#  NLP written by GAMS Convert at 01/12/18 13:52:10
#  
#  Equation counts
#      Total        E        G        L        N        X        C        B
#        136       63       18       55        0        0        0        0
#  
#  Variable counts
#                   x        b        i      s1s      s2s       sc       si
#      Total     cont   binary  integer     sos1     sos2    scont     sint
#        126      126        0        0        0        0        0        0
#  FX      0        0        0        0        0        0        0        0
#  
#  Nonzero counts
#      Total    const       NL      DLL
#        828      372      456        0
# 
#  Reformulation has removed 1 variable and 1 equation


var x2 >= 0, <= 100000;
var x3 >= 0, <= 100000;
var x4 >= 0, <= 100000;
var x5 >= 0, <= 100000;
var x6 >= 0, <= 100000;
var x7 >= 0, <= 100000;
var x8 >= 0, <= 100000;
var x9 >= 0, <= 100000;
var x10 >= 0, <= 100000;
var x11 >= 0, <= 100000;
var x12 >= 0, <= 100000;
var x13 >= 0, <= 100000;
var x14 >= 0, <= 100000;
var x15 >= 0, <= 100000;
var x16 >= 0, <= 100000;
var x17 >= 0, <= 100000;
var x18 >= 0, <= 100000;
var x19 >= 0, <= 100000;
var x20 >= 0, <= 100000;
var x21 >= 0, <= 100000;
var x22 >= 0, <= 100000;
var x23 >= 0, <= 100000;
var x24 >= 0, <= 100000;
var x25 >= 0, <= 100000;
var x26 >= 0, <= 100000;
var x27 >= 0, <= 100000;
var x28 >= 0, <= 100000;
var x29 >= 0, <= 100000;
var x30 >= 0, <= 100000;
var x31 >= 0, <= 100000;
var x32 >= 0, <= 100000;
var x33 >= 0, <= 100000;
var x34 >= 0, <= 100000;
var x35 >= 0, <= 100000;
var x36 >= 0, <= 100000;
var x37 >= 0, <= 100000;
var x38 >= 0, <= 100000;
var x39 >= 0, <= 100000;
var x40 >= 0, <= 100000;
var x41 >= 0, <= 100000;
var x42 >= 0, <= 100000;
var x43 >= 0, <= 100000;
var x44 >= 0, <= 100000;
var x45 >= 0, <= 100000;
var x46 >= 0, <= 100000;
var x47 >= 0, <= 100000;
var x48 >= 0, <= 100000;
var x49 >= 0, <= 100000;
var x50 >= 0, <= 100000;
var x51 >= 0, <= 100000;
var x52 >= 0, <= 100000;
var x53 >= 0, <= 100000;
var x54 >= 0, <= 100000;
var x55 >= 0, <= 100000;
var x56 >= 0, <= 100000;
var x57 >= 0, <= 100000;
var x58 >= 0, <= 100000;
var x59 >= 0, <= 100000;
var x60 >= 0, <= 100000;
var x61 >= 0, <= 100000;
var x62 >= 0, <= 100000;
var x63 >= 0, <= 100000;
var x64 >= 0, <= 100000;
var x65 >= 0, <= 100000;
var x66 >= 0, <= 100000;
var x67 >= 0, <= 100000;
var x68 >= 0, <= 100000;
var x69 >= 0, <= 100000;
var x70 >= 0, <= 100000;
var x71 >= 0, <= 100000;
var x72 >= 0, <= 100000;
var x73 >= 0, <= 100000;
var x74 >= 0, <= 100000;
var x75 >= 0, <= 100000;
var x76 >= 0, <= 100000;
var x77 >= 0, <= 100000;
var x78 >= 0, <= 100000;
var x79 >= 0, <= 100000;
var x80 >= 0, <= 100000;
var x81 >= 0, <= 100000;
var x82 >= 0, <= 100000;
var x83 >= 0, <= 100000;
var x84 >= 0, <= 100000;
var x85 >= 0, <= 100000;
var x86 >= 0, <= 100000;
var x87 >= 0, <= 100000;
var x88 >= 0, <= 100000;
var x89 >= 0, <= 100000;
var x90 >= 0, <= 100000;
var x91 >= 0, <= 100000;
var x92 >= 0, <= 100000;
var x93 >= 0, <= 100000;
var x94 >= 0, <= 100000;
var x95 >= 0, <= 100000;
var x96 >= 0, <= 100000;
var x97 >= 0, <= 100000;
var x98 >= 0, <= 100000;
var x99 >= 0, <= 100000;
var x100 >= 0, <= 100000;
var x101 >= 0, <= 100000;
var x102 >= 0, <= 100000;
var x103 >= 0, <= 100000;
var x104 >= 0, <= 100000;
var x105 >= 0, <= 100000;
var x106 >= 0, <= 100000;
var x107 >= 0, <= 100000;
var x108 >= 0, <= 100000;
var x109 >= 0, <= 100000;
var x110 >= 0, <= 100000;
var x111 >= 0, <= 100000;
var x112 >= 0, <= 100000;
var x113 >= 0, <= 100000;
var x114 >= 0, <= 100000;
var x115 >= 0, <= 100000;
var x116 >= 0, <= 100000;
var x117 >= 0, <= 100000;
var x118 >= 0, <= 100000;
var x119 >= 0, <= 100000;
var x120 >= 0, <= 100000;
var x121 >= 0, <= 100000;
var x122 >= 0, <= 100000;
var x123 >= 0, <= 100000;
var x124 >= 0, <= 100000;
var x125 >= 0, <= 100000;
var x126 >= 0, <= 100000;

minimize obj:    x2 + x3 + x4 + x5 + x6 + x7 + x8 + x9 + x10 + x11 + x12 + x13
     + x14 + x15;

subject to

e2:  - x2 - x9 + x16 - x30 - x37 - x44 - x51 - x58 - x65 - x72 = 0;

e3:  - x3 - x10 + x17 - x31 - x38 - x45 - x52 - x59 - x66 - x73 = 0;

e4:  - x4 - x11 + x18 - x32 - x39 - x46 - x53 - x60 - x67 - x74 = 0;

e5:  - x5 - x12 + x19 - x33 - x40 - x47 - x54 - x61 - x68 - x75 = 0;

e6:  - x6 - x13 - x34 - x41 - x48 - x55 - x62 - x69 - x76 = -20;

e7:  - x7 - x14 - x35 - x42 - x49 - x56 - x63 - x70 - x77 = -60;

e8:  - x8 - x15 - x36 - x43 - x50 - x57 - x64 - x71 - x78 = -70;

e9:    x16 - x23 - x30 - x31 - x32 - x33 - x34 - x35 - x36 = 0;

e10:    x17 - x24 - x37 - x38 - x39 - x40 - x41 - x42 - x43 = 0;

e11:    x18 - x25 - x44 - x45 - x46 - x47 - x48 - x49 - x50 = 0;

e12:    x19 - x26 - x51 - x52 - x53 - x54 - x55 - x56 - x57 = 0;

e13:  - x27 - x58 - x59 - x60 - x61 - x62 - x63 - x64 = -30;

e14:  - x28 - x65 - x66 - x67 - x68 - x69 - x70 - x71 = -70;

e15:  - x29 - x72 - x73 - x74 - x75 - x76 - x77 - x78 = -40;

e16: x16*x79 - (x30*x103 + x37*x109 + x44*x115 + x51*x121) - 15*x9 - 300*x58
      - 400*x65 - 90*x72 = 0;

e17: x16*x80 - (x30*x104 + x37*x110 + x44*x116 + x51*x122) - 25*x2 - 140*x58
      - 155*x65 - 100*x72 = 0;

e18: x16*x81 - (x30*x105 + x37*x111 + x44*x117 + x51*x123) - 2*x2 - 200*x58
      - 180*x65 - 300*x72 = 0;

e19: x16*x82 - (x30*x106 + x37*x112 + x44*x118 + x51*x124) - 4*x2 - 9*x9
      - 170*x58 - 220*x65 - 220*x72 = 0;

e20: x16*x83 - (x30*x107 + x37*x113 + x44*x119 + x51*x125) - 3*x9 - 130*x58
      - 110*x65 - 80*x72 = 0;

e21: x16*x84 - (x30*x108 + x37*x114 + x44*x120 + x51*x126) - 2*x2 - 200*x58
      - 190*x65 - 115*x72 = 0;

e22: x17*x85 - (x31*x103 + x38*x109 + x45*x115 + x52*x121) - 15*x10 - 300*x59
      - 400*x66 - 90*x73 = 0;

e23: x17*x86 - (x31*x104 + x38*x110 + x45*x116 + x52*x122) - 25*x3 - 140*x59
      - 155*x66 - 100*x73 = 0;

e24: x17*x87 - (x31*x105 + x38*x111 + x45*x117 + x52*x123) - 2*x3 - 200*x59
      - 180*x66 - 300*x73 = 0;

e25: x17*x88 - (x31*x106 + x38*x112 + x45*x118 + x52*x124) - 4*x3 - 9*x10
      - 170*x59 - 220*x66 - 220*x73 = 0;

e26: x17*x89 - (x31*x107 + x38*x113 + x45*x119 + x52*x125) - 3*x10 - 130*x59
      - 110*x66 - 80*x73 = 0;

e27: x17*x90 - (x31*x108 + x38*x114 + x45*x120 + x52*x126) - 2*x3 - 200*x59
      - 190*x66 - 115*x73 = 0;

e28: x18*x91 - (x32*x103 + x39*x109 + x46*x115 + x53*x121) - 15*x11 - 300*x60
      - 400*x67 - 90*x74 = 0;

e29: x18*x92 - (x32*x104 + x39*x110 + x46*x116 + x53*x122) - 25*x4 - 140*x60
      - 155*x67 - 100*x74 = 0;

e30: x18*x93 - (x32*x105 + x39*x111 + x46*x117 + x53*x123) - 2*x4 - 200*x60
      - 180*x67 - 300*x74 = 0;

e31: x18*x94 - (x32*x106 + x39*x112 + x46*x118 + x53*x124) - 4*x4 - 9*x11
      - 170*x60 - 220*x67 - 220*x74 = 0;

e32: x18*x95 - (x32*x107 + x39*x113 + x46*x119 + x53*x125) - 3*x11 - 130*x60
      - 110*x67 - 80*x74 = 0;

e33: x18*x96 - (x32*x108 + x39*x114 + x46*x120 + x53*x126) - 2*x4 - 200*x60
      - 190*x67 - 115*x74 = 0;

e34: x19*x97 - (x33*x103 + x40*x109 + x47*x115 + x54*x121) - 15*x12 - 300*x61
      - 400*x68 - 90*x75 = 0;

e35: x19*x98 - (x33*x104 + x40*x110 + x47*x116 + x54*x122) - 25*x5 - 140*x61
      - 155*x68 - 100*x75 = 0;

e36: x19*x99 - (x33*x105 + x40*x111 + x47*x117 + x54*x123) - 2*x5 - 200*x61
      - 180*x68 - 300*x75 = 0;

e37: x19*x100 - (x33*x106 + x40*x112 + x47*x118 + x54*x124) - 4*x5 - 9*x12
      - 170*x61 - 220*x68 - 220*x75 = 0;

e38: x19*x101 - (x33*x107 + x40*x113 + x47*x119 + x54*x125) - 3*x12 - 130*x61
      - 110*x68 - 80*x75 = 0;

e39: x19*x102 - (x33*x108 + x40*x114 + x47*x120 + x54*x126) - 2*x5 - 200*x61
      - 190*x68 - 115*x75 = 0;

e40: -x16*(x103 - x79) = -10560;

e41: -x16*(x104 - x80) = -4320;

e42: -x16*(x105 - x81) = -4560;

e43: -x16*(x106 - x82) = -12000;

e44: -x16*(x107 - x83) = -3960;

e45: -x16*(x108 - x84) = -6000;

e46: -x17*(x109 - x85) = -2400;

e47: -x17*(x110 - x86) = -3400;

e48: -x17*(x111 - x87) = -1150;

e49: -x17*(x112 - x88) = -5000;

e50: -x17*(x113 - x89) = -2000;

e51: -x17*(x114 - x90) = -5000;

e52: -x18*(x115 - x91) = -7200;

e53: -x18*(x116 - x92) = -2400;

e54: -x18*(x117 - x93) = -2880;

e55: -x18*(x118 - x94) = -8000;

e56: -x18*(x119 - x95) = -4000;

e57: -x18*(x120 - x96) = -2400;

e58: -x19*(x121 - x97) = -9000;

e59: -x19*(x122 - x98) = -14130;

e60: -x19*(x123 - x99) = -11700;

e61: -x19*(x124 - x100) = -9000;

e62: -x19*(x125 - x101) = -5400;

e63: -x19*(x126 - x102) = -18000;

e64:    x79 <= 112;

e65:    x80 <= 54;

e66:    x81 <= 12;

e67:    x82 <= 134;

e68:    x83 <= 12;

e69:    x84 <= 30;

e70:    x85 <= 32;

e71:    x86 <= 12;

e72:    x87 <= 47;

e73:    x88 <= 56;

e74:    x89 <= 40;

e75:    x90 <= 100;

e76:    x91 <= 10;

e77:    x92 <= 80;

e78:    x93 <= 54;

e79:    x94 <= 39;

e80:    x95 <= 80;

e81:    x96 <= 60;

e82:    x97 <= 45;

e83:    x98 <= 93;

e84:    x99 <= 70;

e85:    x100 <= 177;

e86:    x101 <= 20;

e87:    x102 <= 20;

e88:    x103 <= 200;

e89:    x104 <= 90;

e90:    x105 <= 50;

e91:    x106 <= 234;

e92:    x107 <= 45;

e93:    x108 <= 80;

e94:    x109 <= 80;

e95:    x110 <= 80;

e96:    x111 <= 70;

e97:    x112 <= 156;

e98:    x113 <= 80;

e99:    x114 <= 200;

e100:    x115 <= 100;

e101:    x116 <= 110;

e102:    x117 <= 90;

e103:    x118 <= 139;

e104:    x119 <= 130;

e105:    x120 <= 90;

e106:    x121 <= 145;

e107:    x122 <= 250;

e108:    x123 <= 200;

e109:    x124 <= 277;

e110:    x125 <= 80;

e111:    x126 <= 220;

e112: -(x34*x103 + x41*x109 + x48*x115 + x55*x121) - 15*x13 - 300*x62 - 400*x69
       - 90*x76 >= -4000;

e113: -(x34*x104 + x41*x110 + x48*x116 + x55*x122) - 25*x6 - 140*x62 - 155*x69
       - 100*x76 >= -800;

e114: -(x34*x105 + x41*x111 + x48*x117 + x55*x123) - 2*x6 - 200*x62 - 180*x69
       - 300*x76 >= -600;

e115: -(x34*x106 + x41*x112 + x48*x118 + x55*x124) - 4*x6 - 9*x13 - 170*x62
       - 220*x69 - 220*x76 >= -1600;

e116: -(x34*x107 + x41*x113 + x48*x119 + x55*x125) - 3*x13 - 130*x62 - 110*x69
       - 80*x76 >= -600;

e117: -(x34*x108 + x41*x114 + x48*x120 + x55*x126) - 2*x6 - 200*x62 - 190*x69
       - 115*x76 >= -2000;

e118: -(x35*x103 + x42*x109 + x49*x115 + x56*x121) - 15*x14 - 300*x63 - 400*x70
       - 90*x77 >= -18000;

e119: -(x35*x104 + x42*x110 + x49*x116 + x56*x122) - 25*x7 - 140*x63 - 155*x70
       - 100*x77 >= -3300;

e120: -(x35*x105 + x42*x111 + x49*x117 + x56*x123) - 2*x7 - 200*x63 - 180*x70
       - 300*x77 >= -4800;

e121: -(x35*x106 + x42*x112 + x49*x118 + x56*x124) - 4*x7 - 9*x14 - 170*x63
       - 220*x70 - 220*x77 >= -7200;

e122: -(x35*x107 + x42*x113 + x49*x119 + x56*x125) - 3*x14 - 130*x63 - 110*x70
       - 80*x77 >= -3600;

e123: -(x35*x108 + x42*x114 + x49*x120 + x56*x126) - 2*x7 - 200*x63 - 190*x70
       - 115*x77 >= -5400;

e124: -(x36*x103 + x43*x109 + x50*x115 + x57*x121) - 15*x15 - 300*x64 - 400*x71
       - 90*x78 >= -1400;

e125: -(x36*x104 + x43*x110 + x50*x116 + x57*x122) - 25*x8 - 140*x64 - 155*x71
       - 100*x78 >= -1750;

e126: -(x36*x105 + x43*x111 + x50*x117 + x57*x123) - 2*x8 - 200*x64 - 180*x71
       - 300*x78 >= -7000;

e127: -(x36*x106 + x43*x112 + x50*x118 + x57*x124) - 4*x8 - 9*x15 - 170*x64
       - 220*x71 - 220*x78 >= -1400;

e128: -(x36*x107 + x43*x113 + x50*x119 + x57*x125) - 3*x15 - 130*x64 - 110*x71
       - 80*x78 >= -2800;

e129: -(x36*x108 + x43*x114 + x50*x120 + x57*x126) - 2*x8 - 200*x64 - 190*x71
       - 115*x78 >= -3150;

e130:    x16 <= 120;

e131:    x17 <= 50;

e132:    x18 <= 80;

e133:    x19 <= 90;

e134:    x20 <= 0;

e135:    x21 <= 0;

e136:    x22 <= 0;