#  MIQCP written by GAMS Convert at 02/15/18 15:37:14
#  
#  Equation counts
#      Total        E        G        L        N        X        C        B
#        142       17       51       74        0        0        0        0
#  
#  Variable counts
#                   x        b        i      s1s      s2s       sc       si
#      Total     cont   binary  integer     sos1     sos2    scont     sint
#        119       64       55        0        0        0        0        0
#  FX      0        0        0        0        0        0        0        0
#  
#  Nonzero counts
#      Total    const       NL      DLL
#        740      584      156        0
# 
#  Reformulation has removed 1 variable and 1 equation


var x2 >= 0, <= 20;
var x3 >= 0, <= 20;
var x4 >= 0, <= 20;
var x5 >= 0, <= 20;
var x6 >= 0, <= 50;
var x7 >= 0, <= 50;
var x8 >= 0, <= 50;
var x9 >= 0, <= 50;
var x10 >= 0, <= 47.5;
var x11 >= 0, <= 47.5;
var x12 >= 0, <= 47.5;
var x13 >= 0, <= 47.5;
var x14 >= 0, <= 28;
var x15 >= 0, <= 28;
var x16 >= 0, <= 28;
var x17 >= 0, <= 28;
var x18 >= 0, <= 100;
var x19 >= 0, <= 100;
var x20 >= 0, <= 100;
var x21 >= 0, <= 100;
var x22 >= 0, <= 30;
var x23 >= 0, <= 30;
var x24 >= 0, <= 30;
var x25 >= 0, <= 30;
var x26 >= 0, <= 25;
var x27 >= 0, <= 25;
var x28 >= 0, <= 25;
var x29 >= 0, <= 25;
var x30 >= 0, <= 300.5;
var x31 >= 0, <= 300.5;
var x32 >= 0, <= 300.5;
var x33 >= 0, <= 300.5;
var x34 >= 0, <= 300.5;
var x35 >= 0, <= 300.5;
var x36 >= 0, <= 300.5;
var x37 >= 0, <= 300.5;
var x38 >= 0, <= 300.5;
var x39 >= 0, <= 300.5;
var x40 >= 0, <= 300.5;
var x41 >= 0, <= 300.5;
var x42 >= 0, <= 300.5;
var x43 >= 0, <= 300.5;
var x44 >= 0, <= 300.5;
var x45 >= 0, <= 300.5;
var x46 >= 0, <= 20;
var x47 >= 0, <= 50;
var x48 >= 0, <= 47.5;
var x49 >= 0, <= 28;
var x50 >= 0, <= 100;
var x51 >= 0, <= 30;
var x52 >= 0, <= 25;
var x53 >= 0, <= 12;
var x54 >= 0, <= 175;
var x55 >= 0, <= 100;
var x56 >= 0, <= 1200;
var x57 >= 0, <= 227.5;
var x58 >= 0, <= 200;
var x59 >= 0, <= 1080;
var x60 >= 0, <= 17.5;
var x61 >= 0, <= 2000;
var x62 >= 0, <= 360;
var x63 >= 0, <= 1400;
var x64 >= 0, <= 1400;
var b65 binary >= 0, <= 1;
var b66 binary >= 0, <= 1;
var b67 binary >= 0, <= 1;
var b68 binary >= 0, <= 1;
var b69 binary >= 0, <= 1;
var b70 binary >= 0, <= 1;
var b71 binary >= 0, <= 1;
var b72 binary >= 0, <= 1;
var b73 binary >= 0, <= 1;
var b74 binary >= 0, <= 1;
var b75 binary >= 0, <= 1;
var b76 binary >= 0, <= 1;
var b77 binary >= 0, <= 1;
var b78 binary >= 0, <= 1;
var b79 binary >= 0, <= 1;
var b80 binary >= 0, <= 1;
var b81 binary >= 0, <= 1;
var b82 binary >= 0, <= 1;
var b83 binary >= 0, <= 1;
var b84 binary >= 0, <= 1;
var b85 binary >= 0, <= 1;
var b86 binary >= 0, <= 1;
var b87 binary >= 0, <= 1;
var b88 binary >= 0, <= 1;
var b89 binary >= 0, <= 1;
var b90 binary >= 0, <= 1;
var b91 binary >= 0, <= 1;
var b92 binary >= 0, <= 1;
var b93 binary >= 0, <= 1;
var b94 binary >= 0, <= 1;
var b95 binary >= 0, <= 1;
var b96 binary >= 0, <= 1;
var b97 binary >= 0, <= 1;
var b98 binary >= 0, <= 1;
var b99 binary >= 0, <= 1;
var b100 binary >= 0, <= 1;
var b101 binary >= 0, <= 1;
var b102 binary >= 0, <= 1;
var b103 binary >= 0, <= 1;
var b104 binary >= 0, <= 1;
var b105 binary >= 0, <= 1;
var b106 binary >= 0, <= 1;
var b107 binary >= 0, <= 1;
var b108 binary >= 0, <= 1;
var b109 binary >= 0, <= 1;
var b110 binary >= 0, <= 1;
var b111 binary >= 0, <= 1;
var b112 binary >= 0, <= 1;
var b113 binary >= 0, <= 1;
var b114 binary >= 0, <= 1;
var b115 binary >= 0, <= 1;
var b116 binary >= 0, <= 1;
var b117 binary >= 0, <= 1;
var b118 binary >= 0, <= 1;
var b119 binary >= 0, <= 1;

minimize obj:    75.07083333*x2 + 150.1416667*x3 + 280.2644444*x4
     + 245.2313889*x5 + 55.05194444*x6 + 125.1180556*x7 + 260.2455556*x8
     + 215.2030556*x9 + 30.02833333*x10 + 115.1086111*x11 + 240.2266667*x12
     + 220.2077778*x13 + 55.05194444*x14 + 140.1322222*x15 + 245.2313889*x16
     + 245.2313889*x17 + 55.05194444*x18 + 40.03777778*x19 + 150.1416667*x20
     + 150.1416667*x21 + 40.03777778*x22 + 120.1133333*x23 + 230.2172222*x24
     + 230.2172222*x25 + 30.02833333*x26 + 60.05666667*x27 + 175.1652778*x28
     + 165.1558333*x29 + 1177.970833*x30 + 2975.275556*x31 + 1263.051111*x32
     + 1293.079444*x33 + 1182.975556*x34 + 1313.098333*x35 + 1293.079444*x36
     + 2975.275556*x37 + 3025.322778*x38 + 2995.294444*x39 + 1313.098333*x40
     + 1233.022778*x41 + 1213.003889*x42 + 1293.079444*x43 + 1202.994444*x44
     + 1213.003889*x45 + 150.1416667*x46 + 135.1275*x47 + 100.0944444*x48
     + 90.085*x49 + 40.03777778*x50 + 70.06611111*x51 + 45.0425*x52 + 9345*b65
     + 18690*b66 + 34888*b67 + 30527*b68 + 6853*b69 + 15575*b70 + 32396*b71
     + 26789*b72 + 3738*b73 + 14329*b74 + 29904*b75 + 27412*b76 + 6853*b77
     + 17444*b78 + 30527*b79 + 30527*b80 + 6853*b81 + 4984*b82 + 18690*b83
     + 18690*b84 + 4984*b85 + 14952*b86 + 28658*b87 + 28658*b88 + 3738*b89
     + 7476*b90 + 21805*b91 + 20559*b92 + 9345*b93 + 9968*b94 + 19936*b95
     + 23674*b96 + 9968*b97 + 26166*b98 + 23674*b99 + 9968*b100 + 16198*b101
     + 12460*b102 + 26166*b103 + 16198*b104 + 13706*b105 + 23674*b106
     + 12460*b107 + 13706*b108 + 18690*b109 + 16821*b110 + 12460*b111
     + 11214*b112 + 4984*b113 + 8722*b114 + 5607*b115 + 13972*b116 + 36676*b117
     + 13972*b118 + 13972*b119;

subject to

e2:  - x2 - x3 - x4 - x5 - x46 <= -20;

e3:  - x6 - x7 - x8 - x9 - x47 <= -50;

e4:  - x10 - x11 - x12 - x13 - x48 <= -47.5;

e5:  - x14 - x15 - x16 - x17 - x49 <= -28;

e6:  - x18 - x19 - x20 - x21 - x50 <= -100;

e7:  - x22 - x23 - x24 - x25 - x51 <= -30;

e8:  - x26 - x27 - x28 - x29 - x52 <= -25;

e9:    x2 + x3 + x4 + x5 + x46 <= 20;

e10:    x6 + x7 + x8 + x9 + x47 <= 50;

e11:    x10 + x11 + x12 + x13 + x48 <= 47.5;

e12:    x14 + x15 + x16 + x17 + x49 <= 28;

e13:    x18 + x19 + x20 + x21 + x50 <= 100;

e14:    x22 + x23 + x24 + x25 + x51 <= 30;

e15:    x26 + x27 + x28 + x29 + x52 <= 25;

e16:    x30 + x34 + x35 + x36 - 300.5*b116 <= 0;

e17:    x31 + x37 + x38 + x39 - 300.5*b117 <= 0;

e18:    x32 + x40 + x41 + x42 - 300.5*b118 <= 0;

e19:    x33 + x43 + x44 + x45 - 300.5*b119 <= 0;

e20:  - x30 - x31 - x32 - x33 - x46 - x47 - x48 - x49 - x50 - x51 - x52
      <= -300.5;

e21:    x30 + x31 + x32 + x33 + x46 + x47 + x48 + x49 + x50 + x51 + x52
      <= 300.5;

e22:    x2 + x6 + x10 + x14 + x18 + x22 + x26 - x30 - x34 - x35 - x36 + x37
      + x40 + x43 = 0;

e23:    x3 + x7 + x11 + x15 + x19 + x23 + x27 - x31 + x34 - x37 - x38 - x39
      + x41 + x44 = 0;

e24:    x4 + x8 + x12 + x16 + x20 + x24 + x28 - x32 + x35 + x38 - x40 - x41
      - x42 + x45 = 0;

e25:    x5 + x9 + x13 + x17 + x21 + x25 + x29 - x33 + x36 + x39 + x42 - x43
      - x44 - x45 = 0;

e26:    x2 - 0.2*b65 >= 0;

e27:    x3 - 0.2*b66 >= 0;

e28:    x4 - 0.2*b67 >= 0;

e29:    x5 - 0.2*b68 >= 0;

e30:    x6 - 0.2*b69 >= 0;

e31:    x7 - 0.2*b70 >= 0;

e32:    x8 - 0.2*b71 >= 0;

e33:    x9 - 0.2*b72 >= 0;

e34:    x10 - 0.2*b73 >= 0;

e35:    x11 - 0.2*b74 >= 0;

e36:    x12 - 0.2*b75 >= 0;

e37:    x13 - 0.2*b76 >= 0;

e38:    x14 - 0.2*b77 >= 0;

e39:    x15 - 0.2*b78 >= 0;

e40:    x16 - 0.2*b79 >= 0;

e41:    x17 - 0.2*b80 >= 0;

e42:    x18 - 0.2*b81 >= 0;

e43:    x19 - 0.2*b82 >= 0;

e44:    x20 - 0.2*b83 >= 0;

e45:    x21 - 0.2*b84 >= 0;

e46:    x22 - 0.2*b85 >= 0;

e47:    x23 - 0.2*b86 >= 0;

e48:    x24 - 0.2*b87 >= 0;

e49:    x25 - 0.2*b88 >= 0;

e50:    x26 - 0.2*b89 >= 0;

e51:    x27 - 0.2*b90 >= 0;

e52:    x28 - 0.2*b91 >= 0;

e53:    x29 - 0.2*b92 >= 0;

e54:    x2 - 20*b65 <= 0;

e55:    x3 - 20*b66 <= 0;

e56:    x4 - 20*b67 <= 0;

e57:    x5 - 20*b68 <= 0;

e58:    x6 - 50*b69 <= 0;

e59:    x7 - 50*b70 <= 0;

e60:    x8 - 50*b71 <= 0;

e61:    x9 - 50*b72 <= 0;

e62:    x10 - 47.5*b73 <= 0;

e63:    x11 - 47.5*b74 <= 0;

e64:    x12 - 47.5*b75 <= 0;

e65:    x13 - 47.5*b76 <= 0;

e66:    x14 - 28*b77 <= 0;

e67:    x15 - 28*b78 <= 0;

e68:    x16 - 28*b79 <= 0;

e69:    x17 - 28*b80 <= 0;

e70:    x18 - 100*b81 <= 0;

e71:    x19 - 100*b82 <= 0;

e72:    x20 - 100*b83 <= 0;

e73:    x21 - 100*b84 <= 0;

e74:    x22 - 30*b85 <= 0;

e75:    x23 - 30*b86 <= 0;

e76:    x24 - 30*b87 <= 0;

e77:    x25 - 30*b88 <= 0;

e78:    x26 - 25*b89 <= 0;

e79:    x27 - 25*b90 <= 0;

e80:    x28 - 25*b91 <= 0;

e81:    x29 - 25*b92 <= 0;

e82:    x30 - 0.2*b93 >= 0;

e83:    x31 - 0.2*b94 >= 0;

e84:    x32 - 0.2*b95 >= 0;

e85:    x33 - 0.2*b96 >= 0;

e86:    x30 - 300.5*b93 <= 0;

e87:    x31 - 300.5*b94 <= 0;

e88:    x32 - 300.5*b95 <= 0;

e89:    x33 - 300.5*b96 <= 0;

e90:    x46 - 0.2*b109 >= 0;

e91:    x47 - 0.2*b110 >= 0;

e92:    x48 - 0.2*b111 >= 0;

e93:    x49 - 0.2*b112 >= 0;

e94:    x50 - 0.2*b113 >= 0;

e95:    x51 - 0.2*b114 >= 0;

e96:    x52 - 0.2*b115 >= 0;

e97:    x46 - 20*b109 <= 0;

e98:    x47 - 50*b110 <= 0;

e99:    x48 - 47.5*b111 <= 0;

e100:    x49 - 28*b112 <= 0;

e101:    x50 - 100*b113 <= 0;

e102:    x51 - 30*b114 <= 0;

e103:    x52 - 25*b115 <= 0;

e104:    x37 - 0.2*b100 >= 0;

e105:    x40 - 0.2*b103 >= 0;

e106:    x43 - 0.2*b106 >= 0;

e107:    x34 - 0.2*b97 >= 0;

e108:    x41 - 0.2*b104 >= 0;

e109:    x44 - 0.2*b107 >= 0;

e110:    x35 - 0.2*b98 >= 0;

e111:    x38 - 0.2*b101 >= 0;

e112:    x45 - 0.2*b108 >= 0;

e113:    x36 - 0.2*b99 >= 0;

e114:    x39 - 0.2*b102 >= 0;

e115:    x42 - 0.2*b105 >= 0;

e116:    x37 - 300.5*b100 <= 0;

e117:    x40 - 300.5*b103 <= 0;

e118:    x43 - 300.5*b106 <= 0;

e119:    x34 - 300.5*b97 <= 0;

e120:    x41 - 300.5*b104 <= 0;

e121:    x44 - 300.5*b107 <= 0;

e122:    x35 - 300.5*b98 <= 0;

e123:    x38 - 300.5*b101 <= 0;

e124:    x45 - 300.5*b108 <= 0;

e125:    x36 - 300.5*b99 <= 0;

e126:    x39 - 300.5*b102 <= 0;

e127:    x42 - 300.5*b105 <= 0;

e128: (-x53*x30) - x53*x34 - x53*x35 - x53*x36 + 0.01*x56*x37 + 0.01*x59*x40 + 
      0.01*x62*x43 + x2 + 8*x6 + 4*x10 + 12*x14 + 5*x18 + 0.5*x22 + 10*x26 = 0;

e129: (-x54*x30) - x54*x34 - x54*x35 - x54*x36 + 0.1*x57*x37 + 0.1*x60*x40 + 
      0.1*x63*x43 + 50*x2 + 175*x6 + 8*x10 + 100*x14 + 70*x18 + 10*x22 + 5*x26
       = 0;

e130: (-x55*x30) - x55*x34 - x55*x35 - x55*x36 + 0.05*x58*x37 + 0.05*x61*x40 + 
      0.05*x64*x43 + 25*x2 + 100*x6 + 5*x10 + 20*x14 + 12.5*x18 + 2.5*x22
       + 7.5*x26 = 0;

e131: x53*x34 - x56*x31 - x56*x37 - x56*x38 - x56*x39 + x59*x41 + x62*x44
       + 100*x3 + 800*x7 + 400*x11 + 1200*x15 + 500*x19 + 50*x23 + 1000*x27
       = 0;

e132: 0.13*x54*x34 - x57*x31 - x57*x37 - x57*x38 - x57*x39 + 0.13*x60*x41 + 
      0.13*x63*x44 + 65*x3 + 227.5*x7 + 10.4*x11 + 130*x15 + 91*x19 + 13*x23
       + 6.5*x27 = 0;

e133: 0.1*x55*x34 - x58*x31 - x58*x37 - x58*x38 - x58*x39 + 0.1*x61*x41 + 0.1*
      x64*x44 + 50*x3 + 200*x7 + 10*x11 + 40*x15 + 25*x19 + 5*x23 + 15*x27 = 0;

e134: 0.9*x53*x35 - x59*x32 + 0.9*x56*x38 - x59*x40 - x59*x41 - x59*x42 + 0.9*
      x62*x45 + 90*x4 + 720*x8 + 360*x12 + 1080*x16 + 450*x20 + 45*x24
       + 900*x28 = 0;

e135: 0.01*x54*x35 - x60*x32 + 0.01*x57*x38 - x60*x40 - x60*x41 - x60*x42 + 
      0.01*x63*x45 + 5*x4 + 17.5*x8 + 0.8*x12 + 10*x16 + 7*x20 + x24 + 0.5*x28
       = 0;

e136: x55*x35 - x61*x32 + x58*x38 - x61*x40 - x61*x41 - x61*x42 + x64*x45
       + 500*x4 + 2000*x8 + 100*x12 + 400*x16 + 250*x20 + 50*x24 + 150*x28 = 0;

e137: 0.3*x53*x36 - x62*x33 + 0.3*x56*x39 + 0.3*x59*x42 - x62*x43 - x62*x44 - 
      x62*x45 + 30*x5 + 240*x9 + 120*x13 + 360*x17 + 150*x21 + 15*x25 + 300*x29
       = 0;

e138: 0.8*x54*x36 - x63*x33 + 0.8*x57*x39 + 0.8*x60*x42 - x63*x43 - x63*x44 - 
      x63*x45 + 400*x5 + 1400*x9 + 64*x13 + 800*x17 + 560*x21 + 80*x25 + 40*x29
       = 0;

e139: 0.7*x55*x36 - x64*x33 + 0.7*x58*x39 + 0.7*x61*x42 - x64*x43 - x64*x44 - 
      x64*x45 + 350*x5 + 1400*x9 + 70*x13 + 280*x17 + 175*x21 + 35*x25
       + 105*x29 = 0;

e140: x53*x30 - 5*x30 + x56*x31 - 5*x31 + x59*x32 - 5*x32 + x62*x33 - 5*x33
       + 95*x46 + 795*x47 + 395*x48 + 1195*x49 + 495*x50 + 45*x51 + 995*x52
       <= 0;

e141: x54*x30 - 5*x30 + x57*x31 - 5*x31 + x60*x32 - 5*x32 + x63*x33 - 5*x33
       + 495*x46 + 1745*x47 + 75*x48 + 995*x49 + 695*x50 + 95*x51 + 45*x52
       <= 0;

e142: x55*x30 - 10*x30 + x58*x31 - 10*x31 + x61*x32 - 10*x32 + x64*x33 - 10*x33
       + 490*x46 + 1990*x47 + 90*x48 + 390*x49 + 240*x50 + 40*x51 + 140*x52
       <= 0;