# MINLP written by GAMS Convert at 02/17/22 17:18:40
#
# Equation counts
#     Total        E        G        L        N        X        C        B
#         0        0        0        0        0        0        0        0
#
# Variable counts
#                  x        b        i      s1s      s2s       sc       si
#     Total     cont   binary  integer     sos1     sos2    scont     sint
#        30       15        0       15        0        0        0        0
# FX      0
#
# Nonzero counts
#     Total    const       NL
#         0        0        0
#
# Reformulation has removed 1 variable and 1 equation

from pyomo.environ import *

model = m = ConcreteModel()

m.i1 = Var(within=Integers, bounds=(1,10), initialize=1)
m.i2 = Var(within=Integers, bounds=(1,10), initialize=1)
m.i3 = Var(within=Integers, bounds=(1,10), initialize=1)
m.i4 = Var(within=Integers, bounds=(1,10), initialize=1)
m.i5 = Var(within=Integers, bounds=(1,10), initialize=1)
m.i6 = Var(within=Integers, bounds=(1,10), initialize=1)
m.i7 = Var(within=Integers, bounds=(1,10), initialize=1)
m.i8 = Var(within=Integers, bounds=(1,10), initialize=1)
m.i9 = Var(within=Integers, bounds=(1,10), initialize=1)
m.i10 = Var(within=Integers, bounds=(1,10), initialize=1)
m.i11 = Var(within=Integers, bounds=(1,10), initialize=1)
m.i12 = Var(within=Integers, bounds=(1,10), initialize=1)
m.i13 = Var(within=Integers, bounds=(1,10), initialize=1)
m.i14 = Var(within=Integers, bounds=(1,10), initialize=1)
m.i15 = Var(within=Integers, bounds=(1,10), initialize=1)
m.x16 = Var(within=Reals, bounds=(1,10), initialize=1)
m.x17 = Var(within=Reals, bounds=(1,10), initialize=1)
m.x18 = Var(within=Reals, bounds=(1,10), initialize=1)
m.x19 = Var(within=Reals, bounds=(1,10), initialize=1)
m.x20 = Var(within=Reals, bounds=(1,10), initialize=1)
m.x21 = Var(within=Reals, bounds=(1,10), initialize=1)
m.x22 = Var(within=Reals, bounds=(1,10), initialize=1)
m.x23 = Var(within=Reals, bounds=(1,10), initialize=1)
m.x24 = Var(within=Reals, bounds=(1,10), initialize=1)
m.x25 = Var(within=Reals, bounds=(1,10), initialize=1)
m.x26 = Var(within=Reals, bounds=(1,10), initialize=1)
m.x27 = Var(within=Reals, bounds=(1,10), initialize=1)
m.x28 = Var(within=Reals, bounds=(1,10), initialize=1)
m.x29 = Var(within=Reals, bounds=(1,10), initialize=1)
m.x30 = Var(within=Reals, bounds=(1,10), initialize=1)

m.obj = Objective(sense=minimize, expr= 3e+04 * m.i1**(-0.48) * m.i2**(-0.275)
    * m.i3**(-0.26) * m.i4**(-0.215) * m.i5**(-0.245) * m.i6**(-0.31) * m.i7**
    (-0.34) * m.i8**(-0.2) * m.i9**(-0.185) * m.i10**(-0.495) * m.i11**(-0.02)
    * m.i12**(-0.445) * m.i13**(-0.455) * m.i14**(-0.4) * m.i15**(-0.05) *
    m.x16**(-0.13) * m.x17**(-0.17) * m.x18**(-0.34) * m.x19**(-0.07) * m.x20**
    (-0.36) * m.x21**(-0.05) * m.x22**(-0.325) * m.x23**(-0.245) * m.x24**(
    -0.39) * m.x25**(-0.36) * m.x26**(-0.45) * m.x27**(-0.445) * m.x28**(-0.165)
    * m.x29**(-0.35) * m.x30**(-0.1) + m.i1 + m.i2 + m.i3 + m.i4 + m.i5 + m.i6
    + m.i7 + m.i8 + m.i9 + m.i10 + m.i11 + m.i12 + m.i13 + m.i14 + m.i15 +
    m.x16 + m.x17 + m.x18 + m.x19 + m.x20 + m.x21 + m.x22 + m.x23 + m.x24 +
    m.x25 + m.x26 + m.x27 + m.x28 + m.x29 + m.x30)

