
var x29 := 4, >= 0, <= 5;
var x30 := 4.5, >= 4, <= 10;
var x32 >= 0;
var x33 >= 0;
var x34 >= 0;
var x35 >= 0;
var x36 >= 0;
var x37 >= 0;

minimize obj: -(-0.6*x26^2 - 0.1*x29^2) - b1 - 0.2*b2 - b3 - 0.2*b4 - 0.9*b5
     - 0.9*b6 - 0.1*b7 - 0.8*b8 - b9 - 0.4*b10 - b11 - 0.3*b12 - 0.1*b13
     - 0.3*b14 - 0.5*b15 - 0.9*b16 - 0.8*b17 - 0.1*b18 - 0.9*b19 - b20 - b21
     - b22 - 0.2*b23 - 0.7*b24 - 0.7*b25 - 0.9*x27 - 0.5*x28 + x30 + 1000*x32
     + 1000*x33 + 1000*x34 + 1000*x35 + 1000*x36 + 1000*x37;

subject to

e1: 9.57*(-2.26 + x26)^2 + 2.74*(-5.15 + x27)^2 + 9.75*(-4.03 + x28)^2 + 3.96*(
    -1.74 + x29)^2 + 8.67*(-4.74 + x30)^2 + 1000*b1 - x32 <= 1077.839848;

e2: 8.38*(-5.51 + x26)^2 + 3.93*(-9.01 + x27)^2 + 5.18*(-3.84 + x28)^2 + 5.2*(-
    1.47 + x29)^2 + 7.82*(-9.92 + x30)^2 + 1000*b2 - x32 <= 1175.970966;

e3: 9.81*(-4.06 + x26)^2 + 0.04*(-1.8 + x27)^2 + 4.21*(-0.71 + x28)^2 + 7.38*(-
    9.09 + x29)^2 + 4.11*(-8.13 + x30)^2 + 1000*b3 - x32 <= 1201.822621;

e4: 7.41*(-6.3 + x26)^2 + 6.08*(-0.11 + x27)^2 + 5.46*(-4.08 + x28)^2 + 4.86*(-
    7.29 + x29)^2 + 1.48*(-4.24 + x30)^2 + 1000*b4 - x32 <= 1143.953331;

e5: 9.96*(-2.81 + x26)^2 + 9.13*(-1.65 + x27)^2 + 2.95*(-8.08 + x28)^2 + 8.25*(
    -3.99 + x29)^2 + 3.58*(-3.51 + x30)^2 + 1000*b5 - x32 <= 1154.389533;

e6: 9.39*(-4.29 + x26)^2 + 4.27*(-9.49 + x27)^2 + 5.09*(-2.24 + x28)^2 + 1.81*(
    -9.78 + x29)^2 + 7.58*(-1.52 + x30)^2 + 1000*b6 - x32 <= 1433.317653;

e7: 1.88*(-9.76 + x26)^2 + 7.2*(-3.64 + x27)^2 + 6.65*(-6.62 + x28)^2 + 1.74*(-
    3.66 + x29)^2 + 2.86*(-9.08 + x30)^2 + 1000*b7 - x32 <= 1109.07636;

e8: 4.01*(-1.37 + x26)^2 + 2.67*(-6.99 + x27)^2 + 4.86*(-7.19 + x28)^2 + 2.55*(
    -3.03 + x29)^2 + 6.91*(-3.39 + x30)^2 + 1000*b8 - x32 <= 1041.595916;

e9: 4.18*(-8.89 + x26)^2 + 1.92*(-8.29 + x27)^2 + 2.6*(-6.05 + x28)^2 + 7.15*(-
    7.48 + x29)^2 + 2.86*(-4.09 + x30)^2 + 1000*b9 - x32 <= 1144.062266;

e10: 7.81*(-7.42 + x26)^2 + 2.14*(-4.6 + x27)^2 + 9.63*(-0.3 + x28)^2 + 7.61*(-
     0.97 + x29)^2 + 9.17*(-8.77 + x30)^2 + 1000*b10 - x32 <= 1099.834164;

e11: 8.96*(-1.54 + x26)^2 + 3.47*(-7.06 + x27)^2 + 5.49*(-0.01 + x28)^2 + 4.73*
     (-1.23 + x29)^2 + 9.43*(-3.11 + x30)^2 + 1000*b11 - x32 <= 1149.179125;

e12: 9.94*(-7.74 + x26)^2 + 1.63*(-4.4 + x27)^2 + 1.23*(-7.93 + x28)^2 + 4.33*(
     -5.95 + x29)^2 + 7.08*(-4.88 + x30)^2 + 1000*b12 - x32 <= 1123.807402;

e13: 0.31*(-9.94 + x26)^2 + 5*(-5.21 + x27)^2 + 0.16*(-8.58 + x28)^2 + 2.52*(-
     0.13 + x29)^2 + 3.08*(-4.57 + x30)^2 + 1000*b13 - x32 <= 1027.221972;

e14: 6.02*(-9.54 + x26)^2 + 0.92*(-1.57 + x27)^2 + 7.47*(-9.66 + x28)^2 + 9.74*
     (-5.24 + x29)^2 + 1.76*(-7.9 + x30)^2 + 1000*b14 - x32 <= 1089.926827;

e15: 5.06*(-7.46 + x26)^2 + 4.52*(-8.81 + x27)^2 + 1.89*(-1.67 + x28)^2 + 1.22*
     (-6.47 + x29)^2 + 9.05*(-1.81 + x30)^2 + 1000*b15 - x32 <= 1293.076557;

e16: 5.92*(-0.56 + x26)^2 + 2.56*(-8.1 + x27)^2 + 7.74*(-0.19 + x28)^2 + 6.96*(
     -6.11 + x29)^2 + 5.18*(-6.4 + x30)^2 + 1000*b16 - x32 <= 1174.31702;

e17: 6.45*(-3.86 + x26)^2 + 1.52*(-6.68 + x27)^2 + 0.06*(-6.42 + x28)^2 + 5.34*
     (-7.29 + x29)^2 + 8.47*(-4.66 + x30)^2 + 1000*b17 - x32 <= 1125.102783;

e18: 1.04*(-2.98 + x26)^2 + 1.36*(-2.98 + x27)^2 + 5.99*(-3.03 + x28)^2 + 8.1*(
     -0.02 + x29)^2 + 5.22*(-0.67 + x30)^2 + 1000*b18 - x32 <= 1222.841697;

e19: 1.4*(-3.61 + x26)^2 + 1.35*(-7.62 + x27)^2 + 0.59*(-1.79 + x28)^2 + 8.58*(
     -7.8 + x29)^2 + 1.21*(-9.81 + x30)^2 + 1000*b19 - x32 <= 1050.485931;

e20: 6.68*(-5.68 + x26)^2 + 9.48*(-4.24 + x27)^2 + 1.6*(-4.17 + x28)^2 + 6.74*(
     -6.75 + x29)^2 + 8.92*(-1.08 + x30)^2 + 1000*b20 - x32 <= 1361.197344;

e21: 1.95*(-5.48 + x26)^2 + 0.46*(-3.74 + x27)^2 + 2.9*(-3.34 + x28)^2 + 1.79*(
     -6.22 + x29)^2 + 0.99*(-7.94 + x30)^2 + 1000*b21 - x32 <= 1040.326419;

e22: 5.18*(-8.13 + x26)^2 + 5.1*(-8.72 + x27)^2 + 8.81*(-3.93 + x28)^2 + 3.27*(
     -8.8 + x29)^2 + 9.63*(-8.56 + x30)^2 + 1000*b22 - x32 <= 1161.851799;

e23: 1.47*(-1.37 + x26)^2 + 5.71*(-0.54 + x27)^2 + 6.95*(-1.55 + x28)^2 + 1.42*
     (-5.56 + x29)^2 + 3.49*(-5.85 + x30)^2 + 1000*b23 - x32 <= 1066.858266;

e24: 5.4*(-8.79 + x26)^2 + 3.12*(-5.04 + x27)^2 + 5.37*(-4.83 + x28)^2 + 6.1*(-
     6.94 + x29)^2 + 3.71*(-0.38 + x30)^2 + 1000*b24 - x32 <= 1340.580732;

e25: 6.32*(-2.66 + x26)^2 + 0.81*(-4.19 + x27)^2 + 6.12*(-6.49 + x28)^2 + 6.73*
     (-8.04 + x29)^2 + 7.93*(-1.66 + x30)^2 + 1000*b25 - x32 <= 1407.519966;

e26:    x26 - x27 + x28 + x29 + x30 - x33 <= 10;

e27:    0.6*x26 - 0.9*x27 - 0.5*x28 + 0.1*x29 + x30 - x34 <= -0.64;

e28:    x26 - x27 + x28 - x29 + x30 + x35 >= 0.69;

e29:    0.157*x26 + 0.05*x27 - x36 <= 1.5;

e30:    0.25*x27 + 1.05*x29 - 0.3*x30 - x37 >= 4.5;
