# NLP written by GAMS Convert at 03/03/22 14:44:33
#
# Equation counts
#     Total        E        G        L        N        X        C        B
#         2        0        0        2        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
#         8        0        8
#
# Reformulation has removed 1 variable and 1 equation

from pyomo.environ import *

model = m = ConcreteModel()

m.x1 = Var(within=Reals, bounds=(100,4e+05), initialize=200)
m.x2 = Var(within=Reals, bounds=(100,3e+05), initialize=200)
m.x3 = Var(within=Reals, bounds=(100,2e+05), initialize=200)
m.x4 = Var(within=Reals, bounds=(100,1e+05), initialize=200)

m.obj = Objective(sense=minimize, expr= m.x1 + m.x2 + m.x3 + m.x4)

m.e1 = Constraint(expr= 4 / m.x1 + 2.25 / m.x2 + 1 / m.x3 + 0.25 / m.x4
    <= 0.0401)
m.e2 = Constraint(expr= 0.16 / m.x1 + 0.36 / m.x2 + 0.64 / m.x3 + 0.64 / m.x4
    <= 0.010085)