# NLP written by GAMS Convert at 02/17/22 17:22:53
#
# Equation counts
#     Total        E        G        L        N        X        C        B
#         6        4        0        2        0        0        0        0
#
# Variable counts
#                  x        b        i      s1s      s2s       sc       si
#     Total     cont   binary  integer     sos1     sos2    scont     sint
#         9        9        0        0        0        0        0        0
# FX      0
#
# Nonzero counts
#     Total    const       NL
#        23       16        7
#
# Reformulation has removed 1 variable and 1 equation

from pyomo.environ import *

model = m = ConcreteModel()

m.x1 = Var(within=Reals, bounds=(0,300), initialize=0)
m.x2 = Var(within=Reals, bounds=(0,300), initialize=0)
m.x3 = Var(within=Reals, bounds=(0,100), initialize=0)
m.x4 = Var(within=Reals, bounds=(0,200), initialize=0)
m.x5 = Var(within=Reals, bounds=(0,100), initialize=0)
m.x6 = Var(within=Reals, bounds=(0,300), initialize=0)
m.x7 = Var(within=Reals, bounds=(0,100), initialize=0)
m.x8 = Var(within=Reals, bounds=(0,200), initialize=0)
m.x9 = Var(within=Reals, bounds=(0.01,0.03), initialize=0.01)

m.obj = Objective(sense=minimize, expr= 6 * m.x1 + 16 * m.x2 - 9 * m.x5 + 10 *
    m.x6 + 10 * m.x7 - 15 * m.x8)

m.e1 = Constraint(expr= m.x1 + m.x2 - m.x3 - m.x4 == 0)
m.e2 = Constraint(expr= -m.x9 * (m.x3 + m.x4) + 0.03 * m.x1 + 0.01 * m.x2 == 0)
m.e3 = Constraint(expr= m.x3 - m.x5 + m.x6 == 0)
m.e4 = Constraint(expr= m.x4 + m.x7 - m.x8 == 0)
m.e5 = Constraint(expr= m.x9 * m.x3 - 0.025 * m.x5 + 0.02 * m.x6 <= 0)
m.e6 = Constraint(expr= m.x9 * m.x4 + 0.02 * m.x7 - 0.015 * m.x8 <= 0)