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A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Instance pooling_epa2

Formats ams gms mod nl osil py
Primal Bounds (infeas ≤ 1e-08)
-4567.35581200 p1 ( gdx sol )
(infeas: 3e-11)
Other points (infeas > 1e-08)  
Dual Bounds
-4567.35581200 (ANTIGONE)
-4567.35581200 (BARON)
-4649.16000000 (COUENNE)
-4567.40821100 (LINDO)
-4567.78238300 (OCTERACT)
-4623.09338400 (SCIP)
References Misener, Ruth, Gounaris, Chrysanthos, and Floudas, C A, Extended Pooling Problem with the Summer Time (EPA) Complex Emissions Constraints, 2010.
Source pooling.gms from minlp.org model 82
Application Pooling Problem
Added to library 25 Sep 2013
Problem type MBNLP
#Variables 331
#Binary Variables 45
#Integer Variables 0
#Nonlinear Variables 100
#Nonlinear Binary Variables 0
#Nonlinear Integer Variables 0
Objective Sense min
Objective type quadratic
Objective curvature indefinite
#Nonzeros in Objective 30
#Nonlinear Nonzeros in Objective 19
#Constraints 524
#Linear Constraints 439
#Quadratic Constraints 61
#Polynomial Constraints 3
#Signomial Constraints 3
#General Nonlinear Constraints 18
Operands in Gen. Nonlin. Functions exp mul vcpower
Constraints curvature indefinite
#Nonzeros in Jacobian 1883
#Nonlinear Nonzeros in Jacobian 535
#Nonzeros in (Upper-Left) Hessian of Lagrangian 804
#Nonzeros in Diagonal of Hessian of Lagrangian 54
#Blocks in Hessian of Lagrangian 9
Minimal blocksize in Hessian of Lagrangian 1
Maximal blocksize in Hessian of Lagrangian 26
Average blocksize in Hessian of Lagrangian 11.111111
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Minimal coefficient 6.6300e-07
Maximal coefficient 1.3400e+03
Infeasibility of initial point 7000
Sparsity Jacobian Sparsity of Objective Gradient and Jacobian
Sparsity Hessian of Lagrangian Sparsity of Hessian of Lagrangian

$offlisting
*  
*  Equation counts
*      Total        E        G        L        N        X        C        B
*        525      151       96      278        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        332      287       45        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       1914     1360      554        0
*
*  Solve m using MINLP minimizing objvar;


Variables  x1,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,x32,x33,x34,x35,x36
          ,x37,x38,x39,x40,x41,x42,x43,x44,x45,x46,x47,x48,x49,x50,x51,x52,x53
          ,x54,x55,x56,x57,x58,x59,x60,x61,x62,x63,x64,x65,x66,x67,objvar,b69
          ,b70,b71,b72,b73,b74,b75,b76,b77,b78,b79,b80,b81,b82,b83,b84,b85,b86
          ,b87,b88,b89,b90,b91,b92,b93,b94,b95,b96,b97,b98,b99,b100,b101,b102
          ,b103,b104,b105,b106,b107,b108,b109,b110,b111,b112,b113,x114,x115
          ,x116,x117,x118,x119,x120,x121,x122,x123,x124,x125,x126,x127,x128
          ,x129,x130,x131,x132,x133,x134,x135,x136,x137,x138,x139,x140,x141
          ,x142,x143,x144,x145,x146,x147,x148,x149,x150,x151,x152,x153,x154
          ,x155,x156,x157,x158,x159,x160,x161,x162,x163,x164,x165,x166,x167
          ,x168,x169,x170,x171,x172,x173,x174,x175,x176,x177,x178,x179,x180
          ,x181,x182,x183,x184,x185,x186,x187,x188,x189,x190,x191,x192,x193
          ,x194,x195,x196,x197,x198,x199,x200,x201,x202,x203,x204,x205,x206
          ,x207,x208,x209,x210,x211,x212,x213,x214,x215,x216,x217,x218,x219
          ,x220,x221,x222,x223,x224,x225,x226,x227,x228,x229,x230,x231,x232
          ,x233,x234,x235,x236,x237,x238,x239,x240,x241,x242,x243,x244,x245
          ,x246,x247,x248,x249,x250,x251,x252,x253,x254,x255,x256,x257,x258
          ,x259,x260,x261,x262,x263,x264,x265,x266,x267,x268,x269,x270,x271
          ,x272,x273,x274,x275,x276,x277,x278,x279,x280,x281,x282,x283,x284
          ,x285,x286,x287,x288,x289,x290,x291,x292,x293,x294,x295,x296,x297
          ,x298,x299,x300,x301,x302,x303,x304,x305,x306,x307,x308,x309,x310
          ,x311,x312,x313,x314,x315,x316,x317,x318,x319,x320,x321,x322,x323
          ,x324,x325,x326,x327,x328,x329,x330,x331,x332;

Positive Variables  x1,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,x33,x35,x36
          ,x40,x41,x42,x43,x44,x46,x47,x51,x52,x53,x54,x55,x57,x58,x62,x63,x64
          ,x65,x66,x67,x114,x115,x116,x117,x118,x119,x120,x121,x122,x123,x124
          ,x125,x126,x127,x128,x129,x130,x131,x132,x133,x134,x135,x136,x137
          ,x138,x139,x140,x141,x142,x143,x144,x145,x146,x147,x148,x149,x150
          ,x151,x152,x153,x154,x155,x156,x157,x158,x159,x160,x161,x162,x163
          ,x164,x165,x166,x167,x168,x169,x170,x171,x172,x173,x174,x175,x176
          ,x177,x178,x179,x180,x181,x182,x183,x184,x185,x186,x187,x188,x189
          ,x190,x191,x192,x193,x194,x195,x196,x197,x198,x199,x200,x201,x202
          ,x203,x204,x205,x206,x207,x208,x209,x210,x211,x212,x213,x214,x215
          ,x216,x217,x218,x219,x220,x221,x222,x223,x224,x225,x226,x227,x228
          ,x229,x230,x231,x232,x233;

Binary Variables  b69,b70,b71,b72,b73,b74,b75,b76,b77,b78,b79,b80,b81,b82,b83
          ,b84,b85,b86,b87,b88,b89,b90,b91,b92,b93,b94,b95,b96,b97,b98,b99
          ,b100,b101,b102,b103,b104,b105,b106,b107,b108,b109,b110,b111,b112
          ,b113;

Equations  e1,e2,e3,e4,e5,e6,e7,e8,e9,e10,e11,e12,e13,e14,e15,e16,e17,e18,e19
          ,e20,e21,e22,e23,e24,e25,e26,e27,e28,e29,e30,e31,e32,e33,e34,e35,e36
          ,e37,e38,e39,e40,e41,e42,e43,e44,e45,e46,e47,e48,e49,e50,e51,e52,e53
          ,e54,e55,e56,e57,e58,e59,e60,e61,e62,e63,e64,e65,e66,e67,e68,e69,e70
          ,e71,e72,e73,e74,e75,e76,e77,e78,e79,e80,e81,e82,e83,e84,e85,e86,e87
          ,e88,e89,e90,e91,e92,e93,e94,e95,e96,e97,e98,e99,e100,e101,e102,e103
          ,e104,e105,e106,e107,e108,e109,e110,e111,e112,e113,e114,e115,e116
          ,e117,e118,e119,e120,e121,e122,e123,e124,e125,e126,e127,e128,e129
          ,e130,e131,e132,e133,e134,e135,e136,e137,e138,e139,e140,e141,e142
          ,e143,e144,e145,e146,e147,e148,e149,e150,e151,e152,e153,e154,e155
          ,e156,e157,e158,e159,e160,e161,e162,e163,e164,e165,e166,e167,e168
          ,e169,e170,e171,e172,e173,e174,e175,e176,e177,e178,e179,e180,e181
          ,e182,e183,e184,e185,e186,e187,e188,e189,e190,e191,e192,e193,e194
          ,e195,e196,e197,e198,e199,e200,e201,e202,e203,e204,e205,e206,e207
          ,e208,e209,e210,e211,e212,e213,e214,e215,e216,e217,e218,e219,e220
          ,e221,e222,e223,e224,e225,e226,e227,e228,e229,e230,e231,e232,e233
          ,e234,e235,e236,e237,e238,e239,e240,e241,e242,e243,e244,e245,e246
          ,e247,e248,e249,e250,e251,e252,e253,e254,e255,e256,e257,e258,e259
          ,e260,e261,e262,e263,e264,e265,e266,e267,e268,e269,e270,e271,e272
          ,e273,e274,e275,e276,e277,e278,e279,e280,e281,e282,e283,e284,e285
          ,e286,e287,e288,e289,e290,e291,e292,e293,e294,e295,e296,e297,e298
          ,e299,e300,e301,e302,e303,e304,e305,e306,e307,e308,e309,e310,e311
          ,e312,e313,e314,e315,e316,e317,e318,e319,e320,e321,e322,e323,e324
          ,e325,e326,e327,e328,e329,e330,e331,e332,e333,e334,e335,e336,e337
          ,e338,e339,e340,e341,e342,e343,e344,e345,e346,e347,e348,e349,e350
          ,e351,e352,e353,e354,e355,e356,e357,e358,e359,e360,e361,e362,e363
          ,e364,e365,e366,e367,e368,e369,e370,e371,e372,e373,e374,e375,e376
          ,e377,e378,e379,e380,e381,e382,e383,e384,e385,e386,e387,e388,e389
          ,e390,e391,e392,e393,e394,e395,e396,e397,e398,e399,e400,e401,e402
          ,e403,e404,e405,e406,e407,e408,e409,e410,e411,e412,e413,e414,e415
          ,e416,e417,e418,e419,e420,e421,e422,e423,e424,e425,e426,e427,e428
          ,e429,e430,e431,e432,e433,e434,e435,e436,e437,e438,e439,e440,e441
          ,e442,e443,e444,e445,e446,e447,e448,e449,e450,e451,e452,e453,e454
          ,e455,e456,e457,e458,e459,e460,e461,e462,e463,e464,e465,e466,e467
          ,e468,e469,e470,e471,e472,e473,e474,e475,e476,e477,e478,e479,e480
          ,e481,e482,e483,e484,e485,e486,e487,e488,e489,e490,e491,e492,e493
          ,e494,e495,e496,e497,e498,e499,e500,e501,e502,e503,e504,e505,e506
          ,e507,e508,e509,e510,e511,e512,e513,e514,e515,e516,e517,e518,e519
          ,e520,e521,e522,e523,e524,e525;


e1.. -(3*x1*x11 + 3*x1*x12 + 3*x1*x13 + 2*x2*x11 + 2*x2*x12 + 2*x2*x13 + 3.5*x3
     *x17 + 3.5*x3*x18 + 3.5*x3*x19 + 2*x4*x14 + 2*x4*x15 + 2*x4*x16 + x5*x14
      + x5*x15 + x5*x16 + 3*x6*x11 + 3*x6*x12 + 3*x6*x13 + 0.7*x7*x14 + 0.7*x7*
     x15 + 0.7*x7*x16 + 0.5*x8*x14 + 0.5*x8*x15 + 0.5*x8*x16 + 0.3*x9*x17 + 0.3
     *x9*x18 + 0.3*x9*x19 + 2.5*x10*x17 + 2.5*x10*x18 + 2.5*x10*x19 - 6.3*x11
      - 5.5*x12 - 5*x13 - 6.3*x14 - 5.5*x15 - 5*x16 - 6.3*x17 - 5.5*x18 - 5*x19
     ) - 1.2*x20 - 2*x21 - 2.5*x22 - 4.2*x23 - 5*x24 - 5.5*x25 - 2.2*x26
      - 3*x27 - 3.5*x28 + 0.8*x29 - 0.5*x31 + objvar =E= 0;

e2.. x1*x11 + x1*x12 + x1*x13 =L= 75;

e3.. x2*x11 + x2*x12 + x2*x13 =L= 50;

e4.. x3*x17 + x3*x18 + x3*x19 =L= 75;

e5.. x4*x14 + x4*x15 + x4*x16 =L= 75;

e6.. x5*x14 + x5*x15 + x5*x16 =L= 300;

e7.. x6*x11 + x6*x12 + x6*x13 =L= 150;

e8.. x7*x14 + x7*x15 + x7*x16 =L= 50;

e9.. x8*x14 + x8*x15 + x8*x16 =L= 100;

e10.. x9*x17 + x9*x18 + x9*x19 =L= 200;

e11.. x10*x17 + x10*x18 + x10*x19 =L= 100;

e12..    x20 + x21 + x22 =L= 5;

e13..    x23 + x24 + x25 =L= 10;

e14..    x26 + x27 + x28 =L= 10;

e15..    x29 + x30 + x31 =L= 100;

e16.. -(x8*x14 + x8*x15 + x8*x16) =L= -10;

e17.. -(x9*x17 + x9*x18 + x9*x19) =L= -20;

e18.. -(x10*x17 + x10*x18 + x10*x19) =L= -10;

e19..    x11 + x12 + x13 =L= 400;

e20..    x14 + x15 + x16 =L= 575;

e21..    x17 + x18 + x19 =L= 500;

e22..    x1 + x2 + x6 =E= 1;

e23..    x4 + x5 + x7 + x8 =E= 1;

e24..    x3 + x9 + x10 =E= 1;

e25.. x1*x11 + x2*x11 + x6*x11 - x11 =E= 0;

e26.. x1*x12 + x2*x12 + x6*x12 - x12 =E= 0;

e27.. x1*x13 + x2*x13 + x6*x13 - x13 =E= 0;

e28.. x4*x14 + x5*x14 + x7*x14 + x8*x14 - x14 =E= 0;

e29.. x4*x15 + x5*x15 + x7*x15 + x8*x15 - x15 =E= 0;

e30.. x4*x16 + x5*x16 + x7*x16 + x8*x16 - x16 =E= 0;

e31.. x3*x17 + x9*x17 + x10*x17 - x17 =E= 0;

e32.. x3*x18 + x9*x18 + x10*x18 - x18 =E= 0;

e33.. x3*x19 + x9*x19 + x10*x19 - x19 =E= 0;

e34..  - x11 - x14 - x17 - x20 - x23 - x26 - x29 + x32 =E= 0;

e35..  - x12 - x15 - x18 - x21 - x24 - x27 - x30 + x33 =E= 0;

e36..  - x13 - x16 - x19 - x22 - x25 - x28 - x31 + x34 =E= 0;

e37.. x35*x32 - 18.15*x20 - 15.66*x23 - 15.66*x26 - 34.73*x29 =E= 0;

e38.. x36*x32 - (50*x4*x14 + 100*x5*x14 + 15*x6*x11 + 200*x7*x14 + 400*x8*x14
       + 700*x9*x17 + 10*x10*x17) =E= 0;

e39.. x38*x32 - (100*x1*x11 + 100*x2*x11 + 50*x3*x17 + 100*x4*x14 + 70*x5*x14
       + 60*x6*x11 + 85*x7*x14 + 45*x8*x14 + 15*x9*x17 + 30*x10*x17) - 100*x20
       - 95*x23 - 70*x26 - 100*x29 =E= 0;

e40.. x39*x32 - (100*x1*x11 + 100*x2*x11 + 95*x3*x17 + 100*x4*x14 + 100*x5*x14
       + 85*x6*x11 + 100*x7*x14 + 80*x8*x14 + 60*x9*x17 + 70*x10*x17) - 100*x20
       - 100*x23 - 100*x26 - 100*x29 =E= 0;

e41.. x40*x32 - (7.5*x5*x14 + 3.2*x6*x11 + 10*x7*x14 + 35*x8*x14 + 65*x9*x17 + 
      60*x10*x17) =E= 0;

e42.. x41*x32 - (2*x5*x14 + x7*x14 + 3*x8*x14 + 4*x9*x17 + 5*x10*x17) =E= 0;

e43.. x42*x32 - (37*x5*x14 + 12*x6*x11 + 60*x7*x14 + 20*x8*x14 + 15*x9*x17 + 3*
      x10*x17) =E= 0;

e44.. x43*x32 - 18.15*x20 =E= 0;

e45.. x44*x32 - 15.66*x23 =E= 0;

e46.. x45*x32 - 34.73*x29 =E= 0;

e47.. x46*x33 - 18.15*x21 - 15.66*x24 - 15.66*x27 - 34.73*x30 =E= 0;

e48.. x47*x33 - (50*x4*x15 + 100*x5*x15 + 15*x6*x12 + 200*x7*x15 + 400*x8*x15
       + 700*x9*x18 + 10*x10*x18) =E= 0;

e49.. x49*x33 - (100*x1*x12 + 100*x2*x12 + 50*x3*x18 + 100*x4*x15 + 70*x5*x15
       + 60*x6*x12 + 85*x7*x15 + 45*x8*x15 + 15*x9*x18 + 30*x10*x18) - 100*x21
       - 95*x24 - 70*x27 - 100*x30 =E= 0;

e50.. x50*x33 - (100*x1*x12 + 100*x2*x12 + 95*x3*x18 + 100*x4*x15 + 100*x5*x15
       + 85*x6*x12 + 100*x7*x15 + 80*x8*x15 + 60*x9*x18 + 70*x10*x18) - 100*x21
       - 100*x24 - 100*x27 - 100*x30 =E= 0;

e51.. x51*x33 - (7.5*x5*x15 + 3.2*x6*x12 + 10*x7*x15 + 35*x8*x15 + 65*x9*x18 + 
      60*x10*x18) =E= 0;

e52.. x52*x33 - (2*x5*x15 + x7*x15 + 3*x8*x15 + 4*x9*x18 + 5*x10*x18) =E= 0;

e53.. x53*x33 - (37*x5*x15 + 12*x6*x12 + 60*x7*x15 + 20*x8*x15 + 15*x9*x18 + 3*
      x10*x18) =E= 0;

e54.. x54*x33 - 18.15*x21 =E= 0;

e55.. x55*x33 - 15.66*x24 =E= 0;

e56.. x56*x33 - 34.73*x30 =E= 0;

e57.. x57*x34 - 18.15*x22 - 15.66*x25 - 15.66*x28 - 34.73*x31 =E= 0;

e58.. x58*x34 - (50*x4*x16 + 100*x5*x16 + 15*x6*x13 + 200*x7*x16 + 400*x8*x16
       + 700*x9*x19 + 10*x10*x19) =E= 0;

e59.. x60*x34 - (100*x1*x13 + 100*x2*x13 + 50*x3*x19 + 100*x4*x16 + 70*x5*x16
       + 60*x6*x13 + 85*x7*x16 + 45*x8*x16 + 15*x9*x19 + 30*x10*x19) - 100*x22
       - 95*x25 - 70*x28 - 100*x31 =E= 0;

e60.. x61*x34 - (100*x1*x13 + 100*x2*x13 + 95*x3*x19 + 100*x4*x16 + 100*x5*x16
       + 85*x6*x13 + 100*x7*x16 + 80*x8*x16 + 60*x9*x19 + 70*x10*x19) - 100*x22
       - 100*x25 - 100*x28 - 100*x31 =E= 0;

e61.. x62*x34 - (7.5*x5*x16 + 3.2*x6*x13 + 10*x7*x16 + 35*x8*x16 + 65*x9*x19 + 
      60*x10*x19) =E= 0;

e62.. x63*x34 - (2*x5*x16 + x7*x16 + 3*x8*x16 + 4*x9*x19 + 5*x10*x19) =E= 0;

e63.. x64*x34 - (37*x5*x16 + 12*x6*x13 + 60*x7*x16 + 20*x8*x16 + 15*x9*x19 + 3*
      x10*x19) =E= 0;

e64.. x65*x34 - 18.15*x22 =E= 0;

e65.. x66*x34 - 15.66*x25 =E= 0;

e66.. x67*x34 - 34.73*x31 =E= 0;

e67.. x37**1.25*x32 - (166.989461022824*x1*x11 + 44.9545980014895*x2*x11 + 
      12.2050524378911*x3*x17 + 17.7827941003892*x4*x14 + 15.5884572681199*x5*
      x14 + 4.61688063363795*x6*x11 + 18.2284698685036*x7*x14 + 
      13.8760966290575*x8*x14 + 2.5279828213557*x9*x17 + 12.2050524378911*x10*
      x17) - 15.1566541273553*x20 - 8.80731581347371*x23 - 3.4610247518095*x26
       - 50.3685901711814*x29 =E= 0;

e68.. x48**1.25*x33 - (166.989461022824*x1*x12 + 44.9545980014895*x2*x12 + 
      12.2050524378911*x3*x18 + 17.7827941003892*x4*x15 + 15.5884572681199*x5*
      x15 + 4.61688063363795*x6*x12 + 18.2284698685036*x7*x15 + 
      13.8760966290575*x8*x15 + 2.5279828213557*x9*x18 + 12.2050524378911*x10*
      x18) - 15.1566541273553*x21 - 8.80731581347371*x24 - 3.4610247518095*x27
       - 50.3685901711814*x30 =E= 0;

e69.. x59**1.25*x34 - (166.989461022824*x1*x13 + 44.9545980014895*x2*x13 + 
      12.2050524378911*x3*x19 + 17.7827941003892*x4*x16 + 15.5884572681199*x5*
      x16 + 4.61688063363795*x6*x13 + 18.2284698685036*x7*x16 + 
      13.8760966290575*x8*x16 + 2.5279828213557*x9*x19 + 12.2050524378911*x10*
      x19) - 15.1566541273553*x22 - 8.80731581347371*x25 - 3.4610247518095*x28
       - 50.3685901711814*x31 =E= 0;

e70.. -53.54*(0.444*exp((-1.26152) + 0.0006197*x36 + 0.22239*x41 + 0.02655*x285
       - 0.003376*x288) + 0.556*exp((-1.76845) - 0.096047*x35 + 0.000337*x36 + 
      0.222318*x41 + 0.011882*x285 + 0.011251*x288)) + x318 =E= 0;

e71.. -53.54*(0.444*exp((-1.26152) + 0.0006197*x47 + 0.22239*x52 + 0.02655*x286
       - 0.003376*x289) + 0.556*exp((-1.76845) - 0.096047*x46 + 0.000337*x47 + 
      0.222318*x52 + 0.011882*x286 + 0.011251*x289)) + x319 =E= 0;

e72.. -53.54*(0.444*exp((-1.26152) + 0.0006197*x58 + 0.22239*x63 + 0.02655*x287
       - 0.003376*x290) + 0.556*exp((-1.76845) - 0.096047*x57 + 0.000337*x58 + 
      0.222318*x63 + 0.011882*x287 + 0.011251*x290)) + x320 =E= 0;

e73.. -9.7*(0.444*exp(1.07807 + 0.0462131*x43 - 0.007166*x285 - 0.010226*x288)
       + 0.556*exp(1.36651 - 0.031352*x42 + 0.0462131*x43 - 0.007166*x285 - 
      0.010226*x288)) + x321 =E= 0;

e74.. -9.7*(0.444*exp(1.07807 + 0.0462131*x54 - 0.007166*x286 - 0.010226*x289)
       + 0.556*exp(1.36651 - 0.031352*x53 + 0.0462131*x54 - 0.007166*x286 - 
      0.010226*x289)) + x322 =E= 0;

e75.. -9.7*(0.444*exp(1.07807 + 0.0462131*x65 - 0.007166*x287 - 0.010226*x290)
       + 0.556*exp(1.36651 - 0.031352*x64 + 0.0462131*x65 - 0.007166*x287 - 
      0.010226*x290)) + x323 =E= 0;

e76.. -4.44*(0.444*exp(0.751747 + 0.0002631*x36 + 0.039786*x37 - 0.009594*x43
       + 0.31658*x44 + 0.24925*x45 - 0.005525*x285 - 0.012172*x288) + 0.556*
      exp(1.09751 + 0.0002627*x36 - 0.05598*x43 + 0.3164665*x44 + 0.2493259*x45
       - 0.005548*x285 - 0.012157*x288)) + x324 =E= 0;

e77.. -4.44*(0.444*exp(0.751747 + 0.0002631*x47 + 0.039786*x48 - 0.009594*x54
       + 0.31658*x55 + 0.24925*x56 - 0.005525*x286 - 0.012172*x289) + 0.556*
      exp(1.09751 + 0.0002627*x47 - 0.05598*x54 + 0.3164665*x55 + 0.2493259*x56
       - 0.005548*x286 - 0.012157*x289)) + x325 =E= 0;

e78.. -4.44*(0.444*exp(0.751747 + 0.0002631*x58 + 0.039786*x59 - 0.009594*x65
       + 0.31658*x66 + 0.24925*x67 - 0.005525*x287 - 0.012172*x290) + 0.556*
      exp(1.09751 + 0.0002627*x58 - 0.05598*x65 + 0.3164665*x66 + 0.2493259*x67
       - 0.005548*x287 - 0.012157*x290)) + x326 =E= 0;

e79.. -9.38*(0.444*exp(1.34704 + 0.0001552*x36 - 0.007253*x38 + 0.028235*x42 - 
      0.004005*x285 - 0.014866*x288) + 0.556*exp(0.694224 - 0.060771*x35 - 
      0.007311*x38 + 0.043696*x42 - 0.004005*x285 - 0.008052*x288)) + x327
       =E= 0;

e80.. -9.38*(0.444*exp(1.34704 + 0.0001552*x47 - 0.007253*x49 + 0.028235*x53 - 
      0.004005*x286 - 0.014866*x289) + 0.556*exp(0.694224 - 0.060771*x46 - 
      0.007311*x49 + 0.043696*x53 - 0.004005*x286 - 0.008052*x289)) + x328
       =E= 0;

e81.. -9.38*(0.444*exp(1.34704 + 0.0001552*x58 - 0.007253*x60 + 0.028235*x64 - 
      0.004005*x287 - 0.014866*x290) + 0.556*exp(0.694224 - 0.060771*x57 - 
      0.007311*x60 + 0.043696*x64 - 0.004005*x287 - 0.008052*x290)) + x329
       =E= 0;

e82.. -10*(1.75021*x41 - 0.603184*x37*x41 - 0.0402619*x43*x41 + 0.0738116*x37*
      x37*x41 + 0.0116427*x37*x43*x41 - 0.00255327*x37*x37*x37*x41 - 0.0010494*
      x37*x37*x43*x41) + x330 =E= 0;

e83.. -10*(1.75021*x52 - 0.603184*x48*x52 - 0.0402619*x54*x52 + 0.0738116*x48*
      x48*x52 + 0.0116427*x48*x54*x52 - 0.00255327*x48*x48*x48*x52 - 0.0010494*
      x48*x48*x54*x52) + x331 =E= 0;

e84.. -10*(1.75021*x63 - 0.603184*x59*x63 - 0.0402619*x65*x63 + 0.0738116*x59*
      x59*x63 + 0.0116427*x59*x65*x63 - 0.00255327*x59*x59*x59*x63 - 0.0010494*
      x59*x59*x65*x63) + x332 =E= 0;

e85..    0.003355*x297 + x318 + x321 + x324 + x327 + x330 =L= 95;

e86..    0.003355*x298 + x319 + x322 + x325 + x328 + x331 =L= 95;

e87..    0.003355*x299 + x320 + x323 + x326 + x329 + x332 =L= 95;

e88..  - x276 + x288 =E= 0;

e89..  - x277 + x289 =E= 0;

e90..  - x278 + x290 =E= 0;

e91..    40*b72 + x285 =L= 50;

e92..    40*b73 + x286 =L= 50;

e93..    40*b74 + x287 =L= 50;

e94..    10*b72 - x285 =L= 0;

e95..    10*b73 - x286 =L= 0;

e96..    10*b74 - x287 =L= 0;

e97..  - x40 - 50*b72 + x285 =L= 0;

e98..  - x51 - 50*b73 + x286 =L= 0;

e99..  - x62 - 50*b74 + x287 =L= 0;

e100..    x40 - 50*b72 - x285 =L= 0;

e101..    x51 - 50*b73 - x286 =L= 0;

e102..    x62 - 50*b74 - x287 =L= 0;

e103.. -1340*(0.738*exp((-0.497032) + 0.0006921*x36 - 6.63e-7*x36**2 - 0.000119
       *x279**2 + 0.0083632*x279 + 0.0003665*x282**2 - 0.002774*x282 + 
       0.0018571*x35 + 0.0090744*x37 + 0.000931*x38 + 0.000846*x276)*x312 + 
       0.262*exp(0.179906 + 0.007097*x279 - 7.995e-5*x279**2 + 0.0003665*x282**
       2 - 0.00276*x282 - 0.00913*x35 + 0.000252*x36 - 0.01397*x37 + 0.000931*
       x38 - 0.00401*x276)*x313) + x309 =E= 0;

e104.. -1340*(0.738*exp((-0.497032) + 0.0006921*x47 - 6.63e-7*x47**2 - 0.000119
       *x280**2 + 0.0083632*x280 + 0.0003665*x283**2 - 0.002774*x283 + 
       0.0018571*x46 + 0.0090744*x48 + 0.000931*x49 + 0.000846*x277)*x314 + 
       0.262*exp(0.179906 + 0.007097*x280 - 7.995e-5*x280**2 + 0.0003665*x283**
       2 - 0.00276*x283 - 0.00913*x46 + 0.000252*x47 - 0.01397*x48 + 0.000931*
       x49 - 0.00401*x277)*x315) + x310 =E= 0;

e105.. -1340*(0.738*exp((-0.497032) + 0.0006921*x58 - 6.63e-7*x58**2 - 0.000119
       *x281**2 + 0.0083632*x281 + 0.0003665*x284**2 - 0.002774*x284 + 
       0.0018571*x57 + 0.0090744*x59 + 0.000931*x60 + 0.000846*x278)*x316 + 
       0.262*exp(0.179906 + 0.007097*x281 - 7.995e-5*x281**2 + 0.0003665*x284**
       2 - 0.00276*x284 - 0.00913*x57 + 0.000252*x58 - 0.01397*x59 + 0.000931*
       x60 - 0.00401*x278)*x317) + x311 =E= 0;

e106..    x309 =L= 1400;

e107..    x310 =L= 1400;

e108..    x311 =L= 1400;

e109..  - x234 - x240 - x246 + x312 =E= 1;

e110..  - x235 - x241 - x247 + x313 =E= 1;

e111..  - x236 - x242 - x248 + x314 =E= 1;

e112..  - x237 - x243 - x249 + x315 =E= 1;

e113..  - x238 - x244 - x250 + x316 =E= 1;

e114..  - x239 - x245 - x251 + x317 =E= 1;

e115..    120*b96 + x273 =L= 130;

e116..    190*b97 + x274 =L= 200;

e117..    240*b98 + x275 =L= 250;

e118..  - 10*b96 + x273 =G= 0;

e119..  - 10*b97 + x274 =G= 0;

e120..  - 10*b98 + x275 =G= 0;

e121..  - x36 - 130*b96 + 130*b99 + x273 =L= 130;

e122..  - x47 - 200*b97 + 200*b100 + x274 =L= 200;

e123..  - x58 - 250*b98 + 250*b101 + x275 =L= 250;

e124..  - x36 + 130*b96 - 130*b99 + x273 =G= -130;

e125..  - x47 + 200*b97 - 200*b100 + x274 =G= -200;

e126..  - x58 + 250*b98 - 250*b101 + x275 =G= -250;

e127..    320*b99 + x273 =L= 450;

e128..    250*b100 + x274 =L= 450;

e129..    200*b101 + x275 =L= 450;

e130..    450*b99 + x273 =G= 450;

e131..    450*b100 + x274 =G= 450;

e132..    450*b101 + x275 =G= 450;

e133..  - 5*b69 + x276 =L= 95;

e134..  - 5*b70 + x277 =L= 95;

e135..  - 5*b71 + x278 =L= 95;

e136..  - 25*b69 - x276 =L= -95;

e137..  - 25*b70 - x277 =L= -95;

e138..  - 25*b71 - x278 =L= -95;

e139..  - x39 + 30*b69 + x276 =L= 30;

e140..  - x50 + 30*b70 + x277 =L= 30;

e141..  - x61 + 30*b71 + x278 =L= 30;

e142..    x39 + 30*b69 - x276 =L= 30;

e143..    x50 + 30*b70 - x277 =L= 30;

e144..    x61 + 30*b71 - x278 =L= 30;

e145..    32*b102 + x279 =L= 50;

e146..    32*b103 + x280 =L= 50;

e147..    32*b104 + x281 =L= 50;

e148..  - 18*b102 + x279 =G= 0;

e149..  - 18*b103 + x280 =G= 0;

e150..  - 18*b104 + x281 =G= 0;

e151..  - x40 - 50*b102 + 50*b105 + x279 =L= 50;

e152..  - x51 - 50*b103 + 50*b106 + x280 =L= 50;

e153..  - x62 - 50*b104 + 50*b107 + x281 =L= 50;

e154..  - x40 + 50*b102 - 50*b105 + x279 =G= -50;

e155..  - x51 + 50*b103 - 50*b106 + x280 =G= -50;

e156..  - x62 + 50*b104 - 50*b107 + x281 =G= -50;

e157..  - 13.2*b105 + x279 =L= 36.8;

e158..  - 13.2*b106 + x280 =L= 36.8;

e159..  - 13.2*b107 + x281 =L= 36.8;

e160..    36.8*b105 + x279 =G= 36.8;

e161..    36.8*b106 + x280 =G= 36.8;

e162..    36.8*b107 + x281 =G= 36.8;

e163..    21.23*b108 + x282 =L= 25;

e164..    21.23*b109 + x283 =L= 25;

e165..    21.23*b110 + x284 =L= 25;

e166..  - 3.77*b108 + x282 =G= 0;

e167..  - 3.77*b109 + x283 =G= 0;

e168..  - 3.77*b110 + x284 =G= 0;

e169..  - x42 - 25*b108 + 25*b111 + x282 =L= 25;

e170..  - x53 - 25*b109 + 25*b112 + x283 =L= 25;

e171..  - x64 - 25*b110 + 25*b113 + x284 =L= 25;

e172..  - x42 + 25*b108 - 25*b111 + x282 =G= -25;

e173..  - x53 + 25*b109 - 25*b112 + x283 =G= -25;

e174..  - x64 + 25*b110 - 25*b113 + x284 =G= -25;

e175..  - 6*b111 + x282 =L= 19;

e176..  - 6*b112 + x283 =L= 19;

e177..  - 6*b113 + x284 =L= 19;

e178..    19*b111 + x282 =G= 19;

e179..    19*b112 + x283 =G= 19;

e180..    19*b113 + x284 =G= 19;

e181..    0.1243908*b96 + x138 + x144 =L= 0.1243908;

e182..    0.14364*b96 + x139 + x145 =L= 0.14364;

e183..    0.1719096*b97 + x140 + x146 =L= 0.1719096;

e184..    0.16128*b97 + x141 + x147 =L= 0.16128;

e185..    0.2058516*b98 + x142 + x148 =L= 0.2058516;

e186..    0.17388*b98 + x143 + x149 =L= 0.17388;

e187..  - 0.1243908*b96 + 0.1243908*b99 + x126 + x132 =L= 0.1243908;

e188..  - 0.14364*b96 + 0.14364*b99 + x127 + x133 =L= 0.14364;

e189..  - 0.1719096*b97 + 0.1719096*b100 + x128 + x134 =L= 0.1719096;

e190..  - 0.16128*b97 + 0.16128*b100 + x129 + x135 =L= 0.16128;

e191..  - 0.2058516*b98 + 0.2058516*b101 + x130 + x136 =L= 0.2058516;

e192..  - 0.17388*b98 + 0.17388*b101 + x131 + x137 =L= 0.17388;

e193..  - 0.1243908*b99 + x114 + x120 =L= 0;

e194..  - 0.14364*b99 + x115 + x121 =L= 0;

e195..  - 0.1719096*b100 + x116 + x122 =L= 0;

e196..  - 0.16128*b100 + x117 + x123 =L= 0;

e197..  - 0.2058516*b101 + x118 + x124 =L= 0;

e198..  - 0.17388*b101 + x119 + x125 =L= 0;

e199..  - 0.00067884*x36 + x138 - x144 + x234 =E= -0.0067884;

e200..  - 0.000252*x36 + x139 - x145 + x235 =E= -0.00252;

e201..  - 0.00067884*x47 + x140 - x146 + x236 =E= -0.0067884;

e202..  - 0.000252*x47 + x141 - x147 + x237 =E= -0.00252;

e203..  - 0.00067884*x58 + x142 - x148 + x238 =E= -0.0067884;

e204..  - 0.000252*x58 + x143 - x149 + x239 =E= -0.00252;

e205..    x126 - x132 + x234 =E= 0;

e206..    x127 - x133 + x235 =E= 0;

e207..    x128 - x134 + x236 =E= 0;

e208..    x129 - x135 + x237 =E= 0;

e209..    x130 - x136 + x238 =E= 0;

e210..    x131 - x137 + x239 =E= 0;

e211..  - 9.53999999999999E-5*x36 + x114 - x120 + x234 =E= -0.04293;

e212..  - 0.000252*x36 + x115 - x121 + x235 =E= -0.1134;

e213..  - 9.53999999999999E-5*x47 + x116 - x122 + x236 =E= -0.04293;

e214..  - 0.000252*x47 + x117 - x123 + x237 =E= -0.1134;

e215..  - 9.53999999999999E-5*x58 + x118 - x124 + x238 =E= -0.04293;

e216..  - 0.000252*x58 + x119 - x125 + x239 =E= -0.1134;

e217..    0.20396*b72 + x174 + x180 =L= 0.20396;

e218..    0.21094*b72 + x175 + x181 =L= 0.21094;

e219..    0.20396*b73 + x176 + x182 =L= 0.20396;

e220..    0.21094*b73 + x177 + x183 =L= 0.21094;

e221..    0.20396*b74 + x178 + x184 =L= 0.20396;

e222..    0.21094*b74 + x179 + x185 =L= 0.21094;

e223..  - 0.20396*b72 + 0.20396*b102 + x162 + x168 =L= 0.20396;

e224..  - 0.21094*b72 + 0.21094*b102 + x163 + x169 =L= 0.21094;

e225..  - 0.20396*b73 + 0.20396*b103 + x164 + x170 =L= 0.20396;

e226..  - 0.21094*b73 + 0.21094*b103 + x165 + x171 =L= 0.21094;

e227..  - 0.20396*b74 + 0.20396*b104 + x166 + x172 =L= 0.20396;

e228..  - 0.21094*b74 + 0.21094*b104 + x167 + x173 =L= 0.21094;

e229..  - 0.20396*b102 + x150 + x156 =L= 0;

e230..  - 0.21094*b102 + x151 + x157 =L= 0;

e231..  - 0.20396*b103 + x152 + x158 =L= 0;

e232..  - 0.21094*b103 + x153 + x159 =L= 0;

e233..  - 0.20396*b104 + x154 + x160 =L= 0;

e234..  - 0.21094*b104 + x155 + x161 =L= 0;

e235..    x174 - x180 + x240 =E= -0.0326336;

e236..    x175 - x181 + x241 =E= -0.0337504;

e237..    x176 - x182 + x242 =E= -0.0326336;

e238..    x177 - x183 + x243 =E= -0.0337504;

e239..    x178 - x184 + x244 =E= -0.0326336;

e240..    x179 - x185 + x245 =E= -0.0337504;

e241..  - 0.0040792*x40 + x162 - x168 + x240 =E= -0.0734256;

e242..  - 0.0042188*x40 + x163 - x169 + x241 =E= -0.0759384;

e243..  - 0.0040792*x51 + x164 - x170 + x242 =E= -0.0734256;

e244..  - 0.0042188*x51 + x165 - x171 + x243 =E= -0.0759384;

e245..  - 0.0040792*x62 + x166 - x172 + x244 =E= -0.0734256;

e246..  - 0.0042188*x62 + x167 - x173 + x245 =E= -0.0759384;

e247..    x150 - x156 + x240 =E= 0;

e248..    x151 - x157 + x241 =E= 0;

e249..    x152 - x158 + x242 =E= 0;

e250..    x153 - x159 + x243 =E= 0;

e251..    x154 - x160 + x244 =E= 0;

e252..    x155 - x161 + x245 =E= 0;

e253..    0.278825*b111 + x198 + x204 =L= 0.278825;

e254..    0.279175*b111 + x199 + x205 =L= 0.279175;

e255..    0.278825*b112 + x200 + x206 =L= 0.278825;

e256..    0.279175*b112 + x201 + x207 =L= 0.279175;

e257..    0.278825*b113 + x202 + x208 =L= 0.278825;

e258..    0.279175*b113 + x203 + x209 =L= 0.279175;

e259..  - 0.278825*b111 + x186 + x192 =L= 0;

e260..  - 0.279175*b111 + x187 + x193 =L= 0;

e261..  - 0.278825*b112 + x188 + x194 =L= 0;

e262..  - 0.279175*b112 + x189 + x195 =L= 0;

e263..  - 0.278825*b113 + x190 + x196 =L= 0;

e264..  - 0.279175*b113 + x191 + x197 =L= 0;

e265..    x198 - x204 + x246 =E= 0;

e266..    x199 - x205 + x247 =E= 0;

e267..    x200 - x206 + x248 =E= 0;

e268..    x201 - x207 + x249 =E= 0;

e269..    x202 - x208 + x250 =E= 0;

e270..    x203 - x209 + x251 =E= 0;

e271..  - 0.011153*x42 + x186 - x192 + x246 =E= -0.211907;

e272..  - 0.011167*x42 + x187 - x193 + x247 =E= -0.212173;

e273..  - 0.011153*x53 + x188 - x194 + x248 =E= -0.211907;

e274..  - 0.011167*x53 + x189 - x195 + x249 =E= -0.212173;

e275..  - 0.011153*x64 + x190 - x196 + x250 =E= -0.211907;

e276..  - 0.011167*x64 + x191 - x197 + x251 =E= -0.212173;

e277.. -907*(0.444*exp(2.77929 + 0.0001072*x261**2 - 0.01447*x261 + 0.0004087*
       x270**2 - 0.068624*x270 - 0.0003481*x264*x270 + 0.0323712*x264 - 
       0.003641*x35 + 0.0005219*x36 + 0.0289749*x37 - 0.002858*x42)*x303 + 
       0.556*exp(2.26558 + 0.000106*x261**2 - 0.013504*x261 + 0.000408*x270**2
        - 0.062327*x270 - 0.000287*x264*x270 + 0.0282042*x264 - 0.003626*x35 - 
       5.4e-5*x36 + 0.043295*x37 - 0.002858*x42)*x304) + x297 =E= 0;

e278.. -907*(0.444*exp(2.77929 + 0.0001072*x262**2 - 0.01447*x262 + 0.0004087*
       x271**2 - 0.068624*x271 - 0.0003481*x265*x271 + 0.0323712*x265 - 
       0.003641*x46 + 0.0005219*x47 + 0.0289749*x48 - 0.002858*x53)*x305 + 
       0.556*exp(2.26558 + 0.000106*x262**2 - 0.013504*x262 + 0.000408*x271**2
        - 0.062327*x271 - 0.000287*x265*x271 + 0.0282042*x265 - 0.003626*x46 - 
       5.4e-5*x47 + 0.043295*x48 - 0.002858*x53)*x306) + x298 =E= 0;

e279.. -907*(0.444*exp(2.77929 + 0.0001072*x263**2 - 0.01447*x263 + 0.0004087*
       x272**2 - 0.068624*x272 - 0.0003481*x266*x272 + 0.0323712*x266 - 
       0.003641*x57 + 0.0005219*x58 + 0.0289749*x59 - 0.002858*x64)*x307 + 
       0.556*exp(2.26558 + 0.000106*x263**2 - 0.013504*x263 + 0.000408*x272**2
        - 0.062327*x272 - 0.000287*x266*x272 + 0.0282042*x266 - 0.003626*x57 - 
       5.4e-5*x58 + 0.043295*x59 - 0.002858*x64)*x308) + x299 =E= 0;

e280.. -1000*(0.0318*x258**2 - 0.3534*x258) + x300 =E= 1226.9;

e281.. -1000*(0.0318*x259**2 - 0.3534*x259) + x301 =E= 1226.9;

e282.. -1000*(0.0318*x260**2 - 0.3534*x260) + x302 =E= 1226.9;

e283..    x297 + x300 =L= 1700;

e284..    x298 + x301 =L= 1700;

e285..    x299 + x302 =L= 1700;

e286.. -((0.0323712 - 0.0003481*x270)*x291 + (-0.068624 - 0.0003481*x264 + 
       0.0008174*x270)*x294) - x252 + x303 =E= 1;

e287.. -((0.0282042 - 0.000287*x270)*x291 + (-0.062327 - 0.000287*x264 + 
       0.000816*x270)*x294) - x253 + x304 =E= 1;

e288.. -((0.0323712 - 0.0003481*x271)*x292 + (-0.068624 - 0.0003481*x265 + 
       0.0008174*x271)*x295) - x254 + x305 =E= 1;

e289.. -((0.0282042 - 0.000287*x271)*x292 + (-0.062327 - 0.000287*x265 + 
       0.000816*x271)*x295) - x255 + x306 =E= 1;

e290.. -((0.0323712 - 0.0003481*x272)*x293 + (-0.068624 - 0.0003481*x266 + 
       0.0008174*x272)*x296) - x256 + x307 =E= 1;

e291.. -((0.0282042 - 0.000287*x272)*x293 + (-0.062327 - 0.000287*x266 + 
       0.000816*x272)*x296) - x257 + x308 =E= 1;

e292..    28*b81 + x270 =L= 100;

e293..    28*b82 + x271 =L= 100;

e294..    28*b83 + x272 =L= 100;

e295..  - 2*b81 + x270 =G= 70;

e296..  - 2*b82 + x271 =G= 70;

e297..  - 2*b83 + x272 =G= 70;

e298..  - x39 - 30*b81 + 30*b93 + x270 =L= 30;

e299..  - x50 - 30*b82 + 30*b94 + x271 =L= 30;

e300..  - x61 - 30*b83 + 30*b95 + x272 =L= 30;

e301..  - x39 + 30*b81 - 30*b93 + x270 =G= -30;

e302..  - x50 + 30*b82 - 30*b94 + x271 =G= -30;

e303..  - x61 + 30*b83 - 30*b95 + x272 =G= -30;

e304..  - 16.4*b93 - x267 + x270 =L= 0;

e305..  - 16.4*b94 - x268 + x271 =L= 0;

e306..  - 16.4*b95 - x269 + x272 =L= 0;

e307..    29*b93 - x267 + x270 =G= 0;

e308..    29*b94 - x268 + x271 =G= 0;

e309..    29*b95 - x269 + x272 =G= 0;

e310..  - x39 + 3*b81 + x294 =L= -69;

e311..  - x50 + 3*b82 + x295 =L= -69;

e312..  - x61 + 3*b83 + x296 =L= -69;

e313..  - x39 - 30*b81 + x294 =G= -102;

e314..  - x50 - 30*b82 + x295 =G= -102;

e315..  - x61 - 30*b83 + x296 =G= -102;

e316..    2*b81 - 2*b93 + x294 =G= -2;

e317..    2*b82 - 2*b94 + x295 =G= -2;

e318..    2*b83 - 2*b95 + x296 =G= -2;

e319..  - b81 + b93 + x294 =L= 1;

e320..  - b82 + b94 + x295 =L= 1;

e321..  - b83 + b95 + x296 =L= 1;

e322..    2*b81 + 2*b90 + x294 =G= 0;

e323..    2*b82 + 2*b91 + x295 =G= 0;

e324..    2*b83 + 2*b92 + x296 =G= 0;

e325..  - b81 - b90 + x294 =L= 0;

e326..  - b82 - b91 + x295 =L= 0;

e327..  - b83 - b92 + x296 =L= 0;

e328..  - x39 - 3*b90 + 3*b93 + x294 =G= -97;

e329..  - x50 - 3*b91 + 3*b94 + x295 =G= -97;

e330..  - x61 - 3*b92 + 3*b95 + x296 =G= -97;

e331..  - x39 + 23*b90 - 23*b93 + x294 =L= -71;

e332..  - x50 + 23*b91 - 23*b94 + x295 =L= -71;

e333..  - x61 + 23*b92 - 23*b95 + x296 =L= -71;

e334..    15.4*b72 - 15.4*b90 + x267 =L= 99;

e335..    15.4*b73 - 15.4*b91 + x268 =L= 99;

e336..    15.4*b74 - 15.4*b92 + x269 =L= 99;

e337..  - 3.85*b72 + 3.85*b90 + x267 =G= 79.75;

e338..  - 3.85*b73 + 3.85*b91 + x268 =G= 79.75;

e339..  - 3.85*b74 + 3.85*b92 + x269 =G= 79.75;

e340..  - 0.385*x40 - 19.25*b72 - 19.25*b90 + x267 =L= 79.75;

e341..  - 0.385*x51 - 19.25*b73 - 19.25*b91 + x268 =L= 79.75;

e342..  - 0.385*x62 - 19.25*b74 - 19.25*b92 + x269 =L= 79.75;

e343..  - 0.385*x40 + 19.25*b72 + 19.25*b90 + x267 =G= 79.75;

e344..  - 0.385*x51 + 19.25*b73 + 19.25*b91 + x268 =G= 79.75;

e345..  - 0.385*x62 + 19.25*b74 + 19.25*b92 + x269 =G= 79.75;

e346..    5*b90 + x267 =L= 99;

e347..    5*b91 + x268 =L= 99;

e348..    5*b92 + x269 =L= 99;

e349..  - 14.25*b90 + x267 =G= 79.75;

e350..  - 14.25*b91 + x268 =G= 79.75;

e351..  - 14.25*b92 + x269 =G= 79.75;

e352..    x39 + 29*b93 - x267 =G= 0;

e353..    x50 + 29*b94 - x268 =G= 0;

e354..    x61 + 29*b95 - x269 =G= 0;

e355..    x39 + 16.4*b93 - x267 =L= 16.4;

e356..    x50 + 16.4*b94 - x268 =L= 16.4;

e357..    x61 + 16.4*b95 - x269 =L= 16.4;

e358..    32.52*b75 + x261 =L= 65.52;

e359..    32.52*b76 + x262 =L= 65.52;

e360..    32.52*b77 + x263 =L= 65.52;

e361..    x261 =G= 33;

e362..    x262 =G= 33;

e363..    x263 =G= 33;

e364..  - x38 - 35.52*b75 + 35.52*b78 + x261 =L= 35.52;

e365..  - x49 - 35.52*b76 + 35.52*b79 + x262 =L= 35.52;

e366..  - x60 - 35.52*b77 + 35.52*b80 + x263 =L= 35.52;

e367..  - x38 + 37*b75 - 37*b78 + x261 =G= -37;

e368..  - x49 + 37*b76 - 37*b79 + x262 =G= -37;

e369..  - x60 + 37*b77 - 37*b80 + x263 =G= -37;

e370..    x261 =L= 65.52;

e371..    x262 =L= 65.52;

e372..    x263 =L= 65.52;

e373..    32.52*b78 + x261 =G= 65.52;

e374..    32.52*b79 + x262 =G= 65.52;

e375..    32.52*b80 + x263 =G= 65.52;

e376..    0.295792*b75 + x222 + x228 =L= 0.295792;

e377..    0.26032*b75 + x223 + x229 =L= 0.26032;

e378..    0.295792*b76 + x224 + x230 =L= 0.295792;

e379..    0.26032*b76 + x225 + x231 =L= 0.26032;

e380..    0.295792*b77 + x226 + x232 =L= 0.295792;

e381..    0.26032*b77 + x227 + x233 =L= 0.26032;

e382..  - 0.295792*b75 + x210 + x216 =L= 0;

e383..  - 0.26032*b75 + x211 + x217 =L= 0;

e384..  - 0.295792*b76 + x212 + x218 =L= 0;

e385..  - 0.26032*b76 + x213 + x219 =L= 0;

e386..  - 0.295792*b77 + x214 + x220 =L= 0;

e387..  - 0.26032*b77 + x215 + x221 =L= 0;

e388..    0.0073948*x38 + x222 - x228 + x252 =E= 0.2440284;

e389..    0.006508*x38 + x223 - x229 + x253 =E= 0.214764;

e390..    0.0073948*x49 + x224 - x230 + x254 =E= 0.2440284;

e391..    0.006508*x49 + x225 - x231 + x255 =E= 0.214764;

e392..    0.0073948*x60 + x226 - x232 + x256 =E= 0.2440284;

e393..    0.006508*x60 + x227 - x233 + x257 =E= 0.214764;

e394..    x210 - x216 + x252 =E= 0;

e395..    x211 - x217 + x253 =E= 0;

e396..    x212 - x218 + x254 =E= 0;

e397..    x213 - x219 + x255 =E= 0;

e398..    x214 - x220 + x256 =E= 0;

e399..    x215 - x221 + x257 =E= 0;

e400..    12*b72 + x291 =L= 4;

e401..    12*b73 + x292 =L= 4;

e402..    12*b74 + x293 =L= 4;

e403..    x291 =G= -8;

e404..    x292 =G= -8;

e405..    x293 =G= -8;

e406..  - x40 - 22*b72 + 22*b84 + x291 =L= 4;

e407..  - x51 - 22*b73 + 22*b85 + x292 =L= 4;

e408..  - x62 - 22*b74 + 22*b86 + x293 =L= 4;

e409..  - x40 + 40*b72 - 40*b84 + x291 =G= -58;

e410..  - x51 + 40*b73 - 40*b85 + x292 =G= -58;

e411..  - x62 + 40*b74 - 40*b86 + x293 =G= -58;

e412..  - 4*b84 + 4*b87 + x291 =L= 4;

e413..  - 4*b85 + 4*b88 + x292 =L= 4;

e414..  - 4*b86 + 4*b89 + x293 =L= 4;

e415..    8*b84 - 8*b87 + x291 =G= -8;

e416..    8*b85 - 8*b88 + x292 =G= -8;

e417..    8*b86 - 8*b89 + x293 =G= -8;

e418..  - x40 - 50*b87 + x291 =L= -46;

e419..  - x51 - 50*b88 + x292 =L= -46;

e420..  - x62 - 50*b89 + x293 =L= -46;

e421..  - x40 + 12*b87 + x291 =G= -46;

e422..  - x51 + 12*b88 + x292 =G= -46;

e423..  - x62 + 12*b89 + x293 =G= -46;

e424..    32*b84 + x264 =L= 50;

e425..    32*b85 + x265 =L= 50;

e426..    32*b86 + x266 =L= 50;

e427..  - 18*b84 + x264 =G= 0;

e428..  - 18*b85 + x265 =G= 0;

e429..  - 18*b86 + x266 =G= 0;

e430..  - x40 - 50*b84 + 50*b87 + x264 =L= 50;

e431..  - x51 - 50*b85 + 50*b88 + x265 =L= 50;

e432..  - x62 - 50*b86 + 50*b89 + x266 =L= 50;

e433..  - x40 + 50*b84 - 50*b87 + x264 =G= -50;

e434..  - x51 + 50*b85 - 50*b88 + x265 =G= -50;

e435..  - x62 + 50*b86 - 50*b89 + x266 =G= -50;

e436..  - 4*b87 + x264 =L= 46;

e437..  - 4*b88 + x265 =L= 46;

e438..  - 4*b89 + x266 =L= 46;

e439..    46*b87 + x264 =G= 46;

e440..    46*b88 + x265 =G= 46;

e441..    46*b89 + x266 =G= 46;

e442..    x35 - x43 - x44 - x45 =G= 0;

e443..    x46 - x54 - x55 - x56 =G= 0;

e444..    x57 - x65 - x66 - x67 =G= 0;

e445..  - x39 - 25*b69 =L= -95;

e446..  - x50 - 25*b70 =L= -95;

e447..  - x61 - 25*b71 =L= -95;

e448..    x39 + 5*b69 =L= 100;

e449..    x50 + 5*b70 =L= 100;

e450..    x61 + 5*b71 =L= 100;

e451..  - x40 - 10*b72 =L= -10;

e452..  - x51 - 10*b73 =L= -10;

e453..  - x62 - 10*b74 =L= -10;

e454..    x40 + 40*b72 =L= 50;

e455..    x51 + 40*b73 =L= 50;

e456..    x62 + 40*b74 =L= 50;

e457..  - x38 - 3*b75 =L= -33;

e458..  - x49 - 3*b76 =L= -33;

e459..  - x60 - 3*b77 =L= -33;

e460..    x38 + 37*b75 =L= 70;

e461..    x49 + 37*b76 =L= 70;

e462..    x60 + 37*b77 =L= 70;

e463..  - x38 - 35.52*b78 =L= -65.52;

e464..  - x49 - 35.52*b79 =L= -65.52;

e465..  - x60 - 35.52*b80 =L= -65.52;

e466..    x38 + 4.48*b78 =L= 70;

e467..    x49 + 4.48*b79 =L= 70;

e468..    x60 + 4.48*b80 =L= 70;

e469..  - x39 - 2*b81 =L= -72;

e470..  - x50 - 2*b82 =L= -72;

e471..  - x61 - 2*b83 =L= -72;

e472..    x39 + 28*b81 =L= 100;

e473..    x50 + 28*b82 =L= 100;

e474..    x61 + 28*b83 =L= 100;

e475..  - x40 - 18*b84 =L= -18;

e476..  - x51 - 18*b85 =L= -18;

e477..  - x62 - 18*b86 =L= -18;

e478..    x40 + 32*b84 =L= 50;

e479..    x51 + 32*b85 =L= 50;

e480..    x62 + 32*b86 =L= 50;

e481..  - x40 - 46*b87 =L= -46;

e482..  - x51 - 46*b88 =L= -46;

e483..  - x62 - 46*b89 =L= -46;

e484..    x40 + 4*b87 =L= 50;

e485..    x51 + 4*b88 =L= 50;

e486..    x62 + 4*b89 =L= 50;

e487..    0.385*x40 - 5*b90 =L= 14.25;

e488..    0.385*x51 - 5*b91 =L= 14.25;

e489..    0.385*x62 - 5*b92 =L= 14.25;

e490..    0.385*x40 - 14.25*b90 =G= 0;

e491..    0.385*x51 - 14.25*b91 =G= 0;

e492..    0.385*x62 - 14.25*b92 =G= 0;

e493..  - x36 - 10*b96 =L= -10;

e494..  - x47 - 10*b97 =L= -10;

e495..  - x58 - 10*b98 =L= -10;

e496..    x36 + 120*b96 =L= 130;

e497..    x47 + 190*b97 =L= 200;

e498..    x58 + 240*b98 =L= 250;

e499..  - x36 - 450*b99 =L= -450;

e500..  - x47 - 450*b100 =L= -450;

e501..  - x58 - 450*b101 =L= -450;

e502..    x36 - 320*b99 =L= 130;

e503..    x47 - 250*b100 =L= 200;

e504..    x58 - 200*b101 =L= 250;

e505..  - b84 + b102 =E= 0;

e506..  - b85 + b103 =E= 0;

e507..  - b86 + b104 =E= 0;

e508..  - x40 - 36.8*b105 =L= -36.8;

e509..  - x51 - 36.8*b106 =L= -36.8;

e510..  - x62 - 36.8*b107 =L= -36.8;

e511..    x40 + 13.2*b105 =L= 50;

e512..    x51 + 13.2*b106 =L= 50;

e513..    x62 + 13.2*b107 =L= 50;

e514..  - x42 - 3.77*b108 =L= -3.77;

e515..  - x53 - 3.77*b109 =L= -3.77;

e516..  - x64 - 3.77*b110 =L= -3.77;

e517..    x42 + 21.23*b108 =L= 25;

e518..    x53 + 21.23*b109 =L= 25;

e519..    x64 + 21.23*b110 =L= 25;

e520..  - x42 - 19*b111 =L= -19;

e521..  - x53 - 19*b112 =L= -19;

e522..  - x64 - 19*b113 =L= -19;

e523..    x42 + 6*b111 =L= 25;

e524..    x53 + 6*b112 =L= 25;

e525..    x64 + 6*b113 =L= 25;

* set non-default bounds
x1.up = 1;
x2.up = 1;
x3.up = 1;
x4.up = 1;
x5.up = 1;
x6.up = 1;
x7.up = 1;
x8.up = 1;
x9.up = 1;
x10.up = 1;
x11.up = 275;
x12.up = 275;
x13.up = 275;
x14.up = 525;
x15.up = 525;
x16.up = 400;
x17.up = 375;
x18.up = 375;
x19.up = 375;
x20.up = 5;
x21.up = 5;
x22.up = 5;
x23.up = 10;
x24.up = 10;
x25.up = 10;
x26.up = 10;
x27.up = 10;
x28.up = 10;
x29.up = 100;
x30.up = 100;
x31.up = 100;
x32.lo = 100; x32.up = 700;
x33.up = 800;
x34.lo = 50; x34.up = 400;
x35.up = 3.7;
x36.up = 130;
x37.lo = 6.4; x37.up = 10;
x38.lo = 30; x38.up = 70;
x39.lo = 70; x39.up = 100;
x40.up = 50;
x41.up = 2;
x42.up = 25;
x43.up = 3.7;
x44.up = 3.7;
x45.lo = 2; x45.up = 3.7;
x46.up = 3.7;
x47.up = 200;
x48.lo = 6.4; x48.up = 10;
x49.lo = 30; x49.up = 70;
x50.lo = 70; x50.up = 100;
x51.up = 50;
x52.up = 2;
x53.up = 25;
x54.up = 3.7;
x55.up = 3.7;
x56.lo = 1; x56.up = 3.7;
x57.up = 3.7;
x58.up = 250;
x59.lo = 6.4; x59.up = 10;
x60.lo = 30; x60.up = 70;
x61.lo = 70; x61.up = 100;
x62.up = 50;
x63.up = 2;
x64.up = 25;
x65.up = 3.7;
x66.up = 3.7;
x67.up = 3.7;
x114.up = 0.1243908;
x115.up = 0.14364;
x116.up = 0.1719096;
x117.up = 0.16128;
x118.up = 0.2058516;
x119.up = 0.17388;
x120.up = 0.1243908;
x121.up = 0.14364;
x122.up = 0.1719096;
x123.up = 0.16128;
x124.up = 0.2058516;
x125.up = 0.17388;
x126.up = 0.1243908;
x127.up = 0.14364;
x128.up = 0.1719096;
x129.up = 0.16128;
x130.up = 0.2058516;
x131.up = 0.17388;
x132.up = 0.1243908;
x133.up = 0.14364;
x134.up = 0.1719096;
x135.up = 0.16128;
x136.up = 0.2058516;
x137.up = 0.17388;
x138.up = 0.1243908;
x139.up = 0.14364;
x140.up = 0.1719096;
x141.up = 0.16128;
x142.up = 0.2058516;
x143.up = 0.17388;
x144.up = 0.1243908;
x145.up = 0.14364;
x146.up = 0.1719096;
x147.up = 0.16128;
x148.up = 0.2058516;
x149.up = 0.17388;
x150.up = 0.20396;
x151.up = 0.21094;
x152.up = 0.20396;
x153.up = 0.21094;
x154.up = 0.20396;
x155.up = 0.21094;
x156.up = 0.20396;
x157.up = 0.21094;
x158.up = 0.20396;
x159.up = 0.21094;
x160.up = 0.20396;
x161.up = 0.21094;
x162.up = 0.20396;
x163.up = 0.21094;
x164.up = 0.20396;
x165.up = 0.21094;
x166.up = 0.20396;
x167.up = 0.21094;
x168.up = 0.20396;
x169.up = 0.21094;
x170.up = 0.20396;
x171.up = 0.21094;
x172.up = 0.20396;
x173.up = 0.21094;
x174.up = 0.20396;
x175.up = 0.21094;
x176.up = 0.20396;
x177.up = 0.21094;
x178.up = 0.20396;
x179.up = 0.21094;
x180.up = 0.20396;
x181.up = 0.21094;
x182.up = 0.20396;
x183.up = 0.21094;
x184.up = 0.20396;
x185.up = 0.21094;
x186.up = 0.278825;
x187.up = 0.279175;
x188.up = 0.278825;
x189.up = 0.279175;
x190.up = 0.278825;
x191.up = 0.279175;
x192.up = 0.278825;
x193.up = 0.279175;
x194.up = 0.278825;
x195.up = 0.279175;
x196.up = 0.278825;
x197.up = 0.279175;
x198.up = 0.278825;
x199.up = 0.279175;
x200.up = 0.278825;
x201.up = 0.279175;
x202.up = 0.278825;
x203.up = 0.279175;
x204.up = 0.278825;
x205.up = 0.279175;
x206.up = 0.278825;
x207.up = 0.279175;
x208.up = 0.278825;
x209.up = 0.279175;
x210.up = 0.295792;
x211.up = 0.26032;
x212.up = 0.295792;
x213.up = 0.26032;
x214.up = 0.295792;
x215.up = 0.26032;
x216.up = 0.295792;
x217.up = 0.26032;
x218.up = 0.295792;
x219.up = 0.26032;
x220.up = 0.295792;
x221.up = 0.26032;
x222.up = 0.295792;
x223.up = 0.26032;
x224.up = 0.295792;
x225.up = 0.26032;
x226.up = 0.295792;
x227.up = 0.26032;
x228.up = 0.295792;
x229.up = 0.26032;
x230.up = 0.295792;
x231.up = 0.26032;
x232.up = 0.295792;
x233.up = 0.26032;
x234.lo = -0.04293; x234.up = 0.0814608;
x235.lo = -0.1134; x235.up = 0.03024;
x236.lo = -0.04293; x236.up = 0.1289796;
x237.lo = -0.1134; x237.up = 0.04788;
x238.lo = -0.04293; x238.up = 0.1629216;
x239.lo = -0.1134; x239.up = 0.06048;
x240.lo = -0.0734256; x240.up = 0.1305344;
x241.lo = -0.0759384; x241.up = 0.1350016;
x242.lo = -0.0734256; x242.up = 0.1305344;
x243.lo = -0.0759384; x243.up = 0.1350016;
x244.lo = -0.0734256; x244.up = 0.1305344;
x245.lo = -0.0759384; x245.up = 0.1350016;
x246.lo = -0.211907; x246.up = 0.066918;
x247.lo = -0.212173; x247.up = 0.067002;
x248.lo = -0.211907; x248.up = 0.066918;
x249.lo = -0.212173; x249.up = 0.067002;
x250.lo = -0.211907; x250.up = 0.066918;
x251.lo = -0.212173; x251.up = 0.067002;
x252.lo = -0.2736076; x252.up = 0.0221844;
x253.lo = -0.240796; x253.up = 0.019524;
x254.lo = -0.2736076; x254.up = 0.0221844;
x255.lo = -0.240796; x255.up = 0.019524;
x256.lo = -0.2736076; x256.up = 0.0221844;
x257.lo = -0.240796; x257.up = 0.019524;
x258.lo = 6.4; x258.up = 10;
x259.lo = 6.4; x259.up = 10;
x260.lo = 6.4; x260.up = 10;
x261.lo = 33; x261.up = 65.52;
x262.lo = 33; x262.up = 65.52;
x263.lo = 33; x263.up = 65.52;
x264.lo = 18; x264.up = 46;
x265.lo = 18; x265.up = 46;
x266.lo = 18; x266.up = 46;
x267.lo = 83.6; x267.up = 99;
x268.lo = 83.6; x268.up = 99;
x269.lo = 83.6; x269.up = 99;
x270.lo = 72; x270.up = 94;
x271.lo = 72; x271.up = 94;
x272.lo = 72; x272.up = 94;
x273.lo = 10; x273.up = 130;
x274.lo = 10; x274.up = 200;
x275.lo = 10; x275.up = 250;
x276.lo = 70; x276.up = 95;
x277.lo = 70; x277.up = 95;
x278.lo = 70; x278.up = 95;
x279.lo = 18; x279.up = 36.8;
x280.lo = 18; x280.up = 36.8;
x281.lo = 18; x281.up = 36.8;
x282.lo = 3.77; x282.up = 19;
x283.lo = 3.77; x283.up = 19;
x284.lo = 3.77; x284.up = 19;
x285.lo = 10; x285.up = 50;
x286.lo = 10; x286.up = 50;
x287.lo = 10; x287.up = 50;
x288.lo = 70; x288.up = 95;
x289.lo = 70; x289.up = 95;
x290.lo = 70; x290.up = 95;
x291.lo = -8; x291.up = 4;
x292.lo = -8; x292.up = 4;
x293.lo = -8; x293.up = 4;
x294.lo = -2; x294.up = 1;
x295.lo = -2; x295.up = 1;
x296.lo = -2; x296.up = 1;

Model m / all /;

m.limrow=0; m.limcol=0;
m.tolproj=0.0;

$if NOT '%gams.u1%' == '' $include '%gams.u1%'

$if not set MINLP $set MINLP MINLP
Solve m using %MINLP% minimizing objvar;


Last updated: 2022-08-11 Git hash: f176bd52
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