#  NLP written by GAMS Convert at 01/12/18 13:29:58
#  
#  Equation counts
#      Total        E        G        L        N        X        C        B
#         78       68       10        0        0        0        0        0
#  
#  Variable counts
#                   x        b        i      s1s      s2s       sc       si
#      Total     cont   binary  integer     sos1     sos2    scont     sint
#         87       87        0        0        0        0        0        0
#  FX      0        0        0        0        0        0        0        0
#  
#  Nonzero counts
#      Total    const       NL      DLL
#        616      176      440        0
# 
#  Reformulation has removed 1 variable and 1 equation


var x1 >= 0;
var x2 := 1, >= 0, <= 10000;
var x3 := 1, >= 0, <= 10000;
var x4 := 1, >= 0, <= 10000;
var x5 := 1, >= 0, <= 10000;
var x6 := 1, >= 0, <= 10000;
var x7 := 1, >= 0, <= 10000;
var x8 := 1, >= 0, <= 10000;
var x9 := 1, >= 0, <= 10000;
var x10 := 1, >= 0, <= 10000;
var x11 := 1, >= 0, <= 10000;
var x12 := 0.01, >= 0, <= 1;
var x13 := 0.01, >= 0, <= 1;
var x14 := 0.01, >= 0, <= 1;
var x15 := 0.01, >= 0, <= 1;
var x16 := 0.01, >= 0, <= 1;
var x17 := 0.01, >= 0, <= 1;
var x18 := 0.01, >= 0, <= 1;
var x19 := 0.01, >= 0, <= 1;
var x20 := 0.01, >= 0, <= 1;
var x21 := 0.01, >= 0, <= 1;
var x22 := 0.01, >= 0, <= 1;
var x23 := 0.01, >= 0, <= 1;
var x24 := 0.01, >= 0, <= 1;
var x25 := 0.01, >= 0, <= 1;
var x26 := 0.01, >= 0, <= 1;
var x27 := 0.01, >= 0, <= 1;
var x28 := 0.01, >= 0, <= 1;
var x29 := 0.01, >= 0, <= 1;
var x30 := 0.01, >= 0, <= 1;
var x31 := 0.01, >= 0, <= 1;
var x32 := 0.01, >= 0, <= 1;
var x33 := 0.01, >= 0, <= 1;
var x34 := 0.01, >= 0, <= 1;
var x35 := 0.01, >= 0, <= 1;
var x36 := 0.01, >= 0, <= 1;
var x37 := 0.01, >= 0, <= 1;
var x38 := 0.01, >= 0, <= 1;
var x39 := 0.01, >= 0, <= 1;
var x40 := 0.01, >= 0, <= 1;
var x41 := 0.01, >= 0, <= 1;
var x42 := 0.01, >= 0, <= 1;
var x43 := 0.01, >= 0, <= 1;
var x44 := 0.01, >= 0, <= 1;
var x45 := 0.01, >= 0, <= 1;
var x46 := 0.01, >= 0, <= 1;
var x47 := 0.01, >= 0, <= 1;
var x48 := 0.01, >= 0, <= 1;
var x49 := 0.01, >= 0, <= 1;
var x50 := 0.01, >= 0, <= 1;
var x51 := 0.01, >= 0, <= 1;
var x52 := 0.01, >= 0, <= 1;
var x53 := 0.01, >= 0, <= 1;
var x54 := 0.01, >= 0, <= 1;
var x55 := 0.01, >= 0, <= 1;
var x56 := 0.01, >= 0, <= 1;
var x57 := 0.01, >= 0, <= 1;
var x58 := 0.01, >= 0, <= 1;
var x59 := 0.01, >= 0, <= 1;
var x60 := 0.01, >= 0, <= 1;
var x61 := 0.01, >= 0, <= 1;
var x62 := 0.01, >= 0, <= 1;
var x63 := 0.01, >= 0, <= 1;
var x64 := 0.01, >= 0, <= 1;
var x65 := 0.01, >= 0, <= 1;
var x66 := 0.01, >= 0, <= 1;
var x67 >= 0, <= 1000;
var x68 >= 0, <= 1000;
var x69 >= 0, <= 1000;
var x70 >= 0, <= 1000;
var x71 >= 0, <= 1000;
var x72 >= 0, <= 1000;
var x73 >= 0, <= 1000;
var x74 >= 0, <= 1000;
var x75 >= 0, <= 1000;
var x76 >= 0, <= 1000;
var x77 >= 0, <= 1000;
var x78 >= 0, <= 1000;
var x79 >= 0, <= 1000;
var x80 >= 0, <= 1000;
var x81 >= 0, <= 1000;
var x82 >= 0, <= 1000;
var x83 >= 0, <= 1000;
var x84 >= 0, <= 1000;
var x85 >= 0, <= 1000;
var x86 >= 0, <= 1000;

minimize obj:    x67 + x68 + x69 + x70 + x71 + x72 + x73 + x74 + x75 + x76
     + x77 + x78 + x79 + x80 + x81 + x82 + x83 + x84 + x85 + x86;

subject to

e1: 0.2*x2 - x12*(0.2*x2 + 0.32003200320032*x3 + 0.3840672124824*x4 + 
    0.409692183046145*x5 + 0.409702429449282*x6 + 0.393314332271309*x7 + 
    0.367084193942431*x8 + 0.335603041715*x9 + 0.302020066201112*x10 + 
    0.268435410656179*x11) = 0;

e2: 0.32003200320032*x3 - x13*(0.2*x2 + 0.32003200320032*x3 + 0.3840672124824*
    x4 + 0.409692183046145*x5 + 0.409702429449282*x6 + 0.393314332271309*x7 + 
    0.367084193942431*x8 + 0.335603041715*x9 + 0.302020066201112*x10 + 
    0.268435410656179*x11) = 0;

e3: 0.0399839983998399*x3 - x14*(0.0399839983998399*x3 + 0.0959807923180794*x4
     + 0.153596150395582*x5 + 0.204825598716796*x6 + 0.245821457669569*x7 + 
    0.275347581122294*x8 + 0.2937261297672*x9 + 0.302133422913057*x10 + 
    0.302140983052761*x11) = 0;

e4: 0.3840672124824*x4 - x15*(0.2*x2 + 0.32003200320032*x3 + 0.3840672124824*x4
     + 0.409692183046145*x5 + 0.409702429449282*x6 + 0.393314332271309*x7 + 
    0.367084193942431*x8 + 0.335603041715*x9 + 0.302020066201112*x10 + 
    0.268435410656179*x11) = 0;

e5: 0.0959807923180794*x4 - x16*(0.0399839983998399*x3 + 0.0959807923180794*x4
     + 0.153596150395582*x5 + 0.204825598716796*x6 + 0.245821457669569*x7 + 
    0.275347581122294*x8 + 0.2937261297672*x9 + 0.302133422913057*x10 + 
    0.302140983052761*x11) = 0;

e6: 0.00799040096048009*x4 - x17*(0.00799040096048009*x4 + 0.0255769561603844*
    x5 + 0.0511679852758392*x6 + 0.0818892538741687*x7 + 0.114670766025168*x8
     + 0.146807956791712*x9 + 0.176200402504464*x10 + 0.201402121569511*x11)
     = 0;

e7: 0.409692183046145*x5 - x18*(0.2*x2 + 0.32003200320032*x3 + 0.3840672124824*
    x4 + 0.409692183046145*x5 + 0.409702429449282*x6 + 0.393314332271309*x7 + 
    0.367084193942431*x8 + 0.335603041715*x9 + 0.302020066201112*x10 + 
    0.268435410656179*x11) = 0;

e8: 0.153596150395582*x5 - x19*(0.0399839983998399*x3 + 0.0959807923180794*x4
     + 0.153596150395582*x5 + 0.204825598716796*x6 + 0.245821457669569*x7 + 
    0.275347581122294*x8 + 0.2937261297672*x9 + 0.302133422913057*x10 + 
    0.302140983052761*x11) = 0;

e9: 0.0255769561603844*x5 - x20*(0.00799040096048009*x4 + 0.0255769561603844*x5
     + 0.0511679852758392*x6 + 0.0818892538741687*x7 + 0.114670766025168*x8 + 
    0.146807956791712*x9 + 0.176200402504464*x10 + 0.201402121569511*x11) = 0;

e10: 0.001596161920384*x5 - x21*(0.001596161920384*x5 + 0.00638720256256101*x6
      + 0.0153350375081317*x7 + 0.0286354282546281*x8 + 0.0458315860606947*x9
      + 0.0660172990246554*x10 + 0.0880472935145168*x11) = 0;

e11: 0.409702429449282*x6 - x22*(0.2*x2 + 0.32003200320032*x3 + 0.3840672124824
     *x4 + 0.409692183046145*x5 + 0.409702429449282*x6 + 0.393314332271309*x7
      + 0.367084193942431*x8 + 0.335603041715*x9 + 0.302020066201112*x10 + 
     0.268435410656179*x11) = 0;

e12: 0.204825598716796*x6 - x23*(0.0399839983998399*x3 + 0.0959807923180794*x4
      + 0.153596150395582*x5 + 0.204825598716796*x6 + 0.245821457669569*x7 + 
     0.275347581122294*x8 + 0.2937261297672*x9 + 0.302133422913057*x10 + 
     0.302140983052761*x11) = 0;

e13: 0.0511679852758392*x6 - x24*(0.00799040096048009*x4 + 0.0255769561603844*
     x5 + 0.0511679852758392*x6 + 0.0818892538741687*x7 + 0.114670766025168*x8
      + 0.146807956791712*x9 + 0.176200402504464*x10 + 0.201402121569511*x11)
      = 0;

e14: 0.00638720256256101*x6 - x25*(0.001596161920384*x5 + 0.00638720256256101*
     x6 + 0.0153350375081317*x7 + 0.0286354282546281*x8 + 0.0458315860606947*x9
      + 0.0660172990246554*x10 + 0.0880472935145168*x11) = 0;

e15: 0.000318721407871794*x6 - x26*(0.000318721407871794*x6 + 
     0.00153062807182051*x7 + 0.00428779555860749*x8 + 0.00915141635884911*x9
      + 0.0164795558845939*x10 + 0.0263778458318911*x11) = 0;

e16: 0.393314332271309*x7 - x27*(0.2*x2 + 0.32003200320032*x3 + 0.3840672124824
     *x4 + 0.409692183046145*x5 + 0.409702429449282*x6 + 0.393314332271309*x7
      + 0.367084193942431*x8 + 0.335603041715*x9 + 0.302020066201112*x10 + 
     0.268435410656179*x11) = 0;

e17: 0.245821457669569*x7 - x28*(0.0399839983998399*x3 + 0.0959807923180794*x4
      + 0.153596150395582*x5 + 0.204825598716796*x6 + 0.245821457669569*x7 + 
     0.275347581122294*x8 + 0.2937261297672*x9 + 0.302133422913057*x10 + 
     0.302140983052761*x11) = 0;

e18: 0.0818892538741687*x7 - x29*(0.00799040096048009*x4 + 0.0255769561603844*
     x5 + 0.0511679852758392*x6 + 0.0818892538741687*x7 + 0.114670766025168*x8
      + 0.146807956791712*x9 + 0.176200402504464*x10 + 0.201402121569511*x11)
      = 0;

e19: 0.0153350375081317*x7 - x30*(0.001596161920384*x5 + 0.00638720256256101*x6
      + 0.0153350375081317*x7 + 0.0286354282546281*x8 + 0.0458315860606947*x9
      + 0.0660172990246554*x10 + 0.0880472935145168*x11) = 0;

e20: 0.00153062807182051*x7 - x31*(0.000318721407871794*x6 + 
     0.00153062807182051*x7 + 0.00428779555860749*x8 + 0.00915141635884911*x9
      + 0.0164795558845939*x10 + 0.0263778458318911*x11) = 0;

e21: 6.36167292350403e-5*x7 - x32*(6.36167292350403e-5*x7 + 0.00035646756425478
     *x8 + 0.00114135256538535*x9 + 0.00274075394854443*x10 + 
     0.00548438828108048*x11) = 0;

e22: 0.367084193942431*x8 - x33*(0.2*x2 + 0.32003200320032*x3 + 0.3840672124824
     *x4 + 0.409692183046145*x5 + 0.409702429449282*x6 + 0.393314332271309*x7
      + 0.367084193942431*x8 + 0.335603041715*x9 + 0.302020066201112*x10 + 
     0.268435410656179*x11) = 0;

e23: 0.275347581122294*x8 - x34*(0.0399839983998399*x3 + 0.0959807923180794*x4
      + 0.153596150395582*x5 + 0.204825598716796*x6 + 0.245821457669569*x7 + 
     0.275347581122294*x8 + 0.2937261297672*x9 + 0.302133422913057*x10 + 
     0.302140983052761*x11) = 0;

e24: 0.114670766025168*x8 - x35*(0.00799040096048009*x4 + 0.0255769561603844*x5
      + 0.0511679852758392*x6 + 0.0818892538741687*x7 + 0.114670766025168*x8 + 
     0.146807956791712*x9 + 0.176200402504464*x10 + 0.201402121569511*x11) = 0;

e25: 0.0286354282546281*x8 - x36*(0.001596161920384*x5 + 0.00638720256256101*x6
      + 0.0153350375081317*x7 + 0.0286354282546281*x8 + 0.0458315860606947*x9
      + 0.0660172990246554*x10 + 0.0880472935145168*x11) = 0;

e26: 0.00428779555860749*x8 - x37*(0.000318721407871794*x6 + 
     0.00153062807182051*x7 + 0.00428779555860749*x8 + 0.00915141635884911*x9
      + 0.0164795558845939*x10 + 0.0263778458318911*x11) = 0;

e27: 0.00035646756425478*x8 - x38*(6.36167292350403e-5*x7 + 0.00035646756425478
     *x8 + 0.00114135256538535*x9 + 0.00274075394854443*x10 + 
     0.00548438828108048*x11) = 0;

e28: 1.26927914843577e-5*x8 - x39*(1.26927914843577e-5*x8 + 8.12907690382152e-5
     *x9 + 0.000292844463262116*x10 + 0.000781426623017516*x11) = 0;

e29: 0.335603041715*x9 - x40*(0.2*x2 + 0.32003200320032*x3 + 0.3840672124824*x4
      + 0.409692183046145*x5 + 0.409702429449282*x6 + 0.393314332271309*x7 + 
     0.367084193942431*x8 + 0.335603041715*x9 + 0.302020066201112*x10 + 
     0.268435410656179*x11) = 0;

e30: 0.2937261297672*x9 - x41*(0.0399839983998399*x3 + 0.0959807923180794*x4 + 
     0.153596150395582*x5 + 0.204825598716796*x6 + 0.245821457669569*x7 + 
     0.275347581122294*x8 + 0.2937261297672*x9 + 0.302133422913057*x10 + 
     0.302140983052761*x11) = 0;

e31: 0.146807956791712*x9 - x42*(0.00799040096048009*x4 + 0.0255769561603844*x5
      + 0.0511679852758392*x6 + 0.0818892538741687*x7 + 0.114670766025168*x8 + 
     0.146807956791712*x9 + 0.176200402504464*x10 + 0.201402121569511*x11) = 0;

e32: 0.0458315860606947*x9 - x43*(0.001596161920384*x5 + 0.00638720256256101*x6
      + 0.0153350375081317*x7 + 0.0286354282546281*x8 + 0.0458315860606947*x9
      + 0.0660172990246554*x10 + 0.0880472935145168*x11) = 0;

e33: 0.00915141635884911*x9 - x44*(0.000318721407871794*x6 + 
     0.00153062807182051*x7 + 0.00428779555860749*x8 + 0.00915141635884911*x9
      + 0.0164795558845939*x10 + 0.0263778458318911*x11) = 0;

e34: 0.00114135256538535*x9 - x45*(6.36167292350403e-5*x7 + 0.00035646756425478
     *x8 + 0.00114135256538535*x9 + 0.00274075394854443*x10 + 
     0.00548438828108048*x11) = 0;

e35: 8.12907690382152e-5*x9 - x46*(1.26927914843577e-5*x8 + 8.12907690382152e-5
     *x9 + 0.000292844463262116*x10 + 0.000781426623017516*x11) = 0;

e36: 2.53144535458066e-6*x9 - x47*(2.53144535458066e-6*x9 + 1.82409993524627e-5
     *x10 + 7.30205954460765e-5*x11) = 0;

e37: 0.302020066201112*x10 - x48*(0.2*x2 + 0.32003200320032*x3 + 
     0.3840672124824*x4 + 0.409692183046145*x5 + 0.409702429449282*x6 + 
     0.393314332271309*x7 + 0.367084193942431*x8 + 0.335603041715*x9 + 
     0.302020066201112*x10 + 0.268435410656179*x11) = 0;

e38: 0.302133422913057*x10 - x49*(0.0399839983998399*x3 + 0.0959807923180794*x4
      + 0.153596150395582*x5 + 0.204825598716796*x6 + 0.245821457669569*x7 + 
     0.275347581122294*x8 + 0.2937261297672*x9 + 0.302133422913057*x10 + 
     0.302140983052761*x11) = 0;

e39: 0.176200402504464*x10 - x50*(0.00799040096048009*x4 + 0.0255769561603844*
     x5 + 0.0511679852758392*x6 + 0.0818892538741687*x7 + 0.114670766025168*x8
      + 0.146807956791712*x9 + 0.176200402504464*x10 + 0.201402121569511*x11)
      = 0;

e40: 0.0660172990246554*x10 - x51*(0.001596161920384*x5 + 0.00638720256256101*
     x6 + 0.0153350375081317*x7 + 0.0286354282546281*x8 + 0.0458315860606947*x9
      + 0.0660172990246554*x10 + 0.0880472935145168*x11) = 0;

e41: 0.0164795558845939*x10 - x52*(0.000318721407871794*x6 + 
     0.00153062807182051*x7 + 0.00428779555860749*x8 + 0.00915141635884911*x9
      + 0.0164795558845939*x10 + 0.0263778458318911*x11) = 0;

e42: 0.00274075394854443*x10 - x53*(6.36167292350403e-5*x7 + 
     0.00035646756425478*x8 + 0.00114135256538535*x9 + 0.00274075394854443*x10
      + 0.00548438828108048*x11) = 0;

e43: 0.000292844463262116*x10 - x54*(1.26927914843577e-5*x8 + 
     8.12907690382152e-5*x9 + 0.000292844463262116*x10 + 0.000781426623017516*
     x11) = 0;

e44: 1.82409993524627e-5*x10 - x55*(2.53144535458066e-6*x9 + 
     1.82409993524627e-5*x10 + 7.30205954460765e-5*x11) = 0;

e45: 5.04667648751466e-7*x10 - x56*(5.04667648751466e-7*x10 + 
     4.04097807027501e-6*x11) = 0;

e46: 0.268435410656179*x11 - x57*(0.2*x2 + 0.32003200320032*x3 + 
     0.3840672124824*x4 + 0.409692183046145*x5 + 0.409702429449282*x6 + 
     0.393314332271309*x7 + 0.367084193942431*x8 + 0.335603041715*x9 + 
     0.302020066201112*x10 + 0.268435410656179*x11) = 0;

e47: 0.302140983052761*x11 - x58*(0.0399839983998399*x3 + 0.0959807923180794*x4
      + 0.153596150395582*x5 + 0.204825598716796*x6 + 0.245821457669569*x7 + 
     0.275347581122294*x8 + 0.2937261297672*x9 + 0.302133422913057*x10 + 
     0.302140983052761*x11) = 0;

e48: 0.201402121569511*x11 - x59*(0.00799040096048009*x4 + 0.0255769561603844*
     x5 + 0.0511679852758392*x6 + 0.0818892538741687*x7 + 0.114670766025168*x8
      + 0.146807956791712*x9 + 0.176200402504464*x10 + 0.201402121569511*x11)
      = 0;

e49: 0.0880472935145168*x11 - x60*(0.001596161920384*x5 + 0.00638720256256101*
     x6 + 0.0153350375081317*x7 + 0.0286354282546281*x8 + 0.0458315860606947*x9
      + 0.0660172990246554*x10 + 0.0880472935145168*x11) = 0;

e50: 0.0263778458318911*x11 - x61*(0.000318721407871794*x6 + 
     0.00153062807182051*x7 + 0.00428779555860749*x8 + 0.00915141635884911*x9
      + 0.0164795558845939*x10 + 0.0263778458318911*x11) = 0;

e51: 0.00548438828108048*x11 - x62*(6.36167292350403e-5*x7 + 
     0.00035646756425478*x8 + 0.00114135256538535*x9 + 0.00274075394854443*x10
      + 0.00548438828108048*x11) = 0;

e52: 0.000781426623017516*x11 - x63*(1.26927914843577e-5*x8 + 
     8.12907690382152e-5*x9 + 0.000292844463262116*x10 + 0.000781426623017516*
     x11) = 0;

e53: 7.30205954460765e-5*x11 - x64*(2.53144535458066e-6*x9 + 
     1.82409993524627e-5*x10 + 7.30205954460765e-5*x11) = 0;

e54: 4.04097807027501e-6*x11 - x65*(5.04667648751466e-7*x10 + 
     4.04097807027501e-6*x11) = 0;

e55: 1.0056984172397e-7*x11 - 1.0056984172397e-7*x66*x11 = 0;

e56:    0.200000000000001*x2 - 436*x12 - x67 + x77 = 0;

e57:    0.36001600160016*x3 - 436*x13 - 288*x14 - x68 + x78 = 0;

e58:    0.488038405760964*x4 - 436*x15 - 288*x16 - 185*x17 - x69 + x79 = 0;

e59:    0.590461451522498*x5 - 436*x18 - 288*x19 - 185*x20 - 75*x21 - x70 + x80
      = 0;

e60:    0.672401937412355*x6 - 436*x22 - 288*x23 - 185*x24 - 75*x25 - 19*x26
      - x71 + x81 = 0;

e61:    0.737954326124241*x7 - 436*x27 - 288*x28 - 185*x29 - 75*x30 - 19*x31
      - 4*x32 - x72 + x82 = 0;

e62:    0.790394925258872*x8 - 436*x33 - 288*x34 - 185*x35 - 75*x36 - 19*x37
      - 4*x38 - 2*x39 - x73 + x83 = 0;

e63:    0.832345305473249*x9 - 436*x40 - 288*x41 - 185*x42 - 75*x43 - 19*x44
      - 4*x45 - 2*x46 - x74 + x84 = 0;

e64:    0.865903090606706*x10 - 436*x48 - 288*x49 - 185*x50 - 75*x51 - 19*x52
      - 4*x53 - 2*x54 - x75 + x85 = 0;

e65:    0.892746631672324*x11 - 436*x57 - 288*x58 - 185*x59 - 75*x60 - 19*x61
      - 4*x62 - 2*x63 - x76 + x86 = 0;

e66:    x2 + 2*x3 + 3*x4 + 4*x5 + 5*x6 + 6*x7 + 7*x8 + 8*x9 + 9*x10 + 10*x11
      = 10000;

e67:    x2 + x3 + x4 + x5 + x6 + x7 + x8 + x9 + x10 + x11 >= 436;

e68:    x3 + x4 + x5 + x6 + x7 + x8 + x9 + x10 + x11 >= 288;

e69:    x4 + x5 + x6 + x7 + x8 + x9 + x10 + x11 >= 185;

e70:    x5 + x6 + x7 + x8 + x9 + x10 + x11 >= 75;

e71:    x6 + x7 + x8 + x9 + x10 + x11 >= 19;

e72:    x7 + x8 + x9 + x10 + x11 >= 4;

e73:    x8 + x9 + x10 + x11 >= 2;

e74:    x9 + x10 + x11 >= 0;

e75:    x10 + x11 >= 0;

e76:    x11 >= 0;

e77:  - x1 + x2 + x3 + x4 + x5 + x6 + x7 + x8 + x9 + x10 + x11 = 0;