#  NLP written by GAMS Convert at 01/12/18 13:31:59
#  
#  Equation counts
#      Total        E        G        L        N        X        C        B
#          4        4        0        0        0        0        0        0
#  
#  Variable counts
#                   x        b        i      s1s      s2s       sc       si
#      Total     cont   binary  integer     sos1     sos2    scont     sint
#         10       10        0        0        0        0        0        0
#  FX      0        0        0        0        0        0        0        0
#  
#  Nonzero counts
#      Total    const       NL      DLL
#         19       10        9        0
# 
#  Reformulation has removed 1 variable and 1 equation


var x2 := 31.459, >= 1E-7, <= 40.30707;
var x3 := 0.901998, >= 1E-7, <= 40.30707;
var x4 := 1E-7, >= 1E-7, <= 40.30707;
var x5 := 3.10348, >= 1E-7, <= 5.14979;
var x6 := 9.6E-6, >= 1E-7, <= 5.14979;
var x7 := 1E-7, >= 1E-7, <= 5.14979;
var x8 := 26.1669, >= 1E-7, <= 54.54314;
var x9 := 15.0141, >= 1E-7, <= 54.54314;
var x10 := 1E-7, >= 1E-7, <= 54.54314;

minimize obj: (0.156969560191053 + log(x4/(x4 + x7 + x10)))*x4 + (
    0.156969560191053 + log(x7/(x4 + x7 + x10)))*x7 + (0.156969560191053 + log(
    x10/(x4 + x7 + x10)))*x10 + log(3.9235*x2 + 6.0909*x5 + 0.92*x8)*(
    26.9071667605344*x2 + 41.7710875549227*x5 + 6.30931398488382*x8) + 
    0.113370955614741*x2 - 2.43897680885457*x5 + 2.8555953099828*x8 + 
    9.58716676053442*log(x2)*x2 + 16.9310875549227*log(x5)*x5 + 
    0.309313984883821*log(x8)*x8 - 9.58716676053442*log(3.9235*x2 + 6.0909*x5
     + 0.92*x8)*x2 - 16.9310875549227*log(3.9235*x2 + 6.0909*x5 + 0.92*x8)*x5
     - 0.309313984883821*log(3.9235*x2 + 6.0909*x5 + 0.92*x8)*x8 + 18.32*log(x2
    )*x2 + 25.84*log(x5)*x5 + 7*log(x8)*x8 - 18.32*log(3.664*x2 + 5.168*x5 + 
    1.4*x8)*x2 - 25.84*log(3.664*x2 + 5.168*x5 + 1.4*x8)*x5 - 7*log(3.664*x2 + 
    5.168*x5 + 1.4*x8)*x8 + log(4.0643*x2 + 5.7409*x5 + 1.6741*x8)*(4.0643*x2
     + 5.7409*x5 + 1.6741*x8) + 4.0643*log(x2)*x2 + 5.7409*log(x5)*x5 + 1.6741*
    log(x8)*x8 - 4.0643*log(4.0643*x2 + 3.22644664511275*x5 + 1.44980651607875*
    x8)*x2 - 5.7409*log(5.31147575751424*x2 + 5.7409*x5 + 0.00729924451284409*
    x8)*x5 - 1.6741*log(2.25846661774355*x2 + 3.70876916588753*x5 + 1.6741*x8)*
    x8 + log(3.9235*x3 + 6.0909*x6 + 0.92*x9)*(26.9071667605344*x3 + 
    41.7710875549227*x6 + 6.30931398488382*x9) + 0.113370955614741*x3 - 
    2.43897680885457*x6 + 2.8555953099828*x9 + 9.58716676053442*log(x3)*x3 + 
    16.9310875549227*log(x6)*x6 + 0.309313984883821*log(x9)*x9 - 
    9.58716676053442*log(3.9235*x3 + 6.0909*x6 + 0.92*x9)*x3 - 16.9310875549227
    *log(3.9235*x3 + 6.0909*x6 + 0.92*x9)*x6 - 0.309313984883821*log(3.9235*x3
     + 6.0909*x6 + 0.92*x9)*x9 + 18.32*log(x3)*x3 + 25.84*log(x6)*x6 + 7*log(x9
    )*x9 - 18.32*log(3.664*x3 + 5.168*x6 + 1.4*x9)*x3 - 25.84*log(3.664*x3 + 
    5.168*x6 + 1.4*x9)*x6 - 7*log(3.664*x3 + 5.168*x6 + 1.4*x9)*x9 + log(4.0643
    *x3 + 5.7409*x6 + 1.6741*x9)*(4.0643*x3 + 5.7409*x6 + 1.6741*x9) + 4.0643*
    log(x3)*x3 + 5.7409*log(x6)*x6 + 1.6741*log(x9)*x9 - 4.0643*log(4.0643*x3
     + 3.22644664511275*x6 + 1.44980651607875*x9)*x3 - 5.7409*log(
    5.31147575751424*x3 + 5.7409*x6 + 0.00729924451284409*x9)*x6 - 1.6741*log(
    2.25846661774355*x3 + 3.70876916588753*x6 + 1.6741*x9)*x9 - 0.3658348*x2 - 
    0.3658348*x3 - 0.9825555*x5 - 0.9825555*x6 - 0.3663657*x8 - 0.3663657*x9 - 
    30.9714667605344*log(x2)*x2 - 47.5119875549227*log(x5)*x5 - 
    7.98341398488382*log(x8)*x8 - 30.9714667605344*log(x3)*x3 - 
    47.5119875549227*log(x6)*x6 - 7.98341398488382*log(x9)*x9;

subject to

e2:    x2 + x3 + x4 = 40.30707;

e3:    x5 + x6 + x7 = 5.14979;

e4:    x8 + x9 + x10 = 54.54314;