# NLP written by GAMS Convert at 02/17/22 17:19:05
#
# Equation counts
#     Total        E        G        L        N        X        C        B
#         5        1        0        4        0        0        0        0
#
# Variable counts
#                  x        b        i      s1s      s2s       sc       si
#     Total     cont   binary  integer     sos1     sos2    scont     sint
#         4        4        0        0        0        0        0        0
# FX      0
#
# Nonzero counts
#     Total    const       NL
#        18        6       12
#
# 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=0.937)
m.x2 = Var(within=Reals, bounds=(1e-06,1), initialize=1e-06)
m.x3 = Var(within=Reals, bounds=(60,100), initialize=80.166)
m.x4 = Var(within=Reals, bounds=(0,None), initialize=0)

m.obj = Objective(sense=minimize, expr= m.x4)

m.e1 = Constraint(expr= 0.361872516756437 * m.x2 / (m.x1 + 0.888649896608059 *
    m.x2) + (0.868134622480909 * m.x2) / (0.696880695582072 * m.x1 + m.x2) + (-
    0.361872516756437 * m.x1 * m.x2 / (m.x1 + 0.888649896608059 * m.x2)**2) -
    0.604986259573375 * m.x2 * m.x1 / (0.696880695582072 * m.x1 + m.x2)**2 -
    2755.64173589155 / (219.161 + m.x3) - m.x4 <= -9.20816767045657)
m.e2 = Constraint(expr= 0.868134622480909 * m.x1 / (0.696880695582072 * m.x1 +
    m.x2) + (0.361872516756437 * m.x1) / (m.x1 + 0.888649896608059 * m.x2) + (-
    0.321577974600906 * m.x1 * m.x2 / (m.x1 + 0.888649896608059 * m.x2)**2) -
    0.868134622480909 * m.x2 * m.x1 / (0.696880695582072 * m.x1 + m.x2)**2 -
    4117.06819797521 / (227.438 + m.x3) - m.x4 <= -12.6599269316621)
m.e3 = Constraint(expr= -(0.361872516756437 * m.x2) / (m.x1 + 0.888649896608059
    * m.x2) - (0.868134622480909 * m.x2) / (0.696880695582072 * m.x1 + m.x2)
    + 0.361872516756437 * m.x1 * m.x2 / (m.x1 + 0.888649896608059 * m.x2)**2
    + 0.604986259573375 * m.x2 * m.x1 / (0.696880695582072 * m.x1 + m.x2)**2
    + 2755.64173589155 / (219.161 + m.x3) - m.x4 <= 9.20816767045657)
m.e4 = Constraint(expr= -(0.868134622480909 * m.x1) / (0.696880695582072 * m.x1
    + m.x2) - (0.361872516756437 * m.x1) / (m.x1 + 0.888649896608059 * m.x2)
    + 0.321577974600906 * m.x1 * m.x2 / (m.x1 + 0.888649896608059 * m.x2)**2
    + 0.868134622480909 * m.x2 * m.x1 / (0.696880695582072 * m.x1 + m.x2)**2
    + 4117.06819797521 / (227.438 + m.x3) - m.x4 <= 12.6599269316621)
m.e5 = Constraint(expr= m.x1 + m.x2 == 1)