#  NLP written by GAMS Convert at 01/12/18 13:32:09
#  
#  Equation counts
#      Total        E        G        L        N        X        C        B
#          5        5        0        0        0        0        0        0
#  
#  Variable counts
#                   x        b        i      s1s      s2s       sc       si
#      Total     cont   binary  integer     sos1     sos2    scont     sint
#          7        7        0        0        0        0        0        0
#  FX      0        0        0        0        0        0        0        0
#  
#  Nonzero counts
#      Total    const       NL      DLL
#         21        9       12        0
# 
#  Reformulation has removed 1 variable and 1 equation


var x2 := 0.333333333333333, >= 0;
var x3 := 0.333333333333333, >= 0;
var x4 := 0.333333333333333, >= 0;
var x5 := 2, >= 0;
var x6 := 1;
var x7 := 1;

minimize obj: log(x2)*x2 + log(x3)*x3 + log(x4)*x4 + x7/(x5 - x7) - log(x5 - x7
    ) - 2*x6/x5 + 0.430983578191493*x2 + 3.80082402249182*x3 + 2.92297302249182
    *x4;

subject to

e2: x5^3 - x5^2*(1 + x7) + x6*x5 - x6*x7 = 0;

e3: -(0.37943*x2*x2 + 0.75885*x2*x3 + 0.48991*x2*x4 + 0.75885*x3*x2 + 0.8836*x3
    *x3 + 0.23612*x3*x4 + 0.48991*x4*x2 + 0.23612*x4*x3 + 0.63263*x4*x4) + x6
     = 0;

e4:  - 0.14998*x2 - 0.14998*x3 - 0.14998*x4 + x7 = 0;

e5:    x2 + x3 + x4 = 1;