#  NLP written by GAMS Convert at 01/12/18 13:29:59
#  
#  Equation counts
#      Total        E        G        L        N        X        C        B
#         78       68       10        0        0        0        0        0
#  
#  Variable counts
#                   x        b        i      s1s      s2s       sc       si
#      Total     cont   binary  integer     sos1     sos2    scont     sint
#         87       87        0        0        0        0        0        0
#  FX      0        0        0        0        0        0        0        0
#  
#  Nonzero counts
#      Total    const       NL      DLL
#        619      179      440        0
# 
#  Reformulation has removed 1 variable and 1 equation


var x1 >= 0;
var x2 := 1, >= 0, <= 10000;
var x3 := 1, >= 0, <= 10000;
var x4 := 1, >= 0, <= 10000;
var x5 := 1, >= 0, <= 10000;
var x6 := 1, >= 0, <= 10000;
var x7 := 1, >= 0, <= 10000;
var x8 := 1, >= 0, <= 10000;
var x9 := 1, >= 0, <= 10000;
var x10 := 1, >= 0, <= 10000;
var x11 := 1, >= 0, <= 10000;
var x12 := 0.01, >= 0, <= 1;
var x13 := 0.01, >= 0, <= 1;
var x14 := 0.01, >= 0, <= 1;
var x15 := 0.01, >= 0, <= 1;
var x16 := 0.01, >= 0, <= 1;
var x17 := 0.01, >= 0, <= 1;
var x18 := 0.01, >= 0, <= 1;
var x19 := 0.01, >= 0, <= 1;
var x20 := 0.01, >= 0, <= 1;
var x21 := 0.01, >= 0, <= 1;
var x22 := 0.01, >= 0, <= 1;
var x23 := 0.01, >= 0, <= 1;
var x24 := 0.01, >= 0, <= 1;
var x25 := 0.01, >= 0, <= 1;
var x26 := 0.01, >= 0, <= 1;
var x27 := 0.01, >= 0, <= 1;
var x28 := 0.01, >= 0, <= 1;
var x29 := 0.01, >= 0, <= 1;
var x30 := 0.01, >= 0, <= 1;
var x31 := 0.01, >= 0, <= 1;
var x32 := 0.01, >= 0, <= 1;
var x33 := 0.01, >= 0, <= 1;
var x34 := 0.01, >= 0, <= 1;
var x35 := 0.01, >= 0, <= 1;
var x36 := 0.01, >= 0, <= 1;
var x37 := 0.01, >= 0, <= 1;
var x38 := 0.01, >= 0, <= 1;
var x39 := 0.01, >= 0, <= 1;
var x40 := 0.01, >= 0, <= 1;
var x41 := 0.01, >= 0, <= 1;
var x42 := 0.01, >= 0, <= 1;
var x43 := 0.01, >= 0, <= 1;
var x44 := 0.01, >= 0, <= 1;
var x45 := 0.01, >= 0, <= 1;
var x46 := 0.01, >= 0, <= 1;
var x47 := 0.01, >= 0, <= 1;
var x48 := 0.01, >= 0, <= 1;
var x49 := 0.01, >= 0, <= 1;
var x50 := 0.01, >= 0, <= 1;
var x51 := 0.01, >= 0, <= 1;
var x52 := 0.01, >= 0, <= 1;
var x53 := 0.01, >= 0, <= 1;
var x54 := 0.01, >= 0, <= 1;
var x55 := 0.01, >= 0, <= 1;
var x56 := 0.01, >= 0, <= 1;
var x57 := 0.01, >= 0, <= 1;
var x58 := 0.01, >= 0, <= 1;
var x59 := 0.01, >= 0, <= 1;
var x60 := 0.01, >= 0, <= 1;
var x61 := 0.01, >= 0, <= 1;
var x62 := 0.01, >= 0, <= 1;
var x63 := 0.01, >= 0, <= 1;
var x64 := 0.01, >= 0, <= 1;
var x65 := 0.01, >= 0, <= 1;
var x66 := 0.01, >= 0, <= 1;
var x67 >= 0, <= 1000;
var x68 >= 0, <= 1000;
var x69 >= 0, <= 1000;
var x70 >= 0, <= 1000;
var x71 >= 0, <= 1000;
var x72 >= 0, <= 1000;
var x73 >= 0, <= 1000;
var x74 >= 0, <= 1000;
var x75 >= 0, <= 1000;
var x76 >= 0, <= 1000;
var x77 >= 0, <= 1000;
var x78 >= 0, <= 1000;
var x79 >= 0, <= 1000;
var x80 >= 0, <= 1000;
var x81 >= 0, <= 1000;
var x82 >= 0, <= 1000;
var x83 >= 0, <= 1000;
var x84 >= 0, <= 1000;
var x85 >= 0, <= 1000;
var x86 >= 0, <= 1000;

minimize obj:    x67 + x68 + x69 + x70 + x71 + x72 + x73 + x74 + x75 + x76
     + x77 + x78 + x79 + x80 + x81 + x82 + x83 + x84 + x85 + x86;

subject to

e1: 0.299999999999999*x2 - x12*(0.299999999999999*x2 + 0.420042004200419*x3 + 
    0.441069311972204*x4 + 0.411670573863023*x5 + 0.360201456247447*x6 + 
    0.30254760034903*x7 + 0.247052285556172*x8 + 0.197610748687493*x9 + 
    0.15558731597959*x10 + 0.120982941684104*x11) = 0;

e2: 0.420042004200419*x3 - x13*(0.299999999999999*x2 + 0.420042004200419*x3 + 
    0.441069311972204*x4 + 0.411670573863023*x5 + 0.360201456247447*x6 + 
    0.30254760034903*x7 + 0.247052285556172*x8 + 0.197610748687493*x9 + 
    0.15558731597959*x10 + 0.120982941684104*x11) = 0;

e3: 0.0899789978997899*x3 - x14*(0.0899789978997899*x3 + 0.188993694328424*x4
     + 0.264632763149874*x5 + 0.308773522162667*x6 + 0.324235367869763*x7 + 
    0.317759744553093*x8 + 0.296571521818452*x9 + 0.266899105175344*x10 + 
    0.233513342319487*x11) = 0;

e4: 0.441069311972204*x4 - x15*(0.299999999999999*x2 + 0.420042004200419*x3 + 
    0.441069311972204*x4 + 0.411670573863023*x5 + 0.360201456247447*x6 + 
    0.30254760034903*x7 + 0.247052285556172*x8 + 0.197610748687493*x9 + 
    0.15558731597959*x10 + 0.120982941684104*x11) = 0;

e5: 0.188993694328424*x4 - x16*(0.0899789978997899*x3 + 0.188993694328424*x4 + 
    0.264632763149874*x5 + 0.308773522162667*x6 + 0.324235367869763*x7 + 
    0.317759744553093*x8 + 0.296571521818452*x9 + 0.266899105175344*x10 + 
    0.233513342319487*x11) = 0;

e6: 0.026981099790315*x4 - x17*(0.026981099790315*x4 + 0.0755697503379837*x5 + 
    0.132281083087121*x6 + 0.185233220498984*x7 + 0.22694961744096*x8 + 
    0.25421627517133*x9 + 0.266949986712887*x10 + 0.266961437732522*x11) = 0;

e7: 0.411670573863023*x5 - x18*(0.299999999999999*x2 + 0.420042004200419*x3 + 
    0.441069311972204*x4 + 0.411670573863023*x5 + 0.360201456247447*x6 + 
    0.30254760034903*x7 + 0.247052285556172*x8 + 0.197610748687493*x9 + 
    0.15558731597959*x10 + 0.120982941684104*x11) = 0;

e8: 0.264632763149874*x5 - x19*(0.0899789978997899*x3 + 0.188993694328424*x4 + 
    0.264632763149874*x5 + 0.308773522162667*x6 + 0.324235367869763*x7 + 
    0.317759744553093*x8 + 0.296571521818452*x9 + 0.266899105175344*x10 + 
    0.233513342319487*x11) = 0;

e9: 0.0755697503379837*x5 - x20*(0.026981099790315*x4 + 0.0755697503379837*x5
     + 0.132281083087121*x6 + 0.185233220498984*x7 + 0.22694961744096*x8 + 
    0.25421627517133*x9 + 0.266949986712887*x10 + 0.266961437732522*x11) = 0;

e10: 0.00808866220581916*x5 - x21*(0.00808866220581916*x5 + 0.0283216463789187*
     x6 + 0.0594967092564436*x7 + 0.0972085184322643*x8 + 0.136128890917752*x9
      + 0.171561639066158*x10 + 0.200192450750305*x11) = 0;

e11: 0.360201456247447*x6 - x22*(0.299999999999999*x2 + 0.420042004200419*x3 + 
     0.441069311972204*x4 + 0.411670573863023*x5 + 0.360201456247447*x6 + 
     0.30254760034903*x7 + 0.247052285556172*x8 + 0.197610748687493*x9 + 
     0.15558731597959*x10 + 0.120982941684104*x11) = 0;

e12: 0.308773522162667*x6 - x23*(0.0899789978997899*x3 + 0.188993694328424*x4
      + 0.264632763149874*x5 + 0.308773522162667*x6 + 0.324235367869763*x7 + 
     0.317759744553093*x8 + 0.296571521818452*x9 + 0.266899105175344*x10 + 
     0.233513342319487*x11) = 0;

e13: 0.132281083087121*x6 - x24*(0.026981099790315*x4 + 0.0755697503379837*x5
      + 0.132281083087121*x6 + 0.185233220498984*x7 + 0.22694961744096*x8 + 
     0.25421627517133*x9 + 0.266949986712887*x10 + 0.266961437732522*x11) = 0;

e14: 0.0283216463789187*x6 - x25*(0.00808866220581916*x5 + 0.0283216463789187*
     x6 + 0.0594967092564436*x7 + 0.0972085184322643*x8 + 0.136128890917752*x9
      + 0.171561639066158*x10 + 0.200192450750305*x11) = 0;

e15: 0.00242433293003544*x6 - x26*(0.00242433293003544*x6 + 0.0101872919521249*
     x7 + 0.0249702818996627*x8 + 0.0466305167574201*x9 + 0.0734703645857939*
     x10 + 0.102892337231952*x11) = 0;

e16: 0.30254760034903*x7 - x27*(0.299999999999999*x2 + 0.420042004200419*x3 + 
     0.441069311972204*x4 + 0.411670573863023*x5 + 0.360201456247447*x6 + 
     0.30254760034903*x7 + 0.247052285556172*x8 + 0.197610748687493*x9 + 
     0.15558731597959*x10 + 0.120982941684104*x11) = 0;

e17: 0.324235367869763*x7 - x28*(0.0899789978997899*x3 + 0.188993694328424*x4
      + 0.264632763149874*x5 + 0.308773522162667*x6 + 0.324235367869763*x7 + 
     0.317759744553093*x8 + 0.296571521818452*x9 + 0.266899105175344*x10 + 
     0.233513342319487*x11) = 0;

e18: 0.185233220498984*x7 - x29*(0.026981099790315*x4 + 0.0755697503379837*x5
      + 0.132281083087121*x6 + 0.185233220498984*x7 + 0.22694961744096*x8 + 
     0.25421627517133*x9 + 0.266949986712887*x10 + 0.266961437732522*x11) = 0;

e19: 0.0594967092564436*x7 - x30*(0.00808866220581916*x5 + 0.0283216463789187*
     x6 + 0.0594967092564436*x7 + 0.0972085184322643*x8 + 0.136128890917752*x9
      + 0.171561639066158*x10 + 0.200192450750305*x11) = 0;

e20: 0.0101872919521249*x7 - x31*(0.00242433293003544*x6 + 0.0101872919521249*
     x7 + 0.0249702818996627*x8 + 0.0466305167574201*x9 + 0.0734703645857939*
     x10 + 0.102892337231952*x11) = 0;

e21: 0.000726450938014618*x7 - x32*(0.000726450938014618*x7 + 
     0.00356174664425821*x8 + 0.0099784508208397*x9 + 0.0209655320789341*x10 + 
     0.0367069932830306*x11) = 0;

e22: 0.247052285556172*x8 - x33*(0.299999999999999*x2 + 0.420042004200419*x3 + 
     0.441069311972204*x4 + 0.411670573863023*x5 + 0.360201456247447*x6 + 
     0.30254760034903*x7 + 0.247052285556172*x8 + 0.197610748687493*x9 + 
     0.15558731597959*x10 + 0.120982941684104*x11) = 0;

e23: 0.317759744553093*x8 - x34*(0.0899789978997899*x3 + 0.188993694328424*x4
      + 0.264632763149874*x5 + 0.308773522162667*x6 + 0.324235367869763*x7 + 
     0.317759744553093*x8 + 0.296571521818452*x9 + 0.266899105175344*x10 + 
     0.233513342319487*x11) = 0;

e24: 0.22694961744096*x8 - x35*(0.026981099790315*x4 + 0.0755697503379837*x5 + 
     0.132281083087121*x6 + 0.185233220498984*x7 + 0.22694961744096*x8 + 
     0.25421627517133*x9 + 0.266949986712887*x10 + 0.266961437732522*x11) = 0;

e25: 0.0972085184322643*x8 - x36*(0.00808866220581916*x5 + 0.0283216463789187*
     x6 + 0.0594967092564436*x7 + 0.0972085184322643*x8 + 0.136128890917752*x9
      + 0.171561639066158*x10 + 0.200192450750305*x11) = 0;

e26: 0.0249702818996627*x8 - x37*(0.00242433293003544*x6 + 0.0101872919521249*
     x7 + 0.0249702818996627*x8 + 0.0466305167574201*x9 + 0.0734703645857939*
     x10 + 0.102892337231952*x11) = 0;

e27: 0.00356174664425821*x8 - x38*(0.000726450938014618*x7 + 
     0.00356174664425821*x8 + 0.0099784508208397*x9 + 0.0209655320789341*x10 + 
     0.0367069932830306*x11) = 0;

e28: 0.000217629988834878*x8 - x39*(0.000217629988834878*x8 + 
     0.00121958164462655*x9 + 0.00384420873582218*x10 + 0.00897533537960286*x11
     ) = 0;

e29: 0.197610748687493*x9 - x40*(0.299999999999999*x2 + 0.420042004200419*x3 + 
     0.441069311972204*x4 + 0.411670573863023*x5 + 0.360201456247447*x6 + 
     0.30254760034903*x7 + 0.247052285556172*x8 + 0.197610748687493*x9 + 
     0.15558731597959*x10 + 0.120982941684104*x11) = 0;

e30: 0.296571521818452*x9 - x41*(0.0899789978997899*x3 + 0.188993694328424*x4
      + 0.264632763149874*x5 + 0.308773522162667*x6 + 0.324235367869763*x7 + 
     0.317759744553093*x8 + 0.296571521818452*x9 + 0.266899105175344*x10 + 
     0.233513342319487*x11) = 0;

e31: 0.25421627517133*x9 - x42*(0.026981099790315*x4 + 0.0755697503379837*x5 + 
     0.132281083087121*x6 + 0.185233220498984*x7 + 0.22694961744096*x8 + 
     0.25421627517133*x9 + 0.266949986712887*x10 + 0.266961437732522*x11) = 0;

e32: 0.136128890917752*x9 - x43*(0.00808866220581916*x5 + 0.0283216463789187*x6
      + 0.0594967092564436*x7 + 0.0972085184322643*x8 + 0.136128890917752*x9 + 
     0.171561639066158*x10 + 0.200192450750305*x11) = 0;

e33: 0.0466305167574201*x9 - x44*(0.00242433293003544*x6 + 0.0101872919521249*
     x7 + 0.0249702818996627*x8 + 0.0466305167574201*x9 + 0.0734703645857939*
     x10 + 0.102892337231952*x11) = 0;

e34: 0.0099784508208397*x9 - x45*(0.000726450938014618*x7 + 0.00356174664425821
     *x8 + 0.0099784508208397*x9 + 0.0209655320789341*x10 + 0.0367069932830306*
     x11) = 0;

e35: 0.00121958164462655*x9 - x46*(0.000217629988834878*x8 + 
     0.00121958164462655*x9 + 0.00384420873582218*x10 + 0.00897533537960286*x11
     ) = 0;

e36: 6.51822832565586e-5*x9 - x47*(6.51822832565586e-5*x9 + 
     0.000410977166249314*x10 + 0.00143951015242667*x11) = 0;

e37: 0.15558731597959*x10 - x48*(0.299999999999999*x2 + 0.420042004200419*x3 + 
     0.441069311972204*x4 + 0.411670573863023*x5 + 0.360201456247447*x6 + 
     0.30254760034903*x7 + 0.247052285556172*x8 + 0.197610748687493*x9 + 
     0.15558731597959*x10 + 0.120982941684104*x11) = 0;

e38: 0.266899105175344*x10 - x49*(0.0899789978997899*x3 + 0.188993694328424*x4
      + 0.264632763149874*x5 + 0.308773522162667*x6 + 0.324235367869763*x7 + 
     0.317759744553093*x8 + 0.296571521818452*x9 + 0.266899105175344*x10 + 
     0.233513342319487*x11) = 0;

e39: 0.266949986712887*x10 - x50*(0.026981099790315*x4 + 0.0755697503379837*x5
      + 0.132281083087121*x6 + 0.185233220498984*x7 + 0.22694961744096*x8 + 
     0.25421627517133*x9 + 0.266949986712887*x10 + 0.266961437732522*x11) = 0;

e40: 0.171561639066158*x10 - x51*(0.00808866220581916*x5 + 0.0283216463789187*
     x6 + 0.0594967092564436*x7 + 0.0972085184322643*x8 + 0.136128890917752*x9
      + 0.171561639066158*x10 + 0.200192450750305*x11) = 0;

e41: 0.0734703645857939*x10 - x52*(0.00242433293003544*x6 + 0.0101872919521249*
     x7 + 0.0249702818996627*x8 + 0.0466305167574201*x9 + 0.0734703645857939*
     x10 + 0.102892337231952*x11) = 0;

e42: 0.0209655320789341*x10 - x53*(0.000726450938014618*x7 + 
     0.00356174664425821*x8 + 0.0099784508208397*x9 + 0.0209655320789341*x10 + 
     0.0367069932830306*x11) = 0;

e43: 0.00384420873582218*x10 - x54*(0.000217629988834878*x8 + 
     0.00121958164462655*x9 + 0.00384420873582218*x10 + 0.00897533537960286*x11
     ) = 0;

e44: 0.000410977166249314*x10 - x55*(6.51822832565586e-5*x9 + 
     0.000410977166249314*x10 + 0.00143951015242667*x11) = 0;

e45: 1.95181536733007e-5*x10 - x56*(1.95181536733007e-5*x10 + 
     0.000136750150848869*x11) = 0;

e46: 0.120982941684104*x11 - x57*(0.299999999999999*x2 + 0.420042004200419*x3
      + 0.441069311972204*x4 + 0.411670573863023*x5 + 0.360201456247447*x6 + 
     0.30254760034903*x7 + 0.247052285556172*x8 + 0.197610748687493*x9 + 
     0.15558731597959*x10 + 0.120982941684104*x11) = 0;

e47: 0.233513342319487*x11 - x58*(0.0899789978997899*x3 + 0.188993694328424*x4
      + 0.264632763149874*x5 + 0.308773522162667*x6 + 0.324235367869763*x7 + 
     0.317759744553093*x8 + 0.296571521818452*x9 + 0.266899105175344*x10 + 
     0.233513342319487*x11) = 0;

e48: 0.266961437732522*x11 - x59*(0.026981099790315*x4 + 0.0755697503379837*x5
      + 0.132281083087121*x6 + 0.185233220498984*x7 + 0.22694961744096*x8 + 
     0.25421627517133*x9 + 0.266949986712887*x10 + 0.266961437732522*x11) = 0;

e49: 0.200192450750305*x11 - x60*(0.00808866220581916*x5 + 0.0283216463789187*
     x6 + 0.0594967092564436*x7 + 0.0972085184322643*x8 + 0.136128890917752*x9
      + 0.171561639066158*x10 + 0.200192450750305*x11) = 0;

e50: 0.102892337231952*x11 - x61*(0.00242433293003544*x6 + 0.0101872919521249*
     x7 + 0.0249702818996627*x8 + 0.0466305167574201*x9 + 0.0734703645857939*
     x10 + 0.102892337231952*x11) = 0;

e51: 0.0367069932830306*x11 - x62*(0.000726450938014618*x7 + 
     0.00356174664425821*x8 + 0.0099784508208397*x9 + 0.0209655320789341*x10 + 
     0.0367069932830306*x11) = 0;

e52: 0.00897533537960286*x11 - x63*(0.000217629988834878*x8 + 
     0.00121958164462655*x9 + 0.00384420873582218*x10 + 0.00897533537960286*x11
     ) = 0;

e53: 0.00143951015242667*x11 - x64*(6.51822832565586e-5*x9 + 
     0.000410977166249314*x10 + 0.00143951015242667*x11) = 0;

e54: 0.000136750150848869*x11 - x65*(1.95181536733007e-5*x10 + 
     0.000136750150848869*x11) = 0;

e55: 5.84313858841381e-6*x11 - 5.84313858841381e-6*x66*x11 = 0;

e56:    0.300000000000001*x2 - 424*x12 - x67 + x77 = 0;

e57:    0.510021002100211*x3 - 424*x13 - 208*x14 - x68 + x78 = 0;

e58:    0.657044106090946*x4 - 424*x15 - 208*x16 - 243*x17 - x69 + x79 = 0;

e59:    0.7599617495567*x5 - 424*x18 - 208*x19 - 243*x20 - 191*x21 - x70 + x80
      = 0;

e60:    0.83200204080619*x6 - 424*x22 - 208*x23 - 243*x24 - 191*x25 - 79*x26
      - x71 + x81 = 0;

e61:    0.882426640864363*x7 - 424*x27 - 208*x28 - 243*x29 - 191*x30 - 79*x31
      - 31*x32 - x72 + x82 = 0;

e62:    0.917719824515245*x8 - 424*x33 - 208*x34 - 243*x35 - 191*x36 - 79*x37
      - 31*x38 - 10*x39 - x73 + x83 = 0;

e63:    0.942421168101182*x9 - 424*x40 - 208*x41 - 243*x42 - 191*x43 - 79*x44
      - 31*x45 - 10*x46 - 2*x47 - x74 + x84 = 0;

e64:    0.959708647654471*x10 - 424*x48 - 208*x49 - 243*x50 - 191*x51 - 79*x52
      - 31*x53 - 10*x54 - 2*x55 - x75 + x85 = 0;

e65:    0.971806941822881*x11 - 424*x57 - 208*x58 - 243*x59 - 191*x60 - 79*x61
      - 31*x62 - 10*x63 - 2*x64 - x76 + x86 = 0;

e66:    x2 + 2*x3 + 3*x4 + 4*x5 + 5*x6 + 6*x7 + 7*x8 + 8*x9 + 9*x10 + 10*x11
      = 10000;

e67:    x2 + x3 + x4 + x5 + x6 + x7 + x8 + x9 + x10 + x11 >= 424;

e68:    x3 + x4 + x5 + x6 + x7 + x8 + x9 + x10 + x11 >= 208;

e69:    x4 + x5 + x6 + x7 + x8 + x9 + x10 + x11 >= 243;

e70:    x5 + x6 + x7 + x8 + x9 + x10 + x11 >= 191;

e71:    x6 + x7 + x8 + x9 + x10 + x11 >= 79;

e72:    x7 + x8 + x9 + x10 + x11 >= 31;

e73:    x8 + x9 + x10 + x11 >= 10;

e74:    x9 + x10 + x11 >= 2;

e75:    x10 + x11 >= 0;

e76:    x11 >= 0;

e77:  - x1 + x2 + x3 + x4 + x5 + x6 + x7 + x8 + x9 + x10 + x11 = 0;