# NLP written by GAMS Convert at 03/03/22 14:44:03
#
# Equation counts
#     Total        E        G        L        N        X        C        B
#        77       77        0        0        0        0        0        0
#
# Variable counts
#                  x        b        i      s1s      s2s       sc       si
#     Total     cont   binary  integer     sos1     sos2    scont     sint
#        95       95        0        0        0        0        0        0
# FX     18
#
# Nonzero counts
#     Total    const       NL
#       342      145      197
#
# Reformulation has removed 1 variable and 1 equation

var x1 := 1, >= 1, <= 1;
var x2 := 1, >= 0.01;
var x3 := 1, >= 0.01;
var x4 := 1, >= 0.01;
var x5 := 1, >= 0.01;
var x6 := 1, >= 0.01;
var x7 := 1, >= 0.01;
var x8 := 1;
var x9 := 1;
var x10 := 1;
var x11 := 1, >= 0.01;
var x12 := 1, >= 0.01;
var x13 := 1, >= 0.01;
var x14 := 1, >= 0.01;
var x15 := 1, >= 0.01;
var x16 := 1, >= 0.01;
var x17 := 1, >= 0.01;
var x18 := 1, >= 0.01;
var x19 := 1, >= 0.01;
var x20 := 0.737;
var x21 := 0.2911;
var x22 := 0.6625;
var x23;
var x24 := 1, >= 1, <= 1;
var x25 := 711.6443, >= 0.01;
var x26 := 930.3509, >= 0.01;
var x27 := 497.4428, >= 0.01;
var x28 := 657.3677, >= 0.01;
var x29 := 840.05, >= 0.01;
var x30 := 515.4296, >= 0.01;
var x31 := 641.7037, >= 0.01;
var x32 := 812.2222, >= 0.01;
var x33 := 492.0307, >= 0.01;
var x34 := 15.6639, >= 0.01;
var x35 := 27.8278, >= 0.01;
var x36 := 23.3988, >= 0.01;
var x37 := 69.9406, >= 0.01;
var x38 := 118.1287, >= 0.01;
var x39 := 5.412, >= 0.01;
var x40 := 657.5754, >= 657.5754, <= 657.5754;
var x41 := 338.7076, >= 338.7076, <= 338.7076;
var x42 := 1548.5192, >= 1548.5192, <= 1548.5192;
var x43 := 0.074, >= 0.01;
var x44 := 0.14, >= 0.01;
var x45 := 0.152, >= 0.01;
var x46 := 2515.9, >= 2515.9, <= 2515.9;
var x47 := 1565.987, >= 1565.987, <= 1565.987;
var x48 := 948.1, >= 948.1, <= 948.1;
var x49 := 2515.9, >= 0.01;
var x50 := 442.643, >= 0.01;
var x51 >= 0, <= 0;
var x52 >= 0, <= 0;
var x53 := 767.776, >= 0.01;
var x54 >= 0, <= 0;
var x55 >= 0, <= 0;
var x56 := 355.568, >= 0.01;
var x57 := 948.1, >= 0.01;
var x58 := 256.645, >= 0.01;
var x59 := 464.1656, >= 0.01;
var x60 := 156.2598, >= 0.01;
var x61 := 452.1765;
var x62 := 307.8561;
var x63 := 202.0416;
var x64 := 2.823;
var x65 := 9.8806;
var x66 := 128.4482;
var x67;
var x68 := 148.4488;
var x69 := 10.6931;
var x70;
var x71;
var x72;
var x73 := 1123.5941, >= 0.01;
var x74 := 194.0449;
var x75 := 28.6572;
var x76 := 65.2754;
var x77;
var x78 := 141.1519, >= 141.1519, <= 141.1519;
var x79 := 61.4089;
var x80 := 52.893;
var x81;
var x82 := 159.1419;
var x83 := 159.1419;
var x84 := 0.06, >= 0.06, <= 0.06;
var x85 := 0.06, >= 0.06, <= 0.06;
var x86 := 39.1744, >= 39.1744, <= 39.1744;
var x87 := 20.6884;
var x88 := 46.1511;
var x89 := 92.3023;
var x90;
var x91 >= 0, <= 0;
var x92 := 58.759, >= 58.759, <= 58.759;
var x93 := 548.7478;
var x94 := 574.8463;
var x95 := 100.1122;

minimize obj: -x61^0.47 * x62^0.31999 * x63^0.21001;

subject to

e1:  -0.90909 * x1 * (1.1 + x23) + x5 = 0;
e2:  -0.81466 * x1 * (1.22751 + x23) + x6 = 0;
e3:  -0.92521 * x1 * (1.08084 + x23) + x7 = 0;
e4:  -x1 + x8 = 0;
e5:  -x1 + x9 = 0;
e6:  -x1 + x10 = 0;
e7:  x17 * x25 - x2 * x31 - x5 * x37 = 0;
e8:  x18 * x26 - x3 * x32 - x6 * x38 = 0;
e9:  x19 * x27 - x4 * x33 - x7 * x39 = 0;
e10:  x14 * x28 - x2 * x31 - x8 * x34 = 0;
e11:  x15 * x29 - x3 * x32 - x9 * x35 = 0;
e12:  x16 * x30 - x4 * x33 - x10 * x36 = 0;
e13:  0.99 * x14 - 0.12591 * x17 - 0.10353 * x18 - 0.02358 * x19 - x20 = 0;
e14:  0.9608 * x15 - 0.19834 * x17 - 0.35524 * x18 - 0.11608 * x19 - x21 = 0;
e15:  0.95 * x16 - 0.01407 * x17 - 0.18954 * x18 - 0.0839 * x19 - x22 = 0;
e16:  x11 - 0.93076 * x18 - 0.06924 * x19 = 0;
e17:  x12 - 0.93774 * x18 - 0.06226 * x19 = 0;
e18:  x13 - 0.9308 * x18 - 0.0692 * x19 = 0;
e19:  -0.33263 * x17 - 0.43486 * x18 - 0.23251 * x19 + x24 = 0;
e20:  -0.61447 * x49^0.38258 * x50^0.0674 * x40^0.55002 + x28 = 0;
e21:  -1.60111 * x53^0.53476 * x41^0.46524 + x29 = 0;
e22:  -0.52019 * x56^0.16234 * x57^0.42326 * x42^0.4144 + x30 = 0;
e23:  x43 * x49 - 0.38258 * x28 * x20 = 0;
e24:  0.5278 * x44 * x50 - 0.0674 * x28 * x20 = 0;
e25:  1.21879 * x44 * x53 - 0.53476 * x29 * x21 = 0;
e26:  1.11541 * x44 * x56 - 0.16234 * x30 * x22 = 0;
e27:  x45 * x57 - 0.42326 * x30 * x22 = 0;
e28:  -x46 + x49 + x52 + x55 = 0;
e29:  -x47 + x50 + x53 + x56 = 0;
e30:  -x48 + x51 + x54 + x57 = 0;
e31:  -3.85424 * (0.86628 * x34^1.5 + 0.13372 * x31^1.5)^0.666666666666667 +
      x28 = 0;
e32:  -3.51886 * (0.84602 * x35^1.5 + 0.15398 * x32^1.5)^0.666666666666667 +
      x29 = 0;
e33:  -3.23592 * (0.82436 * x36^1.5 + 0.17564 * x33^1.5)^0.666666666666667 +
      x30 = 0;
e34:  x34 / x31 - (0.154361176524911 * x8 / x2)^2 = 0;
e35:  x35 / x32 - (0.182005153542469 * x9 / x3)^2 = 0;
e36:  x36 / x33 - (0.213062254354893 * x10 / x4)^2 = 0;
e37:  -1.59539 * (0.2482 * x37^0.5 + 0.7518 * x31^0.5)^2 + x25 = 0;
e38:  -1.34652 * (0.05111 * x38^(-0.515151515151515) + 0.94889 * x32^(
      -0.515151515151515))^(-1.94117647058824) + x26 = 0;
e39:  -1.01839 * (1e-05 * x39^(-1.5) + 0.99999 * x33^(-1.5))^(
      -0.666666666666667) + x27 = 0;
e40:  x37 / x31 - (0.330140994945464 * x2 / x5)^2 = 0;
e41:  x38 / x32 - (0.0538629345867277 * x3 / x6)^0.66 = 0;
e42:  x39 / x33 - (1.0000100001e-05 * x4 / x7)^0.4 = 0;
e43:  -0.12591 * x28 - 0.19834 * x29 - 0.01407 * x30 + x58 = 0;
e44:  -0.10353 * x28 - 0.35524 * x29 - 0.18954 * x30 + x59 = 0;
e45:  -0.02358 * x28 - 0.11608 * x29 - 0.0839 * x30 + x60 = 0;
e46:  x17 * x61 - x93 * (0.428123 - 0.428123 * x84) - x94 * (0.428123 -
      0.428123 * x85) = 0;
e47:  x18 * x62 - x93 * (0.291478891 - 0.291478891 * x84) - x94 * (0.291478891
      - 0.291478891 * x85) = 0;
e48:  x19 * x63 - x93 * (0.191298109 - 0.191298109 * x84) - x94 * (0.191298109
      - 0.191298109 * x85) = 0;
e49:  x70 = 0;
e50:  x71 = 0;
e51:  x72 = 0;
e52:  x73 - x93 - x94 = 0;
e53:  -x43 * x46 - x44 * x47 - x45 * x48 - x91 * x1 + x93 = 0;
e54:  -x20 * x28 - x21 * x29 - x22 * x30 - (-x43 * x46 - x44 * x47 - x45 * x48)
      - x92 * x1 + x81 - x90 + x94 = 0;
e55:  -0.0891 * x93 - 0.0891 * x94 + x95 = 0;
e56:  x64 - 0.02 * x78 = 0;
e57:  x65 - 0.07 * x78 = 0;
e58:  x66 - 0.91 * x78 = 0;
e59:  x74 - x75 - x76 + x77 - x95 = 0;
e60:  -x1 * (0.090909 * x37 + 0.1853432966 * x38 + 0.0747939764 * x39) + x75
      = 0;
e61:  -x1 * (0.90909 * x37 + 0.81466 * x38 + 0.92521 * x39) * x23 + x90 = 0;
e62:  -0.01 * x14 * x28 - 0.0392 * x15 * x29 - 0.05 * x16 * x30 + x76 = 0;
e63:  x77 = 0;
e64:  -0.9109 * x84 * x93 - 0.9109 * x85 * x94 + x79 = 0;
e65:  -x17 * x64 - x18 * x65 - x19 * x66 + x74 - x80 = 0;
e66:  x81 = 0;
e67:  -x86 * x1 - x79 - x80 - x81 + x83 = 0;
e68:  x11 * x87 + 0.13 * (x70 * x17 + x71 * x18 + x72 * x19) - 0.13 * x82 = 0;
e69:  x12 * x88 + 0.29 * (x70 * x17 + x71 * x18 + x72 * x19) - 0.29 * x82 = 0;
e70:  x13 * x89 + 0.58 * (x70 * x17 + x71 * x18 + x72 * x19) - 0.58 * x82 = 0;
e71:  x67 = 0;
e72:  x68 - 0.93076 * x87 - 0.93774 * x88 - 0.9308 * x89 = 0;
e73:  x69 - 0.06924 * x87 - 0.06226 * x88 - 0.0692 * x89 = 0;
e74:  -x34 - x35 - x36 + 0.90909 * x37 + 0.81466 * x38 + 0.92521 * x39 - x86 -
      x91 - x92 = 0;
e75:  x25 - x58 - x61 - x64 - x67 - x70 = 0;
e76:  x26 - x59 - x62 - x65 - x68 - x71 = 0;
e77:  x27 - x60 - x63 - x66 - x69 - x72 = 0;