# NLP written by GAMS Convert at 02/17/22 17:18:03
#
# Equation counts
#     Total        E        G        L        N        X        C        B
#        11        3        8        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
#
# Nonzero counts
#     Total    const       NL
#        31       19       12
#
# Reformulation has removed 1 variable and 1 equation

from pyomo.environ import *

model = m = ConcreteModel()

m.x1 = Var(within=Reals, bounds=(1e-06,2000), initialize=1745)
m.x2 = Var(within=Reals, bounds=(1e-06,16000), initialize=12000)
m.x3 = Var(within=Reals, bounds=(1e-06,120), initialize=110)
m.x4 = Var(within=Reals, bounds=(1e-06,5000), initialize=3048)
m.x5 = Var(within=Reals, bounds=(1e-06,2000), initialize=1974)
m.x6 = Var(within=Reals, bounds=(85,93), initialize=89.2)
m.x7 = Var(within=Reals, bounds=(90,95), initialize=92.8)
m.x8 = Var(within=Reals, bounds=(3,12), initialize=8)
m.x9 = Var(within=Reals, bounds=(0.01,4), initialize=3.6)
m.x10 = Var(within=Reals, bounds=(145,162), initialize=145)

m.obj = Objective(sense=maximize, expr= 0.063 * m.x4 * m.x7 - 5.04 * m.x1 -
    0.035 * m.x2 - 10 * m.x3 - 3.36 * m.x5)

m.e1 = Constraint(expr= m.x1 - 1.22 * m.x4 + m.x5 == 0)
m.e2 = Constraint(expr= -(98000 * m.x3) / (m.x4 * m.x9 + 1000 * m.x3) + m.x6
    == 0)
m.e3 = Constraint(expr= -(m.x2 + m.x5) / m.x1 + m.x8 == 0)
m.e4 = Constraint(expr= m.x1 * (-0.00667 * m.x8**2 + 0.13167 * m.x8 + 1.12) -
    0.99 * m.x4 >= 0)
m.e5 = Constraint(expr= -m.x1 * (-0.00667 * m.x8**2 + 0.13167 * m.x8 + 1.12) +
    1.01010101010101 * m.x4 >= 0)
m.e6 = Constraint(expr= -0.038 * m.x8**2 + 1.098 * m.x8 + 0.325 * m.x6 - 0.99 *
    m.x7 >= -57.425)
m.e7 = Constraint(expr= 0.038 * m.x8**2 - 1.098 * m.x8 - 0.325 * m.x6 +
    1.01010101010101 * m.x7 >= 57.425)
m.e8 = Constraint(expr= -0.9 * m.x9 - 0.222 * m.x10 >= -35.82)
m.e9 = Constraint(expr= 1.11111111111111 * m.x9 + 0.222 * m.x10 >= 35.82)
m.e10 = Constraint(expr= 3 * m.x7 - 0.99 * m.x10 >= 133)
m.e11 = Constraint(expr= -3 * m.x7 + 1.01010101010101 * m.x10 >= -133)