#  NLP written by GAMS Convert at 01/12/18 13:47:06
#  
#  Equation counts
#      Total        E        G        L        N        X        C        B
#         47       35        0       12        0        0        0        0
#  
#  Variable counts
#                   x        b        i      s1s      s2s       sc       si
#      Total     cont   binary  integer     sos1     sos2    scont     sint
#         75       75        0        0        0        0        0        0
#  FX      0        0        0        0        0        0        0        0
#  
#  Nonzero counts
#      Total    const       NL      DLL
#        321      181      140        0
# 
#  Reformulation has removed 1 variable and 1 equation


var x1 >= 0, <= 1000000;
var x2 >= 0, <= 1000000;
var x3 >= 0, <= 1000000;
var x4 >= 0, <= 1000000;
var x5 >= 0, <= 1000000;
var x6 >= 0, <= 1000000;
var x7 >= 0, <= 1000000;
var x8 >= 0, <= 1000000;
var x9 >= 0, <= 1000000;
var x10 >= 0, <= 1000000;
var x11 >= 0, <= 1000000;
var x12 >= 0, <= 1000000;
var x13 >= 0, <= 1000000;
var x14 >= 0, <= 1000000;
var x15 >= 0, <= 1000000;
var x16 >= 0, <= 1000000;
var x17 >= 0, <= 1000000;
var x18 >= 0, <= 1000000;
var x19 >= 0, <= 1000000;
var x20 >= 0, <= 1000000;
var x21 >= 0, <= 1000000;
var x22 >= 0, <= 1000000;
var x23 >= 0, <= 1000000;
var x24 >= 0, <= 1000000;
var x25 >= 0, <= 1000000;
var x26 >= 0, <= 1000000;
var x27 >= 0, <= 1000000;
var x28 >= 0, <= 1000000;
var x29 >= 0, <= 1000000;
var x30 >= 0, <= 1000000;
var x31 >= 0, <= 1000000;
var x32 >= 0, <= 1000000;
var x33 >= 0, <= 1000000;
var x34 >= 0, <= 1000000;
var x35 >= 0, <= 1000000;
var x36 >= 0, <= 1000000;
var x37 >= 0, <= 1000000;
var x38 >= 0, <= 1000000;
var x39 >= 0, <= 1000000;
var x40 >= 0, <= 1000000;
var x41 >= 0, <= 1000000;
var x42 >= 0, <= 1000000;
var x43 >= 0, <= 1000000;
var x44 >= 0, <= 1000000;
var x45 >= 0, <= 1000000;
var x46 >= 0, <= 1000000;
var x47 >= 0, <= 1000000;
var x48 >= 0, <= 1000000;
var x49 >= 0, <= 1000000;
var x50 >= 0, <= 1000000;
var x51 >= 0, <= 1000000;
var x52 >= 0, <= 1000000;
var x53 >= 0, <= 1000000;
var x54 >= 0, <= 1000000;
var x55 >= 0, <= 1000000;
var x56 >= 0, <= 1000000;
var x57 >= 0, <= 1000000;
var x58 >= 0, <= 1000000;
var x59 >= 0, <= 1000000;
var x60 >= 0, <= 1000000;
var x61 >= 0, <= 1000000;
var x62 >= 0, <= 1000000;
var x63 >= 0, <= 1000000;
var x64 >= 0, <= 1000000;
var x65 >= 0, <= 1000000;
var x66 >= 0, <= 1000000;
var x67 >= 0, <= 1000000;
var x68 >= 0, <= 1000000;
var x69 >= 0, <= 1000000;
var x70 >= 0, <= 1000000;
var x71 >= 0, <= 1000000;
var x72 >= 0, <= 1000000;
var x73 >= 0, <= 1000000;
var x74 >= 0, <= 1000000;

minimize obj:    x70 + x71 + x72 + x73 + x74;

subject to

e2:  - x46 - x54 - x55 - x56 - x57 - x58 = -50;

e3:  - x47 - x59 - x60 - x61 - x62 - x63 = -120;

e4:  - x48 - x64 - x65 - x66 - x67 - x68 = -70;

e5:  - x21 - x26 - x31 - x36 - x41 - x54 - x59 - x64 + x70 = 0;

e6:  - x22 - x27 - x32 - x37 - x42 - x55 - x60 - x65 + x71 = 0;

e7:  - x23 - x28 - x33 - x38 - x43 - x56 - x61 - x66 + x72 = 0;

e8:  - x24 - x29 - x34 - x39 - x44 - x57 - x62 - x67 + x73 = 0;

e9:  - x25 - x30 - x35 - x40 - x45 - x58 - x63 - x68 + x74 = 0;

e10:  - x21 - x22 - x23 - x24 - x25 - x49 + x70 = 0;

e11:  - x26 - x27 - x28 - x29 - x30 - x50 + x71 = 0;

e12:  - x31 - x32 - x33 - x34 - x35 - x51 + x72 = 0;

e13:  - x36 - x37 - x38 - x39 - x40 - x52 + x73 = 0;

e14:  - x41 - x42 - x43 - x44 - x45 - x53 + x74 = 0;

e15:  - x46 - x47 - x48 - x49 - x50 - x51 - x52 - x53 + x69 = 0;

e16: x21*x11 + x26*x13 + x31*x15 + x36*x17 + x41*x19 - x70*x1 + 10*x54
      + 110*x59 + 100*x64 = 0;

e17: x21*x12 + x26*x14 + x31*x16 + x36*x18 + x41*x20 - x70*x2 + 200*x54
      + 140*x59 + 25*x64 = 0;

e18: x22*x11 + x27*x13 + x32*x15 + x37*x17 + x42*x19 - x71*x3 + 10*x55
      + 110*x60 + 100*x65 = 0;

e19: x22*x12 + x27*x14 + x32*x16 + x37*x18 + x42*x20 - x71*x4 + 200*x55
      + 140*x60 + 25*x65 = 0;

e20: x23*x11 + x28*x13 + x33*x15 + x38*x17 + x43*x19 - x72*x5 + 10*x56
      + 110*x61 + 100*x66 = 0;

e21: x23*x12 + x28*x14 + x33*x16 + x38*x18 + x43*x20 - x72*x6 + 200*x56
      + 140*x61 + 25*x66 = 0;

e22: x24*x11 + x29*x13 + x34*x15 + x39*x17 + x44*x19 - x73*x7 + 10*x57
      + 110*x62 + 100*x67 = 0;

e23: x24*x12 + x29*x14 + x34*x16 + x39*x18 + x44*x20 - x73*x8 + 200*x57
      + 140*x62 + 25*x67 = 0;

e24: x25*x11 + x30*x13 + x35*x15 + x40*x17 + x45*x19 - x74*x9 + 10*x58
      + 110*x63 + 100*x68 = 0;

e25: x25*x12 + x30*x14 + x35*x16 + x40*x18 + x45*x20 - x74*x10 + 200*x58
      + 140*x63 + 25*x68 = 0;

e26:    x1 <= 145;

e27:    x2 <= 400;

e28:    x3 <= 110;

e29:    x4 <= 90;

e30:    x5 <= 90;

e31:    x6 <= 100;

e32:    x7 <= 200;

e33:    x8 <= 90;

e34:    x9 <= 50;

e35:    x10 <= 80;

e36:  - 0.1*x1 + x11 = 0;

e37:  - x2 + x12 = 0;

e38:  - 0.3*x3 + x13 = 0;

e39:  - 0.1*x4 + x14 = 0;

e40:  - x5 + x15 = 0;

e41:  - 0.2*x6 + x16 = 0;

e42:  - 0.5*x7 + x17 = 0;

e43:  - x8 + x18 = 0;

e44:  - 0.35*x9 + x19 = 0;

e45:  - 0.4*x10 + x20 = 0;

e46: x49*x11 + x50*x13 + x51*x15 + x52*x17 + x53*x19 + 10*x46 + 110*x47
      + 100*x48 - 10*x69 <= 0;

e47: x49*x12 + x50*x14 + x51*x16 + x52*x18 + x53*x20 + 200*x46 + 140*x47
      + 25*x48 - 5*x69 <= 0;
