# NLP written by GAMS Convert at 02/17/22 17:22:53
#
# Equation counts
#     Total        E        G        L        N        X        C        B
#         4        3        1        0        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
#        22        9       13
#
# Reformulation has removed 1 variable and 1 equation

from pyomo.environ import *

model = m = ConcreteModel()

m.x1 = Var(within=Reals, bounds=(0,92), initialize=0)
m.x2 = Var(within=Reals, bounds=(90,110), initialize=90)
m.x3 = Var(within=Reals, bounds=(20,25), initialize=20)
m.x4 = Var(within=Reals, bounds=(0,None), initialize=0)
m.x5 = Var(within=Reals, bounds=(78,102), initialize=78.62)
m.x6 = Var(within=Reals, bounds=(33,45), initialize=33.44)
m.x7 = Var(within=Reals, bounds=(27,45), initialize=31.07)
m.x8 = Var(within=Reals, bounds=(27,45), initialize=44.18)
m.x9 = Var(within=Reals, bounds=(27,45), initialize=35.22)

m.obj = Objective(sense=minimize, expr= 5.3578547 * m.x7**2 + 0.8356891 * m.x5
    * m.x9 + 37.293239 * m.x5 + 5000 * m.x4 - 40792.141)

m.e1 = Constraint(expr= 5 * m.x4 - m.x5 + 7 * m.x7 - m.x9 >= 0)
m.e2 = Constraint(expr= -0.0056858 * m.x6 * m.x9 - 0.0006262 * m.x5 * m.x8 +
    0.0022053 * m.x7 * m.x9 + m.x1 + 2 * m.x4 == 85.334407)
m.e3 = Constraint(expr= -0.0071317 * m.x6 * m.x9 - 0.0029955 * m.x5 * m.x6 -
    0.0021813 * m.x7**2 + m.x2 == 80.51249)
m.e4 = Constraint(expr= -0.0047026 * m.x7 * m.x9 - 0.0012547 * m.x5 * m.x7 -
    0.0019085 * m.x7 * m.x8 + m.x3 + 4 * m.x4 == 9.300961)