#  NLP written by GAMS Convert at 01/12/18 13:43:33
#  
#  Equation counts
#      Total        E        G        L        N        X        C        B
#         11        1        0       10        0        0        0        0
#  
#  Variable counts
#                   x        b        i      s1s      s2s       sc       si
#      Total     cont   binary  integer     sos1     sos2    scont     sint
#         11       11        0        0        0        0        0        0
#  FX      0        0        0        0        0        0        0        0
#  
#  Nonzero counts
#      Total    const       NL      DLL
#        108       98       10        0
# 
#  Reformulation has removed 1 variable and 1 equation


var x1 >= 0;
var x2 >= 0;
var x3 >= 0;
var x4 >= 0;
var x5 >= 0;
var x6 >= 0;
var x7 >= 0;
var x8 >= 0;
var x9 >= 0;
var x10 >= 0;

minimize obj: 10*x1 - 0.068*x1*x1 - 0.046*x1*x2 + 10*x2 - 0.079*x1*x3 + 10*x3
     - 0.051*x1*x4 + 10*x4 - 0.069*x1*x5 + 10*x5 - 0.068*x1*x6 + 10*x6 - 0.046*
    x1*x7 + 10*x7 - 0.079*x1*x8 + 10*x8 - 0.051*x1*x9 + 10*x9 - 0.069*x1*x10 + 
    10*x10 - 0.046*x2*x1 - 0.055*x2*x2 - 0.058*x2*x3 - 0.045*x2*x4 - 0.06*x2*x5
     - 0.046*x2*x6 - 0.055*x2*x7 - 0.058*x2*x8 - 0.045*x2*x9 - 0.06*x2*x10 - 
    0.079*x3*x1 - 0.058*x3*x2 - 0.133*x3*x3 - 0.067*x3*x4 - 0.089*x3*x5 - 0.079
    *x3*x6 - 0.058*x3*x7 - 0.133*x3*x8 - 0.067*x3*x9 - 0.089*x3*x10 - 0.051*x4*
    x1 - 0.045*x4*x2 - 0.067*x4*x3 - 0.069*x4*x4 - 0.058*x4*x5 - 0.051*x4*x6 - 
    0.045*x4*x7 - 0.067*x4*x8 - 0.069*x4*x9 - 0.058*x4*x10 - 0.069*x5*x1 - 0.06
    *x5*x2 - 0.089*x5*x3 - 0.058*x5*x4 - 0.119*x5*x5 - 0.069*x5*x6 - 0.06*x5*x7
     - 0.089*x5*x8 - 0.058*x5*x9 - 0.119*x5*x10 - 0.068*x6*x1 - 0.046*x6*x2 - 
    0.079*x6*x3 - 0.051*x6*x4 - 0.069*x6*x5 - 0.068*x6*x6 - 0.046*x6*x7 - 0.079
    *x6*x8 - 0.051*x6*x9 - 0.069*x6*x10 - 0.046*x7*x1 - 0.055*x7*x2 - 0.058*x7*
    x3 - 0.045*x7*x4 - 0.06*x7*x5 - 0.046*x7*x6 - 0.055*x7*x7 - 0.058*x7*x8 - 
    0.045*x7*x9 - 0.06*x7*x10 - 0.079*x8*x1 - 0.058*x8*x2 - 0.133*x8*x3 - 0.067
    *x8*x4 - 0.089*x8*x5 - 0.079*x8*x6 - 0.058*x8*x7 - 0.133*x8*x8 - 0.067*x8*
    x9 - 0.089*x8*x10 - 0.051*x9*x1 - 0.045*x9*x2 - 0.067*x9*x3 - 0.069*x9*x4
     - 0.058*x9*x5 - 0.051*x9*x6 - 0.045*x9*x7 - 0.067*x9*x8 - 0.069*x9*x9 - 
    0.058*x9*x10 - 0.069*x10*x1 - 0.06*x10*x2 - 0.089*x10*x3 - 0.058*x10*x4 - 
    0.119*x10*x5 - 0.069*x10*x6 - 0.06*x10*x7 - 0.089*x10*x8 - 0.058*x10*x9 - 
    0.119*x10*x10;

subject to

e1:    20*x1 + 20*x2 + 60*x3 + 60*x4 + 60*x5 + 60*x6 + 5*x7 + 45*x8 + 55*x9
     + 65*x10 <= 600.1;

e2:    5*x1 + 7*x2 + 3*x3 + 8*x4 + 13*x5 + 13*x6 + 2*x7 + 14*x8 + 14*x9
     + 14*x10 <= 310.5;

e3:    100*x1 + 130*x2 + 50*x3 + 70*x4 + 70*x5 + 70*x6 + 20*x7 + 80*x8 + 80*x9
     + 80*x10 <= 1800;

e4:    200*x1 + 280*x2 + 100*x3 + 200*x4 + 250*x5 + 280*x6 + 100*x7 + 180*x8
     + 200*x9 + 220*x10 <= 3850;

e5:    2*x1 + 2*x2 + 4*x3 + 4*x4 + 4*x5 + 4*x6 + 2*x7 + 6*x8 + 6*x9 + 6*x10
     <= 18.6;

e6:    4*x1 + 8*x2 + 2*x3 + 6*x4 + 10*x5 + 10*x6 + 5*x7 + 10*x8 + 10*x9
     + 10*x10 <= 198.7;

e7:    60*x1 + 110*x2 + 20*x3 + 40*x4 + 60*x5 + 70*x6 + 10*x7 + 40*x8 + 50*x9
     + 50*x10 <= 882;

e8:    150*x1 + 210*x2 + 40*x3 + 70*x4 + 90*x5 + 105*x6 + 60*x7 + 100*x8
     + 140*x9 + 180*x10 <= 4200;

e9:    80*x1 + 100*x2 + 6*x3 + 16*x4 + 20*x5 + 22*x6 + 20*x8 + 30*x9 + 30*x10
     <= 40.25;

e10:    40*x1 + 40*x2 + 12*x3 + 20*x4 + 24*x5 + 28*x6 + 40*x9 + 50*x10 <= 327;
