# MINLP written by GAMS Convert at 02/17/22 17:20:04
#
# Equation counts
#     Total        E        G        L        N        X        C        B
#        32       12       18        2        0        0        0        0
#
# Variable counts
#                  x        b        i      s1s      s2s       sc       si
#     Total     cont   binary  integer     sos1     sos2    scont     sint
#        25       21        0        4        0        0        0        0
# FX      0
#
# Nonzero counts
#     Total    const       NL
#        86       86        0
#
# Reformulation has removed 1 variable and 1 equation

from pyomo.environ import *

model = m = ConcreteModel()

m.i1 = Var(within=Integers, bounds=(1,None), initialize=1)
m.i2 = Var(within=Integers, bounds=(1,None), initialize=1)
m.i3 = Var(within=Integers, bounds=(1,None), initialize=1)
m.i4 = Var(within=Integers, bounds=(1,None), initialize=1)
m.x5 = Var(within=Reals, bounds=(0.000252525252525253,None)
    , initialize=0.000252525252525253)
m.x6 = Var(within=Reals, bounds=(0.000508388408744281,None)
    , initialize=0.000508388408744281)
m.x7 = Var(within=Reals, bounds=(0.000635162601626016,None)
    , initialize=0.000635162601626016)
m.x8 = Var(within=Reals, bounds=(0.000636456211812627,None)
    , initialize=0.000636456211812627)
m.x9 = Var(within=Reals, bounds=(0.000861450107681263,None)
    , initialize=0.000861450107681263)
m.x10 = Var(within=Reals, bounds=(0.000438212094653812,None)
    , initialize=0.000438212094653812)
m.x11 = Var(within=Reals, bounds=(0.000433776749566223,None)
    , initialize=0.000433776749566223)
m.x12 = Var(within=Reals, bounds=(0.000289184499710815,None)
    , initialize=0.000289184499710815)
m.x13 = Var(within=Reals, bounds=(0.000224466891133558,None)
    , initialize=0.000224466891133558)
m.x14 = Var(within=Reals, bounds=(0.00033892560582952,None)
    , initialize=0.00033892560582952)
m.x15 = Var(within=Reals, bounds=(0.000224014336917563,None)
    , initialize=0.000224014336917563)
m.x16 = Var(within=Reals, bounds=(0.000337381916329285,None)
    , initialize=0.000337381916329285)
m.x17 = Var(within=Reals, bounds=(None,None), initialize=0)
m.x18 = Var(within=Reals, bounds=(None,None), initialize=0)
m.x19 = Var(within=Reals, bounds=(None,None), initialize=0)
m.x20 = Var(within=Reals, bounds=(None,None), initialize=0)
m.x21 = Var(within=Reals, bounds=(None,None), initialize=0)
m.x22 = Var(within=Reals, bounds=(None,None), initialize=0)
m.x23 = Var(within=Reals, bounds=(None,None), initialize=0)
m.x24 = Var(within=Reals, bounds=(None,None), initialize=0)
m.x25 = Var(within=Reals, bounds=(None,None), initialize=0)

m.obj = Objective(sense=minimize, expr= 7.5 / m.x5 + 5.625 / m.x6 + 11.25 /
    m.x7 + 7.5 / m.x8 + 8.57142857142857 / m.x9 + 7.14285714285714 / m.x10 +
    2.85714285714286 / m.x11 + 5.71428571428571 / m.x12 + 8.88888888888889 /
    m.x13 + 8.88888888888889 / m.x14 + 8.88888888888889 / m.x15 +
    4.44444444444444 / m.x16 + 5000 * m.i1 + 5500 * m.i2 + 4000 * m.i3 + 6000 *
    m.i4 + 6e+06 * m.x17 + 9e+06 * m.x18 + 6e+06 * m.x19 + 9e+06 * m.x20 +
    8e+06 * m.x21 + 8e+06 * m.x22 + 8e+06 * m.x23 + 1e+07 * m.x24 + 8e+06 *
    m.x25)

m.e1 = Constraint(expr= -0.000252525252525253 * m.i1 + m.x5 == 0)
m.e2 = Constraint(expr= -0.000508388408744281 * m.i2 + m.x6 == 0)
m.e3 = Constraint(expr= -0.000635162601626016 * m.i3 + m.x7 == 0)
m.e4 = Constraint(expr= -0.000636456211812627 * m.i4 + m.x8 == 0)
m.e5 = Constraint(expr= -0.000861450107681263 * m.i1 + m.x9 == 0)
m.e6 = Constraint(expr= -0.000438212094653812 * m.i2 + m.x10 == 0)
m.e7 = Constraint(expr= -0.000433776749566223 * m.i3 + m.x11 == 0)
m.e8 = Constraint(expr= -0.000289184499710815 * m.i4 + m.x12 == 0)
m.e9 = Constraint(expr= -0.000224466891133558 * m.i1 + m.x13 == 0)
m.e10 = Constraint(expr= -0.00033892560582952 * m.i2 + m.x14 == 0)
m.e11 = Constraint(expr= -0.000224014336917563 * m.i3 + m.x15 == 0)
m.e12 = Constraint(expr= -0.000337381916329285 * m.i4 + m.x16 == 0)
m.e13 = Constraint(expr= 5000 * m.i1 + 5500 * m.i2 + 4000 * m.i3 + 6000 * m.i4
    <= 6e+06)
m.e14 = Constraint(expr= 60 * m.i1 + 50 * m.i2 + 80 * m.i3 + 40 * m.i4 <= 3000)
m.e15 = Constraint(expr= -m.x5 + m.x6 + m.x17 >= 0)
m.e16 = Constraint(expr= -m.x6 + m.x7 + m.x18 >= 0)
m.e17 = Constraint(expr= -m.x7 + m.x8 + m.x19 >= 0)
m.e18 = Constraint(expr= -m.x9 + m.x10 + m.x20 >= 0)
m.e19 = Constraint(expr= -m.x10 + m.x11 + m.x21 >= 0)
m.e20 = Constraint(expr= -m.x11 + m.x12 + m.x22 >= 0)
m.e21 = Constraint(expr= -m.x13 + m.x14 + m.x23 >= 0)
m.e22 = Constraint(expr= -m.x14 + m.x15 + m.x24 >= 0)
m.e23 = Constraint(expr= -m.x15 + m.x16 + m.x25 >= 0)
m.e24 = Constraint(expr= m.x5 - m.x6 + m.x17 >= 0)
m.e25 = Constraint(expr= m.x6 - m.x7 + m.x18 >= 0)
m.e26 = Constraint(expr= m.x7 - m.x8 + m.x19 >= 0)
m.e27 = Constraint(expr= m.x9 - m.x10 + m.x20 >= 0)
m.e28 = Constraint(expr= m.x10 - m.x11 + m.x21 >= 0)
m.e29 = Constraint(expr= m.x11 - m.x12 + m.x22 >= 0)
m.e30 = Constraint(expr= m.x13 - m.x14 + m.x23 >= 0)
m.e31 = Constraint(expr= m.x14 - m.x15 + m.x24 >= 0)
m.e32 = Constraint(expr= m.x15 - m.x16 + m.x25 >= 0)
