#  MIQCP written by GAMS Convert at 02/15/18 15:36:55
#  
#  Equation counts
#      Total        E        G        L        N        X        C        B
#         33        2        0       31        0        0        0        0
#  
#  Variable counts
#                   x        b        i      s1s      s2s       sc       si
#      Total     cont   binary  integer     sos1     sos2    scont     sint
#         61       31       30        0        0        0        0        0
#  FX      0        0        0        0        0        0        0        0
#  
#  Nonzero counts
#      Total    const       NL      DLL
#        151      121       30        0
# 
#  Reformulation has removed 1 variable and 1 equation


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;
var x11 >= 0;
var x12 >= 0;
var x13 >= 0;
var x14 >= 0;
var x15 >= 0;
var x16 >= 0;
var x17 >= 0;
var x18 >= 0;
var x19 >= 0;
var x20 >= 0;
var x21 >= 0;
var x22 >= 0;
var x23 >= 0;
var x24 >= 0;
var x25 >= 0;
var x26 >= 0;
var x27 >= 0;
var x28 >= 0;
var x29 >= 0;
var x30 >= 0;
var x31 >= 0;
var b32 binary >= 0, <= 1;
var b33 binary >= 0, <= 1;
var b34 binary >= 0, <= 1;
var b35 binary >= 0, <= 1;
var b36 binary >= 0, <= 1;
var b37 binary >= 0, <= 1;
var b38 binary >= 0, <= 1;
var b39 binary >= 0, <= 1;
var b40 binary >= 0, <= 1;
var b41 binary >= 0, <= 1;
var b42 binary >= 0, <= 1;
var b43 binary >= 0, <= 1;
var b44 binary >= 0, <= 1;
var b45 binary >= 0, <= 1;
var b46 binary >= 0, <= 1;
var b47 binary >= 0, <= 1;
var b48 binary >= 0, <= 1;
var b49 binary >= 0, <= 1;
var b50 binary >= 0, <= 1;
var b51 binary >= 0, <= 1;
var b52 binary >= 0, <= 1;
var b53 binary >= 0, <= 1;
var b54 binary >= 0, <= 1;
var b55 binary >= 0, <= 1;
var b56 binary >= 0, <= 1;
var b57 binary >= 0, <= 1;
var b58 binary >= 0, <= 1;
var b59 binary >= 0, <= 1;
var b60 binary >= 0, <= 1;
var b61 binary >= 0, <= 1;

minimize obj: 26.4414*x2^2 + 31.8776*x2*x3 + 34.2334*x2*x4 + 32.261*x2*x5 + 
    34.5232*x2*x6 + 37.1318*x2*x7 + 27.5326*x2*x8 + 32.9178*x2*x9 + 29.9458*x2*
    x10 + 35.2648*x2*x11 + 29.8428*x2*x12 + 14.47452*x2*x13 + 31.8688*x2*x14 + 
    25.5858*x2*x15 + 29.7152*x2*x16 + 41.7352*x2*x17 + 34.8416*x2*x18 + 8320.7*
    x2*x19 + 5388.42*x2*x20 + 5083.5*x2*x21 + 8382.5*x2*x22 + 8117.14*x2*x23 + 
    8309.6*x2*x24 + 8409.98*x2*x25 + 7871.86*x2*x26 + 6816.86*x2*x27 + 8170.36*
    x2*x28 + 8090.94*x2*x29 + 8130.26*x2*x30 + 8130.36*x2*x31 + 22.0241*x3^2 + 
    29.9002*x3*x4 + 39.3944*x3*x5 + 26.9506*x3*x6 + 29.231*x3*x7 + 23.4114*x3*
    x8 + 22.9796*x3*x9 + 29.5198*x3*x10 + 31.7528*x3*x11 + 30.5358*x3*x12 + 
    32.2672*x3*x13 + 29.1982*x3*x14 + 32.3038*x3*x15 + 30.0074*x3*x16 + 27.417*
    x3*x17 + 29.333*x3*x18 + 8322.86*x3*x19 + 5396.8*x3*x20 + 5092.02*x3*x21 + 
    8389.04*x3*x22 + 8117.14*x3*x23 + 8309.2*x3*x24 + 8397.86*x3*x25 + 7873.6*
    x3*x26 + 6817.3*x3*x27 + 8173.16*x3*x28 + 8095.94*x3*x29 + 8131.76*x3*x30
     + 8126.96*x3*x31 + 16.3118*x4^2 + 31.2434*x4*x5 + 30.1208*x4*x6 + 27.994*
    x4*x7 + 30.737*x4*x8 + 30.0892*x4*x9 + 30.5646*x4*x10 + 30.509*x4*x11 + 
    29.3786*x4*x12 + 27.1568*x4*x13 + 31.6718*x4*x14 + 30.978*x4*x15 + 30.2282*
    x4*x16 + 33.5678*x4*x17 + 33.0392*x4*x18 + 8321.18*x4*x19 + 5396.72*x4*x20
     + 5085.76*x4*x21 + 8381.94*x4*x22 + 8117.14*x4*x23 + 8308.94*x4*x24 + 
    8410.84*x4*x25 + 7874.54*x4*x26 + 6820.88*x4*x27 + 8172.46*x4*x28 + 8093.72
    *x4*x29 + 8130.56*x4*x30 + 8126.84*x4*x31 + 25.5309*x5^2 + 25.9898*x5*x6 + 
    27.3908*x5*x7 + 33.5668*x5*x8 + 29.642*x5*x9 + 31.985*x5*x10 + 32.1882*x5*
    x11 + 25.8068*x5*x12 + 31.8534*x5*x13 + 30.4702*x5*x14 + 33.1082*x5*x15 + 
    26.096*x5*x16 + 25.577*x5*x17 + 31.3224*x5*x18 + 8324.12*x5*x19 + 5397.76*
    x5*x20 + 5084.56*x5*x21 + 8385.4*x5*x22 + 8117.14*x5*x23 + 8310.3*x5*x24 + 
    8387*x5*x25 + 7872.5*x5*x26 + 6816.12*x5*x27 + 8171.74*x5*x28 + 8092.22*x5*
    x29 + 8130.66*x5*x30 + 8134.7*x5*x31 + 23.4963*x6^2 + 34.542*x6*x7 + 
    44.8138*x6*x8 + 26.6146*x6*x9 + 24.2472*x6*x10 + 32.4088*x6*x11 + 33.3554*
    x6*x12 + 23.5842*x6*x13 + 29.9674*x6*x14 + 25.189*x6*x15 + 29.5992*x6*x16
     + 40.8414*x6*x17 + 29.6818*x6*x18 + 8320.02*x6*x19 + 5386.36*x6*x20 + 
    5078.76*x6*x21 + 8375.68*x6*x22 + 8117.14*x6*x23 + 8307.76*x6*x24 + 8412.56
    *x6*x25 + 7872.76*x6*x26 + 6814.86*x6*x27 + 8168.56*x6*x28 + 8093.46*x6*x29
     + 8131.58*x6*x30 + 8124.6*x6*x31 + 30.1236*x7^2 + 25.123*x7*x8 + 35.3596*
    x7*x9 + 35.6262*x7*x10 + 30.3534*x7*x11 + 34.5902*x7*x12 + 22.439*x7*x13 + 
    27.6916*x7*x14 + 25.4104*x7*x15 + 18.33206*x7*x16 + 34.2058*x7*x17 + 
    33.5522*x7*x18 + 8321.06*x7*x19 + 5392.64*x7*x20 + 5077.68*x7*x21 + 8382.1*
    x7*x22 + 8117.16*x7*x23 + 8305.02*x7*x24 + 8401.16*x7*x25 + 7869.96*x7*x26
     + 6805.54*x7*x27 + 8163.3*x7*x28 + 8091.16*x7*x29 + 8128.72*x7*x30 + 
    8112.58*x7*x31 + 35.6533*x8^2 + 40.488*x8*x9 + 24.9396*x8*x10 + 29.2916*x8*
    x11 + 27.1116*x8*x12 + 37.2278*x8*x13 + 22.4802*x8*x14 + 32.2382*x8*x15 + 
    20.5754*x8*x16 + 31.2806*x8*x17 + 29.495*x8*x18 + 8321.26*x8*x19 + 5391.26*
    x8*x20 + 5073.18*x8*x21 + 8368.34*x8*x22 + 8117.14*x8*x23 + 8307.24*x8*x24
     + 8403.6*x8*x25 + 7873.98*x8*x26 + 6818.14*x8*x27 + 8167.7*x8*x28 + 
    8089.98*x8*x29 + 8133*x8*x30 + 8134.7*x8*x31 + 35.0777*x9^2 + 40.9214*x9*
    x10 + 28.6906*x9*x11 + 28.6508*x9*x12 + 29.3594*x9*x13 + 25.7026*x9*x14 + 
    26.2662*x9*x15 + 15.20968*x9*x16 + 23.9418*x9*x17 + 32.741*x9*x18 + 8322.66
    *x9*x19 + 5405.4*x9*x20 + 5061.54*x9*x21 + 8369.84*x9*x22 + 8117.14*x9*x23
     + 8306.5*x9*x24 + 8417*x9*x25 + 7877.68*x9*x26 + 6817.08*x9*x27 + 8168.94*
    x9*x28 + 8093.42*x9*x29 + 8129.78*x9*x30 + 8127.12*x9*x31 + 31.9607*x10^2
     + 19.92378*x10*x11 + 33.5336*x10*x12 + 33.465*x10*x13 + 35.0802*x10*x14 + 
    35.0612*x10*x15 + 29.7026*x10*x17 + 26.8764*x10*x18 + 8321.72*x10*x19 + 
    5421.66*x10*x20 + 5080.32*x10*x21 + 8381.42*x10*x22 + 8117.12*x10*x23 + 
    8308.5*x10*x24 + 8417.88*x10*x25 + 7871.7*x10*x26 + 6814.52*x10*x27 + 
    8168.74*x10*x28 + 8100.38*x10*x29 + 8130.22*x10*x30 + 8122.34*x10*x31 + 
    20.1257*x11^2 + 30.861*x11*x12 + 24.2044*x11*x13 + 30.3362*x11*x14 + 25.174
    *x11*x15 + 36.1454*x11*x16 + 35.6652*x11*x17 + 30.2324*x11*x18 + 8320.52*
    x11*x19 + 5385.7*x11*x20 + 5082.12*x11*x21 + 8382.5*x11*x22 + 8117.14*x11*
    x23 + 8308.4*x11*x24 + 8403.74*x11*x25 + 7876.4*x11*x26 + 6820.34*x11*x27
     + 8173.3*x11*x28 + 8090.22*x11*x29 + 8129.54*x11*x30 + 8124.98*x11*x31 + 
    18.3645*x12^2 + 30.8412*x12*x13 + 33.4266*x12*x14 + 23.0976*x12*x15 + 
    21.218*x12*x16 + 35.4894*x12*x17 + 29.6194*x12*x18 + 8319.34*x12*x19 + 
    5396.24*x12*x20 + 5081.36*x12*x21 + 8384.12*x12*x22 + 8117.14*x12*x23 + 
    8307.22*x12*x24 + 8411.18*x12*x25 + 7875.26*x12*x26 + 6822.32*x12*x27 + 
    8171.88*x12*x28 + 8095.86*x12*x29 + 8131.04*x12*x30 + 8119.94*x12*x31 + 
    28.757*x13^2 + 23.403*x13*x14 + 36.9292*x13*x15 + 18.74142*x13*x16 + 
    14.9144*x13*x17 + 26.3782*x13*x18 + 8318.98*x13*x19 + 5411.32*x13*x20 + 
    5088.22*x13*x21 + 8381.86*x13*x22 + 8117.16*x13*x23 + 8307.38*x13*x24 + 
    8407.48*x13*x25 + 7874.62*x13*x26 + 6821.04*x13*x27 + 8176.04*x13*x28 + 
    8095.48*x13*x29 + 8134.18*x13*x30 + 8124.04*x13*x31 + 24.7185*x14^2 + 
    16.44096*x14*x15 + 24.8258*x14*x16 + 37.9924*x14*x17 + 38.1424*x14*x18 + 
    8319.42*x14*x19 + 5397.54*x14*x20 + 5082.36*x14*x21 + 8381.64*x14*x22 + 
    8117.12*x14*x23 + 8311.64*x14*x24 + 8404.86*x14*x25 + 7877.36*x14*x26 + 
    6825.42*x14*x27 + 8174.28*x14*x28 + 8093.88*x14*x29 + 8130.72*x14*x30 + 
    8122.72*x14*x31 + 28.4836*x15^2 + 35.0394*x15*x16 + 22.7462*x15*x17 + 
    21.448*x15*x18 + 8323.58*x15*x19 + 5411.12*x15*x20 + 5096.58*x15*x21 + 
    8382.68*x15*x22 + 8117.14*x15*x23 + 8307.82*x15*x24 + 8418.42*x15*x25 + 
    7869.78*x15*x26 + 6804.66*x15*x27 + 8169.82*x15*x28 + 8095.46*x15*x29 + 
    8130.96*x15*x30 + 8122.96*x15*x31 + 51.4822*x16^2 + 21.1406*x16*x17 + 
    23.5732*x16*x18 + 8323.82*x16*x19 + 5395.76*x16*x20 + 5101*x16*x21 + 8369.8
    *x16*x22 + 8117.14*x16*x23 + 8311.28*x16*x24 + 8431.86*x16*x25 + 7876.06*
    x16*x26 + 6819.28*x16*x27 + 8172.42*x16*x28 + 8087.98*x16*x29 + 8132.9*x16*
    x30 + 8132.62*x16*x31 + 26.8095*x17^2 + 31.5364*x17*x18 + 8318.82*x17*x19
     + 5383.72*x17*x20 + 5079.92*x17*x21 + 8384.88*x17*x22 + 8117.14*x17*x23 + 
    8307.42*x17*x24 + 8407.7*x17*x25 + 7873.84*x17*x26 + 6822.88*x17*x27 + 8170
    *x17*x28 + 8093.32*x17*x29 + 8129.56*x17*x30 + 8118.7*x17*x31 + 25.6128*x18
    ^2 + 8320.14*x18*x19 + 5383.62*x18*x20 + 5082.58*x18*x21 + 8385.26*x18*x22
     + 8117.14*x18*x23 + 8309.82*x18*x24 + 8398.9*x18*x25 + 7876.48*x18*x26 + 
    6818.38*x18*x27 + 8174.48*x18*x28 + 8092.52*x18*x29 + 8127.9*x18*x30 + 
    8125.68*x18*x31 + 3883.84*x19^2 + 8215.38*x19*x20 + 8176.4*x19*x21 + 
    7718.38*x19*x22 + 8118.3*x19*x23 + 8096.52*x19*x24 + 8083.22*x19*x25 + 
    8186.64*x19*x26 + 8269.56*x19*x27 + 8261.4*x19*x28 + 8098.14*x19*x29 + 
    8177.34*x19*x30 + 8125.16*x19*x31 + 3282.11*x20^2 + 7214.14*x20*x21 + 
    8366.94*x20*x22 + 8117.46*x20*x23 + 8255.68*x20*x24 + 8126.42*x20*x25 + 
    8115.1*x20*x26 + 7744.02*x20*x27 + 8114.26*x20*x28 + 8036*x20*x29 + 8028.92
    *x20*x30 + 7825.92*x20*x31 + 3017.64*x21^2 + 8205.88*x21*x22 + 8118.62*x21*
    x23 + 8148.48*x21*x24 + 8308.04*x21*x25 + 7894.36*x21*x26 + 7498.9*x21*x27
     + 8223.16*x21*x28 + 8096.04*x21*x29 + 8121.44*x21*x30 + 8080.6*x21*x31 + 
    3690.22*x22^2 + 8118.82*x22*x23 + 8247.3*x22*x24 + 7949.64*x22*x25 + 8103.4
    *x22*x26 + 8290.14*x22*x27 + 8349.2*x22*x28 + 8152.04*x22*x29 + 8152.82*x22
    *x30 + 8203.68*x22*x31 + 4058.96*x23^2 + 8117.66*x23*x24 + 8119.28*x23*x25
     + 8118.12*x23*x26 + 8117.38*x23*x27 + 8117.28*x23*x28 + 8117.82*x23*x29 + 
    8117.92*x23*x30 + 8117.92*x23*x31 + 3995.68*x24^2 + 8252.62*x24*x25 + 
    8175.22*x24*x26 + 8108.28*x24*x27 + 8093.28*x24*x28 + 8111.8*x24*x29 + 
    8161.34*x24*x30 + 8158.9*x24*x31 + 3741.05*x25^2 + 8086.5*x25*x26 + 8304.56
    *x25*x27 + 8205.82*x25*x28 + 8139.52*x25*x29 + 8077.64*x25*x30 + 8040.3*x25
    *x31 + 4015.67*x26^2 + 8097.72*x26*x27 + 8087.92*x26*x28 + 8118.78*x26*x29
     + 8097.48*x26*x30 + 8097.36*x26*x31 + 3654.48*x27^2 + 8055.12*x27*x28 + 
    8170.42*x27*x29 + 8056.84*x27*x30 + 8365.58*x27*x31 + 3944.96*x28^2 + 
    8080.56*x28*x29 + 8069.68*x28*x30 + 8047.32*x28*x31 + 4043.1*x29^2 + 
    8108.72*x29*x30 + 8035.24*x29*x31 + 4035.74*x30^2 + 8086.48*x30*x31 + 
    3930.03*x31^2;

subject to

e2:    x2 + x3 + x4 + x5 + x6 + x7 + x8 + x9 + x10 + x11 + x12 + x13 + x14
     + x15 + x16 + x17 + x18 + x19 + x20 + x21 + x22 + x23 + x24 + x25 + x26
     + x27 + x28 + x29 + x30 + x31 = 1;

e3:    b32 + b33 + b34 + b35 + b36 + b37 + b38 + b39 + b40 + b41 + b42 + b43
     + b44 + b45 + b46 + b47 + b48 + b49 + b50 + b51 + b52 + b53 + b54 + b55
     + b56 + b57 + b58 + b59 + b60 + b61 <= 5;

e4:    x2 - b32 <= 0;

e5:    x3 - b33 <= 0;

e6:    x4 - b34 <= 0;

e7:    x5 - b35 <= 0;

e8:    x6 - b36 <= 0;

e9:    x7 - b37 <= 0;

e10:    x8 - b38 <= 0;

e11:    x9 - b39 <= 0;

e12:    x10 - b40 <= 0;

e13:    x11 - b41 <= 0;

e14:    x12 - b42 <= 0;

e15:    x13 - b43 <= 0;

e16:    x14 - b44 <= 0;

e17:    x15 - b45 <= 0;

e18:    x16 - b46 <= 0;

e19:    x17 - b47 <= 0;

e20:    x18 - b48 <= 0;

e21:    x19 - b49 <= 0;

e22:    x20 - b50 <= 0;

e23:    x21 - b51 <= 0;

e24:    x22 - b52 <= 0;

e25:    x23 - b53 <= 0;

e26:    x24 - b54 <= 0;

e27:    x25 - b55 <= 0;

e28:    x26 - b56 <= 0;

e29:    x27 - b57 <= 0;

e30:    x28 - b58 <= 0;

e31:    x29 - b59 <= 0;

e32:    x30 - b60 <= 0;

e33:    x31 - b61 <= 0;