#  MINLP written by GAMS Convert at 01/12/18 13:29:59
#  
#  Equation counts
#      Total        E        G        L        N        X        C        B
#        104       72        8       24        0        0        0        0
#  
#  Variable counts
#                   x        b        i      s1s      s2s       sc       si
#      Total     cont   binary  integer     sos1     sos2    scont     sint
#         91       85        6        0        0        0        0        0
#  FX      1        0        1        0        0        0        0        0
#  
#  Nonzero counts
#      Total    const       NL      DLL
#        336      244       92        0
# 
#  Reformulation has removed 1 variable and 1 equation


var x1 := 0.95, >= 0.95, <= 1;
var x2 := 0.001, >= 0.001, <= 10;
var x3 := 0.001, >= 0.001, <= 10;
var x4 := 0.001, >= 0.001, <= 10;
var x5 := 0.001, >= 0.001, <= 10;
var x6 := 0.001, >= 0.001, <= 10;
var x7 := 0.001, >= 0.001, <= 10;
var x8 >= 0;
var x9 >= 0;
var x10 >= 0;
var x11 >= 0;
var x12 >= 0;
var x13 >= 0;
var x14 := 0.001, >= 0.001, <= 10;
var x15 := 0.001, >= 0.001, <= 10;
var x16 := 0.001, >= 0.001, <= 10;
var x17 := 0.001, >= 0.001, <= 10;
var x18 := 0.001, >= 0.001, <= 10;
var x19 := 0.001, >= 0.001, <= 10;
var x20 := 0.001, >= 0.001, <= 10;
var x21 := 0.001, >= 0.001, <= 10;
var x22 := 0.001, >= 0.001, <= 10;
var x23 := 0.001, >= 0.001, <= 10;
var x24 := 0.001, >= 0.001, <= 10;
var x25 := 0.001, >= 0.001, <= 10;
var x26 := 0.001, >= 0.001, <= 10;
var x27 := 0.001, >= 0.001, <= 10;
var x28 >= 0;
var x29 >= 0;
var x30 >= 0;
var x31 >= 0;
var x32 >= 0;
var x33 >= 0;
var x34 := 0.001, >= 0.001, <= 10;
var x35 := 0.001, >= 0.001, <= 10;
var x36 := 0.001, >= 0.001, <= 10;
var x37 := 0.001, >= 0.001, <= 10;
var x38 := 0.001, >= 0.001, <= 10;
var x39 := 0.001, >= 0.001, <= 10;
var x40 := 0.001, >= 0.001, <= 10;
var x41 := 0.001, >= 0.001, <= 10;
var x42 := 1E-5, >= 1E-5, <= 10;
var x43 := 0.001, >= 0.001, <= 10;
var x44 := 0.001, >= 0.001, <= 10;
var x45 := 1E-5, >= 1E-5, <= 10;
var x46 := 0.001, >= 0.001, <= 10;
var x47 := 0.001, >= 0.001, <= 10;
var x48 := 1E-5, >= 1E-5, <= 10;
var x49 >= -10, <= 10;
var x50 >= -10, <= 10;
var x51 := 1E-5, >= 1E-5, <= 10;
var x52 >= -10, <= 10;
var x53 >= -10, <= 10;
var x54 := 1E-5, >= 1E-5, <= 10;
var x55 >= -10, <= 10;
var x56 >= -10, <= 10;
var x57 := 1E-5, >= 1E-5, <= 10;
var x58 := 0.001, >= 0.001, <= 10;
var x59 := 0.001, >= 0.001, <= 10;
var x60 := 0.001, >= 0.001, <= 10;
var x61 := 1E-5, >= 1E-5, <= 10;
var x62 := 0.001, >= 0.001, <= 10;
var x63 := 0.001, >= 0.001, <= 10;
var x64 := 0.001, >= 0.001, <= 10;
var x65 := 1E-5, >= 1E-5, <= 10;
var x66 >= -10, <= 10;
var x67 >= -10, <= 10;
var x68 >= -10, <= 10;
var x69 := 1E-5, >= 1E-5, <= 10;
var x70 >= -10, <= 10;
var x71 >= -10, <= 10;
var x72 >= -10, <= 10;
var x73 := 1E-5, >= 1E-5, <= 10;
var x74 >= -10, <= 10;
var x75 >= -10, <= 10;
var x76 >= -10, <= 10;
var x77 := 1E-5, >= 1E-5, <= 10;
var x78 >= -10, <= 10;
var x79 >= -10, <= 10;
var x80 >= -10, <= 10;
var x81 := 1E-5, >= 1E-5, <= 10;
var x82 >= -10, <= 10;
var x83 >= -10, <= 10;
var x84 >= -10, <= 10;
var b85 binary := 1, >= 1, <= 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;

maximize obj:    x1;

subject to

e2:  - x8 + 0.001*b85 <= 0;

e3:  - x9 + 0.001*b86 <= 0;

e4:  - x10 + 0.001*b87 <= 0;

e5:  - x11 + 0.001*b88 <= 0;

e6:  - x12 + 0.001*b89 <= 0;

e7:  - x13 + 0.001*b90 <= 0;

e8:    x8 - 10*b85 <= 0;

e9:    x9 - 10*b86 <= 0;

e10:    x10 - 10*b87 <= 0;

e11:    x11 - 10*b88 <= 0;

e12:    x12 - 10*b89 <= 0;

e13:    x13 - 10*b90 <= 0;

e14:  - x28 + 0.001*b85 <= 0;

e15:  - x29 + 0.001*b86 <= 0;

e16:  - x30 + 0.001*b87 <= 0;

e17:  - x31 + 0.001*b88 <= 0;

e18:  - x32 + 0.001*b89 <= 0;

e19:  - x33 + 0.001*b90 <= 0;

e20:    x28 - 10*b85 <= 0;

e21:    x29 - 10*b86 <= 0;

e22:    x30 - 10*b87 <= 0;

e23:    x31 - 10*b88 <= 0;

e24:    x32 - 10*b89 <= 0;

e25:    x33 - 10*b90 <= 0;

e26:    b85 - b86 >= 0;

e27:    b86 - b87 >= 0;

e28:    b87 - b88 >= 0;

e29:    b88 - b89 >= 0;

e30:    b89 - b90 >= 0;

e31:  - 10000000*x2 + 10000000*x8 + x14 = 0;

e32: 2000000*x1*x2 - 1000000*x3 + 1000000*x9 + x15 = 0;

e33: 200000*x1*x3 - 100000*x2 - 100000*x4 - 100000*x8 + 100000*x10 + x16 = 0;

e34: 20000*x1*x4 - 10000*x3 - 10000*x5 - 10000*x9 + 10000*x11 + x17 = 0;

e35: 2000*x1*x5 - 1000*x4 - 1000*x6 - 1000*x10 + 1000*x12 + x18 = 0;

e36: 200*x1*x6 - 100*x5 - 100*x7 - 100*x11 + 100*x13 + x19 = 0;

e37: 20*x1*x7 - 10*x6 - 10*x12 + x20 = 0;

e38:  - x7 - x13 + x21 = 0;

e39:  - x2 + 1E-5*x3 - 1E-10*x4 + x22 = 0;

e40:  - x3 + 2E-5*x4 - 3E-10*x5 + x23 = 0;

e41:  - x4 + 3E-5*x5 - 6E-10*x6 + x24 = 0;

e42:  - x5 + 4E-5*x6 - 1E-9*x7 + x25 = 0;

e43:  - x6 + 5E-5*x7 + x26 = 0;

e44:  - x7 + x27 = 0;

e45:  - x8 + 1E-5*x9 - 1E-10*x10 + x28 = 0;

e46:  - x9 + 2E-5*x10 - 3E-10*x11 + x29 = 0;

e47:  - x10 + 3E-5*x11 - 6E-10*x12 + x30 = 0;

e48:  - x11 + 4E-5*x12 - 1E-9*x13 + x31 = 0;

e49:  - x12 + 5E-5*x13 + x32 = 0;

e50:  - x13 + x33 = 0;

e51:  - x14 + 1E-5*x15 - 1E-10*x16 + x34 = 0;

e52:  - x15 + 2E-5*x16 - 3E-10*x17 + x35 = 0;

e53:  - x16 + 3E-5*x17 - 6E-10*x18 + x36 = 0;

e54:  - x17 + 4E-5*x18 - 1E-9*x19 + x37 = 0;

e55:  - x18 + 5E-5*x19 - 1.5E-9*x20 + x38 = 0;

e56:  - x19 + 6E-5*x20 - 2.1E-9*x21 + x39 = 0;

e57:  - x20 + 7E-5*x21 + x40 = 0;

e58:  - x21 + x41 = 0;

e59:  - x27 + x42 = 0;

e60:  - x25 + x43 = 0;

e61:  - x23 + x44 = 0;

e62:  - x26 + x45 = 0;

e63:  - x24 + x46 = 0;

e64:  - x22 + x47 = 0;

e65: x42/x45*x46 - x43 + x48 = 0;

e66: x42/x45*x47 - x44 + x49 = 0;

e67: x45/x48*x49 - x46 + x51 = 0;

e68: x45/x48*x50 - x47 + x52 = 0;

e69: x48/x51*x52 - x49 + x54 = 0;

e70: x48/x51*x53 - x50 + x55 = 0;

e71:    x50 = 0;

e72:    x53 = 0;

e73:    x56 = 0;

e74:  - x41 + x57 = 0;

e75:  - x39 + x58 = 0;

e76:  - x37 + x59 = 0;

e77:  - x35 + x60 = 0;

e78:  - x40 + x61 = 0;

e79:  - x38 + x62 = 0;

e80:  - x36 + x63 = 0;

e81:  - x34 + x64 = 0;

e82: x57/x61*x62 - x58 + x65 = 0;

e83: x57/x61*x63 - x59 + x66 = 0;

e84: x57/x61*x64 - x60 + x67 = 0;

e85: x61/x65*x66 - x62 + x69 = 0;

e86: x61/x65*x67 - x63 + x70 = 0;

e87: x61/x65*x68 - x64 + x71 = 0;

e88: x65/x69*x70 - x66 + x73 = 0;

e89: x65/x69*x71 - x67 + x74 = 0;

e90: x65/x69*x72 - x68 + x75 = 0;

e91: x69/x73*x74 - x70 + x77 = 0;

e92: x69/x73*x75 - x71 + x78 = 0;

e93: x69/x73*x76 - x72 + x79 = 0;

e94: x73/x77*x78 - x74 + x81 = 0;

e95: x73/x77*x79 - x75 + x82 = 0;

e96: x73/x77*x80 - x76 + x83 = 0;

e97:    x68 = 0;

e98:    x72 = 0;

e99:    x76 = 0;

e100:    x80 = 0;

e101:    x84 = 0;

e102: x31*x32 - x30*x33 - 1E-5*b90 >= 0;

e103: x30*x31*x32 - x30*x30*x33 + x28*x32*x33 - x29*x32*x32 - 1E-5*b89 >= 0;

e104: x29*x30*x31*x32 - x30**2*x29*x33 - x29**2*x32**2 + 2*x28*x29*x32*x33 + 
      x28*x30*x31*x33 - x28**2*x33**2 - x31**2*x28*x32 + (x29*x30 - x28*x31)*(1
       - b89) - 1E-5*b88 >= 0;