# NLP written by GAMS Convert at 02/17/22 17:19:07
#
# Equation counts
#     Total        E        G        L        N        X        C        B
#         1        1        0        0        0        0        0        0
#
# Variable counts
#                  x        b        i      s1s      s2s       sc       si
#     Total     cont   binary  integer     sos1     sos2    scont     sint
#         3        3        0        0        0        0        0        0
# FX      0
#
# Nonzero counts
#     Total    const       NL
#         3        3        0
#
# Reformulation has removed 1 variable and 1 equation

from pyomo.environ import *

model = m = ConcreteModel()

m.x1 = Var(within=Reals, bounds=(1e-06,1), initialize=0.00565)
m.x2 = Var(within=Reals, bounds=(1e-06,1), initialize=0.99054)
m.x3 = Var(within=Reals, bounds=(1e-06,1), initialize=0.00381)

m.obj = Objective(sense=minimize, expr= log(2.1055 * m.x1 + 3.1878 * m.x2 +
    0.92 * m.x3) * (15.3261663216011 * m.x1 + 23.2043471859416 * m.x2 +
    6.69678129464404 * m.x3) + 1.04055250396734 * m.x1 - 2.24199441248417 *
    m.x2 + 3.1618173099828 * m.x3 + 6.4661663216011 * log(m.x1 / (2.1055 * m.x1
    + 3.1878 * m.x2 + 0.92 * m.x3)) * m.x1 + 12.2043471859416 * log(m.x2 / (
    2.1055 * m.x1 + 3.1878 * m.x2 + 0.92 * m.x3)) * m.x2 + 0.696781294644034 *
    log(m.x3 / (2.1055 * m.x1 + 3.1878 * m.x2 + 0.92 * m.x3)) * m.x3 + 9.86 *
    log(m.x1 / (1.972 * m.x1 + 2.4 * m.x2 + 1.4 * m.x3)) * m.x1 + 12 * log(m.x2
    / (1.972 * m.x1 + 2.4 * m.x2 + 1.4 * m.x3)) * m.x2 + 7 * log(m.x3 / (1.972
    * m.x1 + 2.4 * m.x2 + 1.4 * m.x3)) * m.x3 + log(1.972 * m.x1 + 2.4 * m.x2
    + 1.4 * m.x3) * (1.972 * m.x1 + 2.4 * m.x2 + 1.4 * m.x3) + 1.972 * log(
    m.x1 / (1.972 * m.x1 + 0.283910843616504 * m.x2 + 3.02002220174195 * m.x3))
    * m.x1 + 2.4 * log(m.x2 / (1.45991339466884 * m.x1 + 2.4 * m.x2 +
    0.415073537580851 * m.x3)) * m.x2 + 1.4 * log(m.x3 / (0.602183324335333 *
    m.x1 + 0.115623371371275 * m.x2 + 1.4 * m.x3)) * m.x3 - 17.2981663216011 *
    log(m.x1) * m.x1 - 25.6043471859416 * log(m.x2) * m.x2 - 8.09678129464404
    * log(m.x3) * m.x3)

m.e1 = Constraint(expr= m.x1 + m.x2 + m.x3 == 1)