# NLP written by GAMS Convert at 02/17/22 17:22:56
#
# Equation counts
#     Total        E        G        L        N        X        C        B
#         5        0        0        5        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
#        41       41        0
#
# Reformulation has removed 1 variable and 1 equation

from pyomo.environ import *

model = m = ConcreteModel()

m.x1 = Var(within=Reals, bounds=(0,None), initialize=0)
m.x2 = Var(within=Reals, bounds=(0,None), initialize=0)
m.x3 = Var(within=Reals, bounds=(0,None), initialize=0)
m.x4 = Var(within=Reals, bounds=(0,None), initialize=0)
m.x5 = Var(within=Reals, bounds=(0,None), initialize=0)
m.x6 = Var(within=Reals, bounds=(0,None), initialize=0)
m.x7 = Var(within=Reals, bounds=(0,None), initialize=0)
m.x8 = Var(within=Reals, bounds=(0,None), initialize=0)
m.x9 = Var(within=Reals, bounds=(0,None), initialize=0)
m.x10 = Var(within=Reals, bounds=(0,None), initialize=0)

m.obj = Objective(sense=minimize, expr= -0.00055 * m.x1**2 - 0.0583 * m.x1 -
    0.0019 * m.x2**2 - 0.2318 * m.x2 - 0.0002 * m.x3**2 - 0.0108 * m.x3 -
    0.00095 * m.x4**2 - 0.1634 * m.x4 - 0.0046 * m.x5**2 - 0.138 * m.x5 -
    0.0035 * m.x6**2 - 0.357 * m.x6 - 0.00315 * m.x7**2 - 0.1953 * m.x7 -
    0.00475 * m.x8**2 - 0.361 * m.x8 - 0.0048 * m.x9**2 - 0.1824 * m.x9 - 0.003
    * m.x10**2 - 0.162 * m.x10)

m.e1 = Constraint(expr= 8 * m.x1 + 7 * m.x2 + 9 * m.x3 + 9 * m.x5 + 8 * m.x6 +
    2 * m.x7 + 4 * m.x9 + m.x10 <= 530)
m.e2 = Constraint(expr= 3 * m.x1 + 4 * m.x2 + 6 * m.x3 + 9 * m.x4 + 6 * m.x6 +
    9 * m.x7 + m.x8 + m.x10 <= 395)
m.e3 = Constraint(expr= 2 * m.x2 + m.x3 + 5 * m.x4 + 5 * m.x5 + 7 * m.x7 + 4 *
    m.x8 + 2 * m.x9 <= 350)
m.e4 = Constraint(expr= 5 * m.x1 + 7 * m.x3 + m.x4 + 7 * m.x5 + 5 * m.x6 + 7 *
    m.x8 + 9 * m.x9 + 5 * m.x10 <= 405)
m.e5 = Constraint(expr= m.x1 + m.x2 + m.x3 + m.x4 + m.x5 + m.x6 + m.x7 + m.x8
    + m.x9 + m.x10 <= 200)
