#  NLP written by GAMS Convert at 01/12/18 13:52:11
#  
#  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
#        147      147        0        0        0        0        0        0
#  FX      0        0        0        0        0        0        0        0
#  
#  Nonzero counts
#      Total    const       NL      DLL
#       1017      561      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;
var x127 >= 0, <= 100000;
var x128 >= 0, <= 100000;
var x129 >= 0, <= 100000;
var x130 >= 0, <= 100000;
var x131 >= 0, <= 100000;
var x132 >= 0, <= 100000;
var x133 >= 0, <= 100000;
var x134 >= 0, <= 100000;
var x135 >= 0, <= 100000;
var x136 >= 0, <= 100000;
var x137 >= 0, <= 100000;
var x138 >= 0, <= 100000;
var x139 >= 0, <= 100000;
var x140 >= 0, <= 100000;
var x141 >= 0, <= 100000;
var x142 >= 0, <= 100000;
var x143 >= 0, <= 100000;
var x144 >= 0, <= 100000;
var x145 >= 0, <= 100000;
var x146 >= 0, <= 100000;
var x147 >= 0, <= 100000;

minimize obj:    x2 + x3 + x4 + x5 + x6 + x7 + x8 + x9 + x10 + x11 + x12 + x13
     + x14 + x15 + x16 + x17 + x18 + x19 + x20 + x21 + x22 + x23 + x24 + x25
     + x26 + x27 + x28 + x29 + x30 + x31 + x32 + x33 + x34 + x35 + x36;

subject to

e2:  - x2 - x9 - x16 - x23 - x30 + x37 - x51 - x58 - x65 - x72 - x79 - x86
     - x93 = 0;

e3:  - x3 - x10 - x17 - x24 - x31 + x38 - x52 - x59 - x66 - x73 - x80 - x87
     - x94 = 0;

e4:  - x4 - x11 - x18 - x25 - x32 + x39 - x53 - x60 - x67 - x74 - x81 - x88
     - x95 = 0;

e5:  - x5 - x12 - x19 - x26 - x33 + x40 - x54 - x61 - x68 - x75 - x82 - x89
     - x96 = 0;

e6:  - x6 - x13 - x20 - x27 - x34 - x55 - x62 - x69 - x76 - x83 - x90 - x97
     = -80;

e7:  - x7 - x14 - x21 - x28 - x35 - x56 - x63 - x70 - x77 - x84 - x91 - x98
     = -80;

e8:  - x8 - x15 - x22 - x29 - x36 - x57 - x64 - x71 - x78 - x85 - x92 - x99
     = -70;

e9:    x37 - x44 - x51 - x52 - x53 - x54 - x55 - x56 - x57 = 0;

e10:    x38 - x45 - x58 - x59 - x60 - x61 - x62 - x63 - x64 = 0;

e11:    x39 - x46 - x65 - x66 - x67 - x68 - x69 - x70 - x71 = 0;

e12:    x40 - x47 - x72 - x73 - x74 - x75 - x76 - x77 - x78 = 0;

e13:  - x48 - x79 - x80 - x81 - x82 - x83 - x84 - x85 = -30;

e14:  - x49 - x86 - x87 - x88 - x89 - x90 - x91 - x92 = -100;

e15:  - x50 - x93 - x94 - x95 - x96 - x97 - x98 - x99 = -90;

e16: x37*x100 - (x51*x124 + x58*x130 + x65*x136 + x72*x142) - x2 - 6*x9 - 4*x16
      - 7*x23 - 6*x30 - 421*x79 - 112*x86 - 491*x93 = 0;

e17: x37*x101 - (x51*x125 + x58*x131 + x65*x137 + x72*x143) - 2*x2 - 2*x9
      - 8*x16 - 9*x23 - 9*x30 - 316*x79 - 429*x86 - 476*x93 = 0;

e18: x37*x102 - (x51*x126 + x58*x132 + x65*x138 + x72*x144) - 2*x2 - 2*x9
      - 6*x16 - 5*x23 - 2*x30 - 391*x79 - 505*x86 - 197*x93 = 0;

e19: x37*x103 - (x51*x127 + x58*x133 + x65*x139 + x72*x145) - 5*x2 - 3*x9
      - 3*x16 - x23 - x30 - 352*x79 - 266*x86 - 493*x93 = 0;

e20: x37*x104 - (x51*x128 + x58*x134 + x65*x140 + x72*x146) - 2*x2 - 6*x9
      - 2*x16 - x23 - 6*x30 - 461*x79 - 481*x86 - 399*x93 = 0;

e21: x37*x105 - (x51*x129 + x58*x135 + x65*x141 + x72*x147) - 10*x2 - x16
      - 4*x30 - 489*x79 - 505*x86 - 495*x93 = 0;

e22: x38*x106 - (x52*x124 + x59*x130 + x66*x136 + x73*x142) - x3 - 6*x10
      - 4*x17 - 7*x24 - 6*x31 - 421*x80 - 112*x87 - 491*x94 = 0;

e23: x38*x107 - (x52*x125 + x59*x131 + x66*x137 + x73*x143) - 2*x3 - 2*x10
      - 8*x17 - 9*x24 - 9*x31 - 316*x80 - 429*x87 - 476*x94 = 0;

e24: x38*x108 - (x52*x126 + x59*x132 + x66*x138 + x73*x144) - 2*x3 - 2*x10
      - 6*x17 - 5*x24 - 2*x31 - 391*x80 - 505*x87 - 197*x94 = 0;

e25: x38*x109 - (x52*x127 + x59*x133 + x66*x139 + x73*x145) - 5*x3 - 3*x10
      - 3*x17 - x24 - x31 - 352*x80 - 266*x87 - 493*x94 = 0;

e26: x38*x110 - (x52*x128 + x59*x134 + x66*x140 + x73*x146) - 2*x3 - 6*x10
      - 2*x17 - x24 - 6*x31 - 461*x80 - 481*x87 - 399*x94 = 0;

e27: x38*x111 - (x52*x129 + x59*x135 + x66*x141 + x73*x147) - 10*x3 - x17
      - 4*x31 - 489*x80 - 505*x87 - 495*x94 = 0;

e28: x39*x112 - (x53*x124 + x60*x130 + x67*x136 + x74*x142) - x4 - 6*x11
      - 4*x18 - 7*x25 - 6*x32 - 421*x81 - 112*x88 - 491*x95 = 0;

e29: x39*x113 - (x53*x125 + x60*x131 + x67*x137 + x74*x143) - 2*x4 - 2*x11
      - 8*x18 - 9*x25 - 9*x32 - 316*x81 - 429*x88 - 476*x95 = 0;

e30: x39*x114 - (x53*x126 + x60*x132 + x67*x138 + x74*x144) - 2*x4 - 2*x11
      - 6*x18 - 5*x25 - 2*x32 - 391*x81 - 505*x88 - 197*x95 = 0;

e31: x39*x115 - (x53*x127 + x60*x133 + x67*x139 + x74*x145) - 5*x4 - 3*x11
      - 3*x18 - x25 - x32 - 352*x81 - 266*x88 - 493*x95 = 0;

e32: x39*x116 - (x53*x128 + x60*x134 + x67*x140 + x74*x146) - 2*x4 - 6*x11
      - 2*x18 - x25 - 6*x32 - 461*x81 - 481*x88 - 399*x95 = 0;

e33: x39*x117 - (x53*x129 + x60*x135 + x67*x141 + x74*x147) - 10*x4 - x18
      - 4*x32 - 489*x81 - 505*x88 - 495*x95 = 0;

e34: x40*x118 - (x54*x124 + x61*x130 + x68*x136 + x75*x142) - x5 - 6*x12
      - 4*x19 - 7*x26 - 6*x33 - 421*x82 - 112*x89 - 491*x96 = 0;

e35: x40*x119 - (x54*x125 + x61*x131 + x68*x137 + x75*x143) - 2*x5 - 2*x12
      - 8*x19 - 9*x26 - 9*x33 - 316*x82 - 429*x89 - 476*x96 = 0;

e36: x40*x120 - (x54*x126 + x61*x132 + x68*x138 + x75*x144) - 2*x5 - 2*x12
      - 6*x19 - 5*x26 - 2*x33 - 391*x82 - 505*x89 - 197*x96 = 0;

e37: x40*x121 - (x54*x127 + x61*x133 + x68*x139 + x75*x145) - 5*x5 - 3*x12
      - 3*x19 - x26 - x33 - 352*x82 - 266*x89 - 493*x96 = 0;

e38: x40*x122 - (x54*x128 + x61*x134 + x68*x140 + x75*x146) - 2*x5 - 6*x12
      - 2*x19 - x26 - 6*x33 - 461*x82 - 481*x89 - 399*x96 = 0;

e39: x40*x123 - (x54*x129 + x61*x135 + x68*x141 + x75*x147) - 10*x5 - x19
      - 4*x33 - 489*x82 - 505*x89 - 495*x96 = 0;

e40: -x37*(x124 - x100) = -19900;

e41: -x37*(x125 - x101) = -1700;

e42: -x37*(x126 - x102) = -19700;

e43: -x37*(x127 - x103) = -18600;

e44: -x37*(x128 - x104) = -47600;

e45: -x37*(x129 - x105) = -7300;

e46: -x38*(x130 - x106) = -6700;

e47: -x38*(x131 - x107) = -4300;

e48: -x38*(x132 - x108) = -7700;

e49: -x38*(x133 - x109) = -20800;

e50: -x38*(x134 - x110) = -5000;

e51: -x38*(x135 - x111) = -13600;

e52: -x39*(x136 - x112) = -8640;

e53: -x39*(x137 - x113) = -640;

e54: -x39*(x138 - x114) = -2000;

e55: -x39*(x139 - x115) = -600;

e56: -x39*(x140 - x116) = -7040;

e57: -x39*(x141 - x117) = -2480;

e58: -x40*(x142 - x118) = -12240;

e59: -x40*(x143 - x119) = -12420;

e60: -x40*(x144 - x120) = -3150;

e61: -x40*(x145 - x121) = -14400;

e62: -x40*(x146 - x122) = -810;

e63: -x40*(x147 - x123) = -15660;

e64:    x100 <= 65;

e65:    x101 <= 465;

e66:    x102 <= 166;

e67:    x103 <= 56;

e68:    x104 <= 33;

e69:    x105 <= 346;

e70:    x106 <= 448;

e71:    x107 <= 414;

e72:    x108 <= 268;

e73:    x109 <= 191;

e74:    x110 <= 350;

e75:    x111 <= 243;

e76:    x112 <= 171;

e77:    x113 <= 496;

e78:    x114 <= 406;

e79:    x115 <= 486;

e80:    x116 <= 323;

e81:    x117 <= 355;

e82:    x118 <= 139;

e83:    x119 <= 211;

e84:    x120 <= 469;

e85:    x121 <= 65;

e86:    x122 <= 259;

e87:    x123 <= 328;

e88:    x124 <= 264;

e89:    x125 <= 482;

e90:    x126 <= 363;

e91:    x127 <= 242;

e92:    x128 <= 509;

e93:    x129 <= 419;

e94:    x130 <= 515;

e95:    x131 <= 457;

e96:    x132 <= 345;

e97:    x133 <= 399;

e98:    x134 <= 400;

e99:    x135 <= 379;

e100:    x136 <= 387;

e101:    x137 <= 512;

e102:    x138 <= 456;

e103:    x139 <= 501;

e104:    x140 <= 499;

e105:    x141 <= 417;

e106:    x142 <= 275;

e107:    x143 <= 349;

e108:    x144 <= 504;

e109:    x145 <= 225;

e110:    x146 <= 268;

e111:    x147 <= 502;

e112: -(x55*x124 + x62*x130 + x69*x136 + x76*x142) - x6 - 6*x13 - 4*x20 - 7*x27
       - 6*x34 - 421*x83 - 112*x90 - 491*x97 >= -25520;

e113: -(x55*x125 + x62*x131 + x69*x137 + x76*x143) - 2*x6 - 2*x13 - 8*x20
       - 9*x27 - 9*x34 - 316*x83 - 429*x90 - 476*x97 >= -24240;

e114: -(x55*x126 + x62*x132 + x69*x138 + x76*x144) - 2*x6 - 2*x13 - 6*x20
       - 5*x27 - 2*x34 - 391*x83 - 505*x90 - 197*x97 >= -18320;

e115: -(x55*x127 + x62*x133 + x69*x139 + x76*x145) - 5*x6 - 3*x13 - 3*x20 - x27
       - x34 - 352*x83 - 266*x90 - 493*x97 >= -23680;

e116: -(x55*x128 + x62*x134 + x69*x140 + x76*x146) - 2*x6 - 6*x13 - 2*x20 - x27
       - 6*x34 - 461*x83 - 481*x90 - 399*x97 >= -1040;

e117: -(x55*x129 + x62*x135 + x69*x141 + x76*x147) - 10*x6 - x20 - 4*x34
       - 489*x83 - 505*x90 - 495*x97 >= -36320;

e118: -(x56*x124 + x63*x130 + x70*x136 + x77*x142) - x7 - 6*x14 - 4*x21 - 7*x28
       - 6*x35 - 421*x84 - 112*x91 - 491*x98 >= -3440;

e119: -(x56*x125 + x63*x131 + x70*x137 + x77*x143) - 2*x7 - 2*x14 - 8*x21
       - 9*x28 - 9*x35 - 316*x84 - 429*x91 - 476*x98 >= -27360;

e120: -(x56*x126 + x63*x132 + x70*x138 + x77*x144) - 2*x7 - 2*x14 - 6*x21
       - 5*x28 - 2*x35 - 391*x84 - 505*x91 - 197*x98 >= -18560;

e121: -(x56*x127 + x63*x133 + x70*x139 + x77*x145) - 5*x7 - 3*x14 - 3*x21 - x28
       - x35 - 352*x84 - 266*x91 - 493*x98 >= -21200;

e122: -(x56*x128 + x63*x134 + x70*x140 + x77*x146) - 2*x7 - 6*x14 - 2*x21 - x28
       - 6*x35 - 461*x84 - 481*x91 - 399*x98 >= -31440;

e123: -(x56*x129 + x63*x135 + x70*x141 + x77*x147) - 10*x7 - x21 - 4*x35
       - 489*x84 - 505*x91 - 495*x98 >= -23920;

e124: -(x57*x124 + x64*x130 + x71*x136 + x78*x142) - x8 - 6*x15 - 4*x22 - 7*x29
       - 6*x36 - 421*x85 - 112*x92 - 491*x99 >= -31640;

e125: -(x57*x125 + x64*x131 + x71*x137 + x78*x143) - 2*x8 - 2*x15 - 8*x22
       - 9*x29 - 9*x36 - 316*x85 - 429*x92 - 476*x99 >= -4480;

e126: -(x57*x126 + x64*x132 + x71*x138 + x78*x144) - 2*x8 - 2*x15 - 6*x22
       - 5*x29 - 2*x36 - 391*x85 - 505*x92 - 197*x99 >= -700;

e127: -(x57*x127 + x64*x133 + x71*x139 + x78*x145) - 5*x8 - 3*x15 - 3*x22 - x29
       - x36 - 352*x85 - 266*x92 - 493*x99 >= -23380;

e128: -(x57*x128 + x64*x134 + x71*x140 + x78*x146) - 2*x8 - 6*x15 - 2*x22 - x29
       - 6*x36 - 461*x85 - 481*x92 - 399*x99 >= -10010;

e129: -(x57*x129 + x64*x135 + x71*x141 + x78*x147) - 10*x8 - x22 - 4*x36
       - 489*x85 - 505*x92 - 495*x99 >= -17080;

e130:    x37 <= 100;

e131:    x38 <= 100;

e132:    x39 <= 40;

e133:    x40 <= 90;

e134:    x41 <= 0;

e135:    x42 <= 0;

e136:    x43 <= 0;