# 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=0.7154)
m.x2 = Var(within=Reals, bounds=(1e-06,1), initialize=0.00336)
m.x3 = Var(within=Reals, bounds=(1e-06,1), initialize=0.28124)

m.obj = Objective(sense=minimize, expr= log(2.4088 * m.x1 + 8.8495 * m.x2 +
    2.0086 * m.x3) * (10.4807341082197 * m.x1 + 38.5043409542885 * m.x2 +
    8.73945638067505 * m.x3) + 0.303602206615077 * m.x1 - 3.98949602721008 *
    m.x2 + 0.0423576909050935 * m.x3 + 0.240734108219679 * log(m.x1) * m.x1 +
    2.64434095428848 * log(m.x2) * m.x2 + 0.399456380675047 * log(m.x3) * m.x3
    - 0.240734108219679 * log(2.4088 * m.x1 + 8.8495 * m.x2 + 2.0086 * m.x3)
    * m.x1 - 2.64434095428848 * log(2.4088 * m.x1 + 8.8495 * m.x2 + 2.0086 *
    m.x3) * m.x2 - 0.399456380675047 * log(2.4088 * m.x1 + 8.8495 * m.x2 +
    2.0086 * m.x3) * m.x3 + 11.24 * log(m.x1) * m.x1 + 36.86 * log(m.x2) * m.x2
    + 9.34 * log(m.x3) * m.x3 - 11.24 * log(2.248 * m.x1 + 7.372 * m.x2 +
    1.868 * m.x3) * m.x1 - 36.86 * log(2.248 * m.x1 + 7.372 * m.x2 + 1.868 *
    m.x3) * m.x2 - 9.34 * log(2.248 * m.x1 + 7.372 * m.x2 + 1.868 * m.x3) *
    m.x3 + log(2.248 * m.x1 + 7.372 * m.x2 + 1.868 * m.x3) * (2.248 * m.x1 +
    7.372 * m.x2 + 1.868 * m.x3) + 2.248 * log(m.x1) * m.x1 + 7.372 * log(m.x2)
    * m.x2 + 1.868 * log(m.x3) * m.x3 - 2.248 * log(2.248 * m.x1 +
    5.82088173817021 * m.x2 + 0.382446861901943 * m.x3) * m.x1 - 7.372 * log(
    0.972461133672523 * m.x1 + 7.372 * m.x2 + 1.1893141713454 * m.x3) * m.x2 -
    1.868 * log(1.86752460515164 * m.x1 + 2.61699842799583 * m.x2 + 1.868 *
    m.x3) * m.x3 - 12.7287341082197 * log(m.x1) * m.x1 - 45.8763409542885 * log
    (m.x2) * m.x2 - 10.607456380675 * log(m.x3) * m.x3)

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