# NLP written by GAMS Convert at 02/17/22 17:19:06
#
# Equation counts
#     Total        E        G        L        N        X        C        B
#        10       10        0        0        0        0        0        0
#
# Variable counts
#                  x        b        i      s1s      s2s       sc       si
#     Total     cont   binary  integer     sos1     sos2    scont     sint
#        24       24        0        0        0        0        0        0
# FX      0
#
# Nonzero counts
#     Total    const       NL
#        48       48        0
#
# Reformulation has removed 1 variable and 1 equation

from pyomo.environ import *

model = m = ConcreteModel()

m.x1 = Var(within=Reals, bounds=(0,100), initialize=6)
m.x2 = Var(within=Reals, bounds=(0,100), initialize=2)
m.x3 = Var(within=Reals, bounds=(0,100), initialize=0)
m.x4 = Var(within=Reals, bounds=(0,100), initialize=0)
m.x5 = Var(within=Reals, bounds=(0,100), initialize=0)
m.x6 = Var(within=Reals, bounds=(0,100), initialize=3)
m.x7 = Var(within=Reals, bounds=(0,100), initialize=0)
m.x8 = Var(within=Reals, bounds=(0,100), initialize=21)
m.x9 = Var(within=Reals, bounds=(0,100), initialize=20)
m.x10 = Var(within=Reals, bounds=(0,100), initialize=0)
m.x11 = Var(within=Reals, bounds=(0,100), initialize=0)
m.x12 = Var(within=Reals, bounds=(0,100), initialize=0)
m.x13 = Var(within=Reals, bounds=(0,100), initialize=24)
m.x14 = Var(within=Reals, bounds=(0,100), initialize=0)
m.x15 = Var(within=Reals, bounds=(0,100), initialize=0)
m.x16 = Var(within=Reals, bounds=(0,100), initialize=0)
m.x17 = Var(within=Reals, bounds=(0,100), initialize=3)
m.x18 = Var(within=Reals, bounds=(0,100), initialize=0)
m.x19 = Var(within=Reals, bounds=(0,100), initialize=13)
m.x20 = Var(within=Reals, bounds=(0,100), initialize=0)
m.x21 = Var(within=Reals, bounds=(0,100), initialize=0)
m.x22 = Var(within=Reals, bounds=(0,100), initialize=12)
m.x23 = Var(within=Reals, bounds=(0,100), initialize=0)
m.x24 = Var(within=Reals, bounds=(0,100), initialize=0)

m.obj = Objective(sense=minimize, expr= -7 * m.x1 * m.x1 + 300 * m.x1 - 4 *
    m.x2 * m.x2 + 270 * m.x2 - 6 * m.x3 * m.x3 + 460 * m.x3 - 8 * m.x4 * m.x4
    + 800 * m.x4 - 12 * m.x5 * m.x5 + 740 * m.x5 - 9 * m.x6 * m.x6 + 600 *
    m.x6 - 14 * m.x7 * m.x7 + 540 * m.x7 - 7 * m.x8 * m.x8 + 380 * m.x8 - 13 *
    m.x9 * m.x9 + 300 * m.x9 - 12 * m.x10 * m.x10 + 490 * m.x10 - 8 * m.x11 *
    m.x11 + 380 * m.x11 - 4 * m.x12 * m.x12 + 760 * m.x12 - 7 * m.x13 * m.x13
    + 430 * m.x13 - 9 * m.x14 * m.x14 + 250 * m.x14 - 16 * m.x15 * m.x15 + 390
    * m.x15 - 8 * m.x16 * m.x16 + 600 * m.x16 - 4 * m.x17 * m.x17 + 210 *
    m.x17 - 10 * m.x18 * m.x18 + 830 * m.x18 - 21 * m.x19 * m.x19 + 470 * m.x19
    - 13 * m.x20 * m.x20 + 680 * m.x20 - 17 * m.x21 * m.x21 + 360 * m.x21 - 9
    * m.x22 * m.x22 + 290 * m.x22 - 8 * m.x23 * m.x23 + 400 * m.x23 - 4 * m.x24
    * m.x24 + 310 * m.x24)

m.e1 = Constraint(expr= m.x1 + m.x2 + m.x3 + m.x4 == 8)
m.e2 = Constraint(expr= m.x5 + m.x6 + m.x7 + m.x8 == 24)
m.e3 = Constraint(expr= m.x9 + m.x10 + m.x11 + m.x12 == 20)
m.e4 = Constraint(expr= m.x13 + m.x14 + m.x15 + m.x16 == 24)
m.e5 = Constraint(expr= m.x17 + m.x18 + m.x19 + m.x20 == 16)
m.e6 = Constraint(expr= m.x21 + m.x22 + m.x23 + m.x24 == 12)
m.e7 = Constraint(expr= m.x1 + m.x5 + m.x9 + m.x13 + m.x17 + m.x21 == 29)
m.e8 = Constraint(expr= m.x2 + m.x6 + m.x10 + m.x14 + m.x18 + m.x22 == 41)
m.e9 = Constraint(expr= m.x3 + m.x7 + m.x11 + m.x15 + m.x19 + m.x23 == 13)
m.e10 = Constraint(expr= m.x4 + m.x8 + m.x12 + m.x16 + m.x20 + m.x24 == 21)