#  NLP written by GAMS Convert at 01/12/18 13:38:36
#  
#  Equation counts
#      Total        E        G        L        N        X        C        B
#          9        3        1        5        0        0        0        0
#  
#  Variable counts
#                   x        b        i      s1s      s2s       sc       si
#      Total     cont   binary  integer     sos1     sos2    scont     sint
#         43       43        0        0        0        0        0        0
#  FX      0        0        0        0        0        0        0        0
#  
#  Nonzero counts
#      Total    const       NL      DLL
#        167      127       40        0
# 
#  Reformulation has removed 1 variable and 1 equation


var x1 := 29406, >= 17643.6, <= 41168.4;
var x2 := 21375, >= 12825, <= 29925;
var x3 := 8423, >= 5053.8, <= 11792.2;
var x4 := 13873, >= 8323.8, <= 19422.2;
var x5 := 8470, >= 5082, <= 11858;
var x6 := 36375, >= 21825, <= 50925;
var x7 := 66016, >= 39609.6, <= 92422.4;
var x8 := 80134, >= 48080.4, <= 112187.6;
var x9 := 1327, >= 796.2, <= 1857.8;
var x10 := 4414, >= 2648.4, <= 6179.6;
var x11 := 3709, >= 2225.4, <= 5192.6;
var x12 := 14496, >= 8697.6, <= 20294.4;
var x13 := 102399, >= 61439.4, <= 143358.6;
var x14 := 28008, >= 16804.8, <= 39211.2;
var x15 := 69314, >= 41588.4, <= 97039.6;
var x16 := 90014, >= 54008.4, <= 126019.6;
var x17 := 29360, >= 17616, <= 41104;
var x18 := 27687, >= 16612.2, <= 38761.8;
var x19 := 4009, >= 2405.4, <= 5612.6;
var x20 := 24323, >= 14593.8, <= 34052.2;
var x21 := 24709, >= 14825.4, <= 34592.6;
var x22 := 18918, >= 11350.8, <= 26485.2;
var x23 := 20636, >= 12381.6, <= 28890.4;
var x24 := 10457, >= 6274.2, <= 14639.8;
var x25 := 9739, >= 5843.4, <= 13634.6;
var x26 := 18880, >= 11328, <= 26432;
var x27 := 44480, >= 26688, <= 62272;
var x28 := 36526, >= 21915.6, <= 51136.4;
var x29 := 758, >= 454.8, <= 1061.2;
var x30 := 4921, >= 2952.6, <= 6889.4;
var x31 := 6766, >= 4059.6, <= 9472.4;
var x32 := 9368, >= 5620.8, <= 13115.2;
var x33 := 31127, >= 18676.2, <= 43577.8;
var x34 := 1166, >= 699.6, <= 1632.4;
var x35 := 59525, >= 35715, <= 83335;
var x36 := 63048, >= 37828.8, <= 88267.2;
var x37 := 29839, >= 17903.4, <= 41774.6;
var x38 := 16945, >= 10167, <= 23723;
var x39 := 4828, >= 2896.8, <= 6759.2;
var x40 := 24569, >= 14741.4, <= 34396.6;
var x41;
var x42;

minimize obj: -(9.6*x1**0.879*x21**0.121 + 6.353*x2**0.806*x22**0.194 + 9.818*
    x3**0.796*x23**0.204 + 7.371*x4**0.819*x24**0.181 + 10.22*x5**0.829*x25**
    0.171 + 6.255*x6**0.855*x26**0.145 + 8.149*x7**0.696*x27**0.304 + 7.794*x8
    **0.854*x28**0.146 + 8.4*x9**0.827*x29**0.173 + 9.933*x10**0.826*x30**0.174
     + 11.069*x11**0.833*x31**0.167 + 6.528*x12**0.808*x32**0.192 + 7.928*x13**
    0.884*x33**0.116 + 10.559*x14**0.909*x34**0.091 + 6.606*x15**0.773*x35**
    0.227 + 7.153*x16**0.792*x36**0.208 + 11.146*x17**0.849*x37**0.151 + 6.884*
    x18**0.801*x38**0.199 + 6.66*x19**0.747*x39**0.253 + 7.929*x20**0.818*x40**
    0.182);

subject to

e2:    0.797744360902256*x1 + 0.208131595282433*x2 + 0.395400943396226*x3
     + 0.00945378151260504*x4 + 0.016020942408377*x5 + 1.32848209209778*x6
     + 0.347442922374429*x7 + 0.534329395413482*x8 + 0.284322678843227*x9
     + 0.283080040526849*x10 + 0.341982864137087*x11 + 0.0127927927927928*x12
     + 0.0437154696132597*x13 + 0.00886939571150097*x14
     + 0.00797702616464582*x15 + 0.00590969455511288*x16
     + 0.0137430167597765*x17 + 0.00493133583021223*x18
     + 0.0273858921161826*x19 + 0.0741242038216561*x20 <= 153000;

e3:    0.0854323308270677*x1 + 0.153320918684047*x2 + 0.29127358490566*x3
     + 0.00588235294117647*x4 + 0.00879581151832461*x5 + 0.424161455372371*x6
     + 0.263333333333333*x7 + 0.400764419735928*x8 + 0.126560121765601*x9
     + 0.0462006079027356*x10 + 0.0558139534883721*x11 + 0.528528528528528*x12
     + 0.163052486187845*x13 + 0.329044834307992*x14 + 0.0548819400127632*x15
     + 0.0249667994687915*x16 + 0.0412290502793296*x17
     + 0.00792759051186017*x18 + 0.0174273858921162*x19
     + 0.0200636942675159*x20 <= 120000;

e4:    0.281015037593985*x1 + 0.557417752948479*x2 + 0.327830188679245*x3
     + 0.48249299719888*x4 + 0.366492146596859*x5 + 0.266628766344514*x6
     + 0.0589041095890411*x7 + 0.373175816539263*x8 + 2.06088280060883*x9
     + 0.611955420466059*x10 + 0.609547123623011*x11 + 0.691291291291291*x12
     + 0.614640883977901*x13 + 0.260233918128655*x14 + 0.433312061263561*x15
     + 0.412350597609562*x16 + 0.329608938547486*x17 + 0.491260923845194*x18
     + 0.264868603042877*x19 + 0.337579617834395*x20 <= 250000;

e5:    0.676221804511278*x1 + 1.05723153320919*x2 + 0.158608490566038*x3
     + 0.112464985994398*x4 + 0.149633507853403*x5 + 0.883001705514497*x6
     + 0.0844748858447489*x7 + 0.6726893676164*x8 + 0.220700152207002*x9
     + 0.932117527862209*x10 + 0.895960832313342*x11 + 0.571771771771772*x12
     + 0.537292817679558*x13 + 0.362573099415205*x14 + 0.314613911933631*x15
     + 0.164674634794157*x16 + 0.256983240223464*x17 + 0.268414481897628*x18
     + 0.208160442600277*x19 + 0.278662420382166*x20 <= 250000;

e6:    x41 - 0.9*x42 >= 0;

e7:    x41 - 1.4*x42 <= 0;

e8:  - x1 - x2 - x3 - x4 - x5 - x6 - x7 - x8 - x9 - x10 - x11 - x12 - x13 - x14
     - x15 - x16 - x17 - x18 - x19 - x20 + x41 = 0;

e9:  - x21 - x22 - x23 - x24 - x25 - x26 - x27 - x28 - x29 - x30 - x31 - x32
     - x33 - x34 - x35 - x36 - x37 - x38 - x39 - x40 + x42 = 0;