# MINLP written by GAMS Convert at 02/17/22 17:20:41
#
# Equation counts
#     Total        E        G        L        N        X        C        B
#         3        3        0        0        0        0        0        0
#
# Variable counts
#                  x        b        i      s1s      s2s       sc       si
#     Total     cont   binary  integer     sos1     sos2    scont     sint
#         8        3        0        5        0        0        0        0
# FX      0
#
# Nonzero counts
#     Total    const       NL
#        16        3       13
#
# Reformulation has removed 1 variable and 1 equation

from pyomo.environ import *

model = m = ConcreteModel()

m.i1 = Var(within=Integers, bounds=(0,200), initialize=100)
m.i2 = Var(within=Integers, bounds=(0,200), initialize=100)
m.i3 = Var(within=Integers, bounds=(0,200), initialize=100)
m.i4 = Var(within=Integers, bounds=(0,200), initialize=100)
m.i5 = Var(within=Integers, bounds=(0,200), initialize=100)
m.x6 = Var(within=Reals, bounds=(0,92), initialize=0)
m.x7 = Var(within=Reals, bounds=(90,110), initialize=90)
m.x8 = Var(within=Reals, bounds=(20,25), initialize=20)

m.obj = Objective(sense=minimize, expr= 9.99999999999999e-05 * (5.3578547 *
    m.i3**2 + 0.8356891 * m.i1 * m.i5 + 37.293239 * m.i1) + 5.9207859)

m.e1 = Constraint(expr= -0.0056858 * m.i2 * m.i5 - 0.0006262 * m.i1 * m.i4 +
    0.0022053 * m.i3 * m.i5 + m.x6 == 85.334407)
m.e2 = Constraint(expr= -0.0071317 * m.i2 * m.i5 - 0.0029955 * m.i1 * m.i2 -
    0.0021813 * m.i3**2 + m.x7 == 80.51249)
m.e3 = Constraint(expr= -0.0047026 * m.i3 * m.i5 - 0.0012547 * m.i1 * m.i3 -
    0.0019085 * m.i3 * m.i4 + m.x8 == 9.300961)