# NLP written by GAMS Convert at 02/17/22 17:22:41
#
# Equation counts
#     Total        E        G        L        N        X        C        B
#        17        4       13        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
#        48       25       23
#
# Reformulation has removed 1 variable and 1 equation

from pyomo.environ import *

model = m = ConcreteModel()

m.x1 = Var(within=Reals, bounds=(None,None), initialize=934.032)
m.x2 = Var(within=Reals, bounds=(None,None), initialize=934.032)
m.x3 = Var(within=Reals, bounds=(None,None), initialize=1011.868)
m.x4 = Var(within=Reals, bounds=(1.05,None), initialize=1.2)
m.x5 = Var(within=Reals, bounds=(1.05,None), initialize=1.2)
m.x6 = Var(within=Reals, bounds=(1.05,None), initialize=1.3)
m.x7 = Var(within=Reals, bounds=(None,None), initialize=45.8)
m.x8 = Var(within=Reals, bounds=(None,None), initialize=43.2)
m.x9 = Var(within=Reals, bounds=(None,None), initialize=30.5)
m.x10 = Var(within=Reals, bounds=(1,None), initialize=76.3939536510076)

m.obj = Objective(sense=minimize, expr= (0.0039 * m.x7 + 0.0039 * m.x8) * (495
    * m.x4 + 385 * m.x5 + 315 * m.x6) / m.x10)

m.e1 = Constraint(expr= -0.5 * m.x9 * m.x4 * (0.8 * m.x7 + 0.333333333333333 *
    m.x8) + m.x1 == 0)
m.e2 = Constraint(expr= -0.5 * m.x9 * m.x5 * (0.8 * m.x7 + 0.333333333333333 *
    m.x8) + m.x2 == 0)
m.e3 = Constraint(expr= -0.5 * m.x9 * m.x6 * (0.8 * m.x7 + 0.333333333333333 *
    m.x8) + m.x3 == 0)
m.e4 = Constraint(expr= -sqrt(m.x8 * m.x8 - m.x9 * m.x9) - m.x7 + m.x10 == 0)
m.e5 = Constraint(expr= m.x1 - 8.4652734375 * m.x10 >= 0)
m.e6 = Constraint(expr= m.x2 - 9.65006510416667 * m.x10 >= 0)
m.e7 = Constraint(expr= m.x3 - 8.8716796875 * m.x10 >= 0)
m.e8 = Constraint(expr= 0.5 * m.x1 * m.x9 - 2.2 * (8.4652734375 * m.x10)**
    1.33333333333333 >= 0)
m.e9 = Constraint(expr= 0.5 * m.x2 * m.x9 - 2.2 * (9.65006510416667 * m.x10)**
    1.33333333333333 >= 0)
m.e10 = Constraint(expr= 0.5 * m.x3 * m.x9 - 2.2 * (8.8716796875 * m.x10)**
    1.33333333333333 >= 0)
m.e11 = Constraint(expr= m.x4 - 0.0111771747883801 * m.x7 >= 0.2)
m.e12 = Constraint(expr= m.x5 - 0.0137655360411427 * m.x7 >= 0.2)
m.e13 = Constraint(expr= m.x6 - 0.0155663872253648 * m.x7 >= 0.2)
m.e14 = Constraint(expr= m.x4 - 0.0111771747883801 * m.x8 >= 0.2)
m.e15 = Constraint(expr= m.x5 - 0.0137655360411427 * m.x8 >= 0.2)
m.e16 = Constraint(expr= m.x6 - 0.0155663872253648 * m.x8 >= 0.2)
m.e17 = Constraint(expr= m.x8 - m.x9 >= 0)