#  NLP written by GAMS Convert at 01/12/18 13:29:59
#  
#  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
#        622      182      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: 0.5*x2 - x12*(0.5*x2 + 0.5000500050005*x3 + 0.375037503750375*x4 + 
    0.249999992497001*x5 + 0.156218732806561*x6 + 0.0937031062453125*x7 + 
    0.0546382681253312*x8 + 0.0312062456311301*x9 + 0.017542972627178*x10 + 
    0.00973926749128362*x11) = 0;

e2: 0.5000500050005*x3 - x13*(0.5*x2 + 0.5000500050005*x3 + 0.375037503750375*
    x4 + 0.249999992497001*x5 + 0.156218732806561*x6 + 0.0937031062453125*x7 + 
    0.0546382681253312*x8 + 0.0312062456311301*x9 + 0.017542972627178*x10 + 
    0.00973926749128362*x11) = 0;

e3: 0.24997499749975*x3 - x14*(0.24997499749975*x3 + 0.375037503750375*x4 + 
    0.375075018755251*x5 + 0.312562515629377*x6 + 0.234398432806401*x7 + 
    0.164046067482601*x8 + 0.109331212792365*x9 + 0.0702562148313726*x10 + 
    0.0438881594251137*x11) = 0;

e4: 0.375037503750375*x4 - x15*(0.5*x2 + 0.5000500050005*x3 + 0.375037503750375
    *x4 + 0.249999992497001*x5 + 0.156218732806561*x6 + 0.0937031062453125*x7
     + 0.0546382681253312*x8 + 0.0312062456311301*x9 + 0.017542972627178*x10 + 
    0.00973926749128362*x11) = 0;

e5: 0.375037503750375*x4 - x16*(0.24997499749975*x3 + 0.375037503750375*x4 + 
    0.375075018755251*x5 + 0.312562515629377*x6 + 0.234398432806401*x7 + 
    0.164046067482601*x8 + 0.109331212792365*x9 + 0.0702562148313726*x10 + 
    0.0438881594251137*x11) = 0;

e6: 0.124962496249625*x4 - x17*(0.124962496249625*x4 + 0.249999992497001*x5 + 
    0.312562515629377*x6 + 0.312593787516885*x7 + 0.273519564077274*x8 + 
    0.218793754368866*x9 + 0.164062470437224*x10 + 0.117152290970943*x11) = 0;

e7: 0.249999992497001*x5 - x18*(0.5*x2 + 0.5000500050005*x3 + 0.375037503750375
    *x4 + 0.249999992497001*x5 + 0.156218732806561*x6 + 0.0937031062453125*x7
     + 0.0546382681253312*x8 + 0.0312062456311301*x9 + 0.017542972627178*x10 + 
    0.00973926749128362*x11) = 0;

e8: 0.375075018755251*x5 - x19*(0.24997499749975*x3 + 0.375037503750375*x4 + 
    0.375075018755251*x5 + 0.312562515629377*x6 + 0.234398432806401*x7 + 
    0.164046067482601*x8 + 0.109331212792365*x9 + 0.0702562148313726*x10 + 
    0.0438881594251137*x11) = 0;

e9: 0.249999992497001*x5 - x20*(0.124962496249625*x4 + 0.249999992497001*x5 + 
    0.312562515629377*x6 + 0.312593787516885*x7 + 0.273519564077274*x8 + 
    0.218793754368866*x9 + 0.164062470437224*x10 + 0.117152290970943*x11) = 0;

e10: 0.0624624981253751*x5 - x21*(0.0624624981253751*x5 + 0.156218732806561*x6
      + 0.234398432806401*x7 + 0.273519564077274*x8 + 0.273546935193458*x9 + 
     0.246192241674115*x10 + 0.205139666893903*x11) = 0;

e11: 0.156218732806561*x6 - x22*(0.5*x2 + 0.5000500050005*x3 + 
     0.375037503750375*x4 + 0.249999992497001*x5 + 0.156218732806561*x6 + 
     0.0937031062453125*x7 + 0.0546382681253312*x8 + 0.0312062456311301*x9 + 
     0.017542972627178*x10 + 0.00973926749128362*x11) = 0;

e12: 0.312562515629377*x6 - x23*(0.24997499749975*x3 + 0.375037503750375*x4 + 
     0.375075018755251*x5 + 0.312562515629377*x6 + 0.234398432806401*x7 + 
     0.164046067482601*x8 + 0.109331212792365*x9 + 0.0702562148313726*x10 + 
     0.0438881594251137*x11) = 0;

e13: 0.312562515629377*x6 - x24*(0.124962496249625*x4 + 0.249999992497001*x5 + 
     0.312562515629377*x6 + 0.312593787516885*x7 + 0.273519564077274*x8 + 
     0.218793754368866*x9 + 0.164062470437224*x10 + 0.117152290970943*x11) = 0;

e14: 0.156218732806561*x6 - x25*(0.0624624981253751*x5 + 0.156218732806561*x6
      + 0.234398432806401*x7 + 0.273519564077274*x8 + 0.273546935193458*x9 + 
     0.246192241674115*x10 + 0.205139666893903*x11) = 0;

e15: 0.0312187515640633*x6 - x26*(0.0312187515640633*x6 + 0.0937031062453125*x7
      + 0.164046067482601*x8 + 0.218793754368866*x9 + 0.246192241674115*x10 + 
     0.246216883075546*x11) = 0;

e16: 0.0937031062453125*x7 - x27*(0.5*x2 + 0.5000500050005*x3 + 
     0.375037503750375*x4 + 0.249999992497001*x5 + 0.156218732806561*x6 + 
     0.0937031062453125*x7 + 0.0546382681253312*x8 + 0.0312062456311301*x9 + 
     0.017542972627178*x10 + 0.00973926749128362*x11) = 0;

e17: 0.234398432806401*x7 - x28*(0.24997499749975*x3 + 0.375037503750375*x4 + 
     0.375075018755251*x5 + 0.312562515629377*x6 + 0.234398432806401*x7 + 
     0.164046067482601*x8 + 0.109331212792365*x9 + 0.0702562148313726*x10 + 
     0.0438881594251137*x11) = 0;

e18: 0.312593787516885*x7 - x29*(0.124962496249625*x4 + 0.249999992497001*x5 + 
     0.312562515629377*x6 + 0.312593787516885*x7 + 0.273519564077274*x8 + 
     0.218793754368866*x9 + 0.164062470437224*x10 + 0.117152290970943*x11) = 0;

e19: 0.234398432806401*x7 - x30*(0.0624624981253751*x5 + 0.156218732806561*x6
      + 0.234398432806401*x7 + 0.273519564077274*x8 + 0.273546935193458*x9 + 
     0.246192241674115*x10 + 0.205139666893903*x11) = 0;

e20: 0.0937031062453125*x7 - x31*(0.0312187515640633*x6 + 0.0937031062453125*x7
      + 0.164046067482601*x8 + 0.218793754368866*x9 + 0.246192241674115*x10 + 
     0.246216883075546*x11) = 0;

e21: 0.0156015671898445*x7 - x32*(0.0156015671898445*x7 + 0.0546382681253312*x8
      + 0.109331212792365*x9 + 0.164062470437224*x10 + 0.205139666893903*x11)
      = 0;

e22: 0.0546382681253312*x8 - x33*(0.5*x2 + 0.5000500050005*x3 + 
     0.375037503750375*x4 + 0.249999992497001*x5 + 0.156218732806561*x6 + 
     0.0937031062453125*x7 + 0.0546382681253312*x8 + 0.0312062456311301*x9 + 
     0.017542972627178*x10 + 0.00973926749128362*x11) = 0;

e23: 0.164046067482601*x8 - x34*(0.24997499749975*x3 + 0.375037503750375*x4 + 
     0.375075018755251*x5 + 0.312562515629377*x6 + 0.234398432806401*x7 + 
     0.164046067482601*x8 + 0.109331212792365*x9 + 0.0702562148313726*x10 + 
     0.0438881594251137*x11) = 0;

e24: 0.273519564077274*x8 - x35*(0.124962496249625*x4 + 0.249999992497001*x5 + 
     0.312562515629377*x6 + 0.312593787516885*x7 + 0.273519564077274*x8 + 
     0.218793754368866*x9 + 0.164062470437224*x10 + 0.117152290970943*x11) = 0;

e25: 0.273519564077274*x8 - x36*(0.0624624981253751*x5 + 0.156218732806561*x6
      + 0.234398432806401*x7 + 0.273519564077274*x8 + 0.273546935193458*x9 + 
     0.246192241674115*x10 + 0.205139666893903*x11) = 0;

e26: 0.164046067482601*x8 - x37*(0.0312187515640633*x6 + 0.0937031062453125*x7
      + 0.164046067482601*x8 + 0.218793754368866*x9 + 0.246192241674115*x10 + 
     0.246216883075546*x11) = 0;

e27: 0.0546382681253312*x8 - x38*(0.0156015671898445*x7 + 0.0546382681253312*x8
      + 0.109331212792365*x9 + 0.164062470437224*x10 + 0.205139666893903*x11)
      = 0;

e28: 0.00779610031479713*x8 - x39*(0.00779610031479713*x8 + 0.0312062456311301*
     x9 + 0.0702562148313726*x10 + 0.117152290970943*x11) = 0;

e29: 0.0312062456311301*x9 - x40*(0.5*x2 + 0.5000500050005*x3 + 
     0.375037503750375*x4 + 0.249999992497001*x5 + 0.156218732806561*x6 + 
     0.0937031062453125*x7 + 0.0546382681253312*x8 + 0.0312062456311301*x9 + 
     0.017542972627178*x10 + 0.00973926749128362*x11) = 0;

e30: 0.109331212792365*x9 - x41*(0.24997499749975*x3 + 0.375037503750375*x4 + 
     0.375075018755251*x5 + 0.312562515629377*x6 + 0.234398432806401*x7 + 
     0.164046067482601*x8 + 0.109331212792365*x9 + 0.0702562148313726*x10 + 
     0.0438881594251137*x11) = 0;

e31: 0.218793754368866*x9 - x42*(0.124962496249625*x4 + 0.249999992497001*x5 + 
     0.312562515629377*x6 + 0.312593787516885*x7 + 0.273519564077274*x8 + 
     0.218793754368866*x9 + 0.164062470437224*x10 + 0.117152290970943*x11) = 0;

e32: 0.273546935193458*x9 - x43*(0.0624624981253751*x5 + 0.156218732806561*x6
      + 0.234398432806401*x7 + 0.273519564077274*x8 + 0.273546935193458*x9 + 
     0.246192241674115*x10 + 0.205139666893903*x11) = 0;

e33: 0.218793754368866*x9 - x44*(0.0312187515640633*x6 + 0.0937031062453125*x7
      + 0.164046067482601*x8 + 0.218793754368866*x9 + 0.246192241674115*x10 + 
     0.246216883075546*x11) = 0;

e34: 0.109331212792365*x9 - x45*(0.0156015671898445*x7 + 0.0546382681253312*x8
      + 0.109331212792365*x9 + 0.164062470437224*x10 + 0.205139666893903*x11)
      = 0;

e35: 0.0312062456311301*x9 - x46*(0.00779610031479713*x8 + 0.0312062456311301*
     x9 + 0.0702562148313726*x10 + 0.117152290970943*x11) = 0;

e36: 0.00389531961090585*x9 - x47*(0.00389531961090585*x9 + 0.017542972627178*
     x10 + 0.0438881594251137*x11) = 0;

e37: 0.017542972627178*x10 - x48*(0.5*x2 + 0.5000500050005*x3 + 
     0.375037503750375*x4 + 0.249999992497001*x5 + 0.156218732806561*x6 + 
     0.0937031062453125*x7 + 0.0546382681253312*x8 + 0.0312062456311301*x9 + 
     0.017542972627178*x10 + 0.00973926749128362*x11) = 0;

e38: 0.0702562148313726*x10 - x49*(0.24997499749975*x3 + 0.375037503750375*x4
      + 0.375075018755251*x5 + 0.312562515629377*x6 + 0.234398432806401*x7 + 
     0.164046067482601*x8 + 0.109331212792365*x9 + 0.0702562148313726*x10 + 
     0.0438881594251137*x11) = 0;

e39: 0.164062470437224*x10 - x50*(0.124962496249625*x4 + 0.249999992497001*x5
      + 0.312562515629377*x6 + 0.312593787516885*x7 + 0.273519564077274*x8 + 
     0.218793754368866*x9 + 0.164062470437224*x10 + 0.117152290970943*x11) = 0;

e40: 0.246192241674115*x10 - x51*(0.0624624981253751*x5 + 0.156218732806561*x6
      + 0.234398432806401*x7 + 0.273519564077274*x8 + 0.273546935193458*x9 + 
     0.246192241674115*x10 + 0.205139666893903*x11) = 0;

e41: 0.246192241674115*x10 - x52*(0.0312187515640633*x6 + 0.0937031062453125*x7
      + 0.164046067482601*x8 + 0.218793754368866*x9 + 0.246192241674115*x10 + 
     0.246216883075546*x11) = 0;

e42: 0.164062470437224*x10 - x53*(0.0156015671898445*x7 + 0.0546382681253312*x8
      + 0.109331212792365*x9 + 0.164062470437224*x10 + 0.205139666893903*x11)
      = 0;

e43: 0.0702562148313726*x10 - x54*(0.00779610031479713*x8 + 0.0312062456311301*
     x9 + 0.0702562148313726*x10 + 0.117152290970943*x11) = 0;

e44: 0.017542972627178*x10 - x55*(0.00389531961090585*x9 + 0.017542972627178*
     x10 + 0.0438881594251137*x11) = 0;

e45: 0.00194610043010828*x10 - x56*(0.00194610043010828*x10 + 
     0.00973926749128362*x11) = 0;

e46: 0.00973926749128362*x11 - x57*(0.5*x2 + 0.5000500050005*x3 + 
     0.375037503750375*x4 + 0.249999992497001*x5 + 0.156218732806561*x6 + 
     0.0937031062453125*x7 + 0.0546382681253312*x8 + 0.0312062456311301*x9 + 
     0.017542972627178*x10 + 0.00973926749128362*x11) = 0;

e47: 0.0438881594251137*x11 - x58*(0.24997499749975*x3 + 0.375037503750375*x4
      + 0.375075018755251*x5 + 0.312562515629377*x6 + 0.234398432806401*x7 + 
     0.164046067482601*x8 + 0.109331212792365*x9 + 0.0702562148313726*x10 + 
     0.0438881594251137*x11) = 0;

e48: 0.117152290970943*x11 - x59*(0.124962496249625*x4 + 0.249999992497001*x5
      + 0.312562515629377*x6 + 0.312593787516885*x7 + 0.273519564077274*x8 + 
     0.218793754368866*x9 + 0.164062470437224*x10 + 0.117152290970943*x11) = 0;

e49: 0.205139666893903*x11 - x60*(0.0624624981253751*x5 + 0.156218732806561*x6
      + 0.234398432806401*x7 + 0.273519564077274*x8 + 0.273546935193458*x9 + 
     0.246192241674115*x10 + 0.205139666893903*x11) = 0;

e50: 0.246216883075546*x11 - x61*(0.0312187515640633*x6 + 0.0937031062453125*x7
      + 0.164046067482601*x8 + 0.218793754368866*x9 + 0.246192241674115*x10 + 
     0.246216883075546*x11) = 0;

e51: 0.205139666893903*x11 - x62*(0.0156015671898445*x7 + 0.0546382681253312*x8
      + 0.109331212792365*x9 + 0.164062470437224*x10 + 0.205139666893903*x11)
      = 0;

e52: 0.117152290970943*x11 - x63*(0.00779610031479713*x8 + 0.0312062456311301*
     x9 + 0.0702562148313726*x10 + 0.117152290970943*x11) = 0;

e53: 0.0438881594251137*x11 - x64*(0.00389531961090585*x9 + 0.017542972627178*
     x10 + 0.0438881594251137*x11) = 0;

e54: 0.00973926749128362*x11 - x65*(0.00194610043010828*x10 + 
     0.00973926749128362*x11) = 0;

e55: 0.000972173680979933*x11 - 0.000972173680979933*x66*x11 = 0;

e56:    0.5*x2 - 513*x12 - x67 + x77 = 0;

e57:    0.75002500250025*x3 - 513*x13 - 41*x14 - x68 + x78 = 0;

e58:    0.875037503750375*x4 - 513*x15 - 41*x16 - 100*x17 - x69 + x79 = 0;

e59:    0.937537501874625*x5 - 513*x18 - 41*x19 - 100*x20 - 182*x21 - x70 + x80
      = 0;

e60:    0.968781248435937*x6 - 513*x22 - 41*x23 - 100*x24 - 182*x25 - 248*x26
      - x71 + x81 = 0;

e61:    0.984398432810156*x7 - 513*x27 - 41*x28 - 100*x29 - 182*x30 - 248*x31
      - 167*x32 - x72 + x82 = 0;

e62:    0.992203899685203*x8 - 513*x33 - 41*x34 - 100*x35 - 182*x36 - 248*x37
      - 167*x38 - 89*x39 - x73 + x83 = 0;

e63:    0.996104680389094*x9 - 513*x40 - 41*x41 - 100*x42 - 182*x43 - 248*x44
      - 167*x45 - 89*x46 - 48*x47 - x74 + x84 = 0;

e64:    0.998053899569892*x10 - 513*x48 - 41*x49 - 100*x50 - 182*x51 - 248*x52
      - 167*x53 - 89*x54 - 48*x55 - 12*x56 - x75 + x85 = 0;

e65:    0.99902782631902*x11 - 513*x57 - 41*x58 - 100*x59 - 182*x60 - 248*x61
      - 167*x62 - 89*x63 - 48*x64 - 12*x65 - 2*x66 - 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 >= 513;

e68:    x3 + x4 + x5 + x6 + x7 + x8 + x9 + x10 + x11 >= 41;

e69:    x4 + x5 + x6 + x7 + x8 + x9 + x10 + x11 >= 100;

e70:    x5 + x6 + x7 + x8 + x9 + x10 + x11 >= 182;

e71:    x6 + x7 + x8 + x9 + x10 + x11 >= 248;

e72:    x7 + x8 + x9 + x10 + x11 >= 167;

e73:    x8 + x9 + x10 + x11 >= 89;

e74:    x9 + x10 + x11 >= 48;

e75:    x10 + x11 >= 12;

e76:    x11 >= 2;

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