MINLPLib

A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Instance rsyn0805m02m

Redesign of existing plants to increase throughput, reduce energy consumption, improve yields, and reduce waste generation. Given limited capital investments to make process improvements and cost estimations over a given time horizon, the problem is to identify the modifications that yield the highest economic improvement which is defined as the income from product sales minus the cost of raw materials, energy, and process modifications.
Formats ams gms mod nl osil py
Primal Bounds (infeas ≤ 1e-08)
2238.39544600 p1 ( gdx sol )
(infeas: 2e-14)
Other points (infeas > 1e-08)  
Dual Bounds
2238.39544600 (ALPHAECP)
2238.39586000 (ANTIGONE)
2238.39544800 (BARON)
2574.40150000 (BONMIN)
2238.39546200 (COUENNE)
2238.39544600 (LINDO)
2238.39578600 (SCIP)
2238.39623000 (SHOT)
References Sawaya, Nicolas W, Reformulations, relaxations and cutting planes for generalized disjunctive programming, PhD thesis, Carnegie Mellon University, 2006.
Source RSyn0805M02M.gms from CMU-IBM MINLP solver project page
Application Retrofit Planning
Added to library 28 Sep 2013
Problem type MBNLP
#Variables 360
#Binary Variables 148
#Integer Variables 0
#Nonlinear Variables 6
#Nonlinear Binary Variables 0
#Nonlinear Integer Variables 0
Objective Sense max
Objective type linear
Objective curvature linear
#Nonzeros in Objective 92
#Nonlinear Nonzeros in Objective 0
#Constraints 769
#Linear Constraints 763
#Quadratic Constraints 0
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 6
Operands in Gen. Nonlin. Functions log
Constraints curvature convex
#Nonzeros in Jacobian 1859
#Nonlinear Nonzeros in Jacobian 6
#Nonzeros in (Upper-Left) Hessian of Lagrangian 6
#Nonzeros in Diagonal of Hessian of Lagrangian 6
#Blocks in Hessian of Lagrangian 6
Minimal blocksize in Hessian of Lagrangian 1
Maximal blocksize in Hessian of Lagrangian 1
Average blocksize in Hessian of Lagrangian 1.0
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Minimal coefficient 2.0000e-01
Maximal coefficient 4.0500e+02
Infeasibility of initial point 1.4
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
*        770      161      178      431        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        361      213      148        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       1952     1946        6        0
*
*  Solve m using MINLP maximizing objvar;


Variables  objvar,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,x68,x69
          ,x70,x71,x72,x73,x74,x75,x76,x77,x78,x79,x80,x81,x82,x83,x84,x85,x86
          ,x87,x88,x89,x90,x91,x92,x93,x94,x95,x96,x97,x98,x99,x100,x101,x102
          ,x103,x104,x105,x106,x107,x108,x109,x110,x111,x112,x113,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,b174,b175,b176,b177,b178,b179,b180
          ,b181,b182,b183,b184,b185,b186,b187,b188,b189,b190,b191,b192,b193
          ,b194,b195,b196,b197,b198,b199,b200,b201,b202,b203,b204,b205,b206
          ,b207,b208,b209,b210,b211,b212,b213,b214,b215,b216,b217,b218,b219
          ,b220,b221,b222,b223,b224,b225,b226,b227,b228,b229,b230,b231,b232
          ,b233,b234,b235,b236,b237,b238,b239,b240,b241,b242,b243,b244,b245
          ,b246,b247,b248,b249,b250,b251,b252,b253,b254,b255,b256,b257,b258
          ,b259,b260,b261,b262,b263,b264,b265,b266,b267,b268,b269,b270,b271
          ,b272,b273,b274,b275,b276,b277,b278,b279,b280,b281,b282,b283,b284
          ,b285,b286,b287,b288,b289,b290,b291,b292,b293,b294,b295,b296,b297
          ,b298,b299,b300,b301,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,b332,b333,b334,b335,b336
          ,b337,b338,b339,b340,b341,b342,b343,b344,b345,b346,b347,b348,b349
          ,b350,b351,x352,x353,x354,x355,x356,x357,x358,x359,x360,x361;

Positive Variables  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,x68
          ,x69,x70,x71,x72,x73,x74,x75,x76,x77,x78,x79,x80,x81,x82,x83,x84,x85
          ,x86,x87,x88,x89,x90,x91,x92,x93,x94,x95,x96,x97,x98,x99,x100,x101
          ,x102,x103,x104,x105,x106,x107,x108,x109,x110,x111,x112,x113,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,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;

Binary Variables  b174,b175,b176,b177,b178,b179,b180,b181,b182,b183,b184,b185
          ,b186,b187,b188,b189,b190,b191,b192,b193,b194,b195,b196,b197,b198
          ,b199,b200,b201,b202,b203,b204,b205,b206,b207,b208,b209,b210,b211
          ,b212,b213,b214,b215,b216,b217,b218,b219,b220,b221,b222,b223,b224
          ,b225,b226,b227,b228,b229,b230,b231,b232,b233,b234,b235,b236,b237
          ,b238,b239,b240,b241,b242,b243,b244,b245,b246,b247,b248,b249,b250
          ,b251,b252,b253,b254,b255,b256,b257,b258,b259,b260,b261,b262,b263
          ,b264,b265,b266,b267,b268,b269,b270,b271,b272,b273,b274,b275,b276
          ,b277,b278,b279,b280,b281,b282,b283,b284,b285,b286,b287,b288,b289
          ,b290,b291,b292,b293,b294,b295,b296,b297,b298,b299,b300,b301,b332
          ,b333,b334,b335,b336,b337,b338,b339,b340,b341,b342,b343,b344,b345
          ,b346,b347,b348,b349,b350,b351;

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,e526,e527,e528,e529,e530,e531,e532
          ,e533,e534,e535,e536,e537,e538,e539,e540,e541,e542,e543,e544,e545
          ,e546,e547,e548,e549,e550,e551,e552,e553,e554,e555,e556,e557,e558
          ,e559,e560,e561,e562,e563,e564,e565,e566,e567,e568,e569,e570,e571
          ,e572,e573,e574,e575,e576,e577,e578,e579,e580,e581,e582,e583,e584
          ,e585,e586,e587,e588,e589,e590,e591,e592,e593,e594,e595,e596,e597
          ,e598,e599,e600,e601,e602,e603,e604,e605,e606,e607,e608,e609,e610
          ,e611,e612,e613,e614,e615,e616,e617,e618,e619,e620,e621,e622,e623
          ,e624,e625,e626,e627,e628,e629,e630,e631,e632,e633,e634,e635,e636
          ,e637,e638,e639,e640,e641,e642,e643,e644,e645,e646,e647,e648,e649
          ,e650,e651,e652,e653,e654,e655,e656,e657,e658,e659,e660,e661,e662
          ,e663,e664,e665,e666,e667,e668,e669,e670,e671,e672,e673,e674,e675
          ,e676,e677,e678,e679,e680,e681,e682,e683,e684,e685,e686,e687,e688
          ,e689,e690,e691,e692,e693,e694,e695,e696,e697,e698,e699,e700,e701
          ,e702,e703,e704,e705,e706,e707,e708,e709,e710,e711,e712,e713,e714
          ,e715,e716,e717,e718,e719,e720,e721,e722,e723,e724,e725,e726,e727
          ,e728,e729,e730,e731,e732,e733,e734,e735,e736,e737,e738,e739,e740
          ,e741,e742,e743,e744,e745,e746,e747,e748,e749,e750,e751,e752,e753
          ,e754,e755,e756,e757,e758,e759,e760,e761,e762,e763,e764,e765,e766
          ,e767,e768,e769,e770;


e1..    objvar + 20*x2 + 17*x3 + 20*x12 + 21*x13 + 18*x20 + 20*x21 + 16*x44
      + 19*x45 - 26*x52 - 31*x53 - 30*x56 - 29*x57 + 20*x58 + 18*x59 - 2*x64
      - 2*x65 - 3*x66 - 2*x67 - 30*x68 - 31*x69 - 24*x70 - 22*x71 + 6*b240
      + 4*b241 + 40*b242 + 35*b243 + 46*b244 + 39*b245 + 7*b248 + 4*b249
      + 30*b250 + 25*b251 + 37*b252 + 29*b253 + 7*b256 + 5*b257 + 15*b258
      + 5*b259 + 22*b260 + 10*b261 + 11*b264 + 8*b265 + 13*b266 + 8*b267
      + 24*b268 + 16*b269 + 10*b272 + 7*b273 + 13*b274 + 8*b275 + 23*b276
      + 15*b277 + 9*b280 + 9*b281 + 30*b282 + 30*b283 + 39*b284 + 39*b285
      + 8*b288 + 7*b289 + 20*b290 + 15*b291 + 28*b292 + 22*b293 + 8*b296
      + 6*b297 + 15*b298 + 10*b299 + 23*b300 + 16*b301 + x302 + x303 - 5*x314
      - 10*x315 + 2*x324 + x325 - 80*x326 - 90*x327 - 285*x328 - 390*x329
      - 290*x330 - 405*x331 + 5*b342 + 4*b343 + 8*b344 + 7*b345 + 6*b346
      + 9*b347 + 10*b348 + 9*b349 + 6*b350 + 10*b351 =E= 0;

e2..    x2 - 0.2*x72 =E= 0;

e3..    x3 - 0.2*x73 =E= 0;

e4..    x4 - 0.2*x74 =E= 0;

e5..    x5 - 0.2*x75 =E= 0;

e6..    x6 - 0.2*x76 =E= 0;

e7..    x7 - 0.2*x77 =E= 0;

e8..    x8 - 0.2*x78 =E= 0;

e9..    x9 - 0.2*x79 =E= 0;

e10..    x10 - 0.2*x80 =E= 0;

e11..    x11 - 0.2*x81 =E= 0;

e12..    x12 - 0.5*x82 =E= 0;

e13..    x13 - 0.5*x83 =E= 0;

e14..    x14 - 0.5*x84 =E= 0;

e15..    x15 - 0.5*x85 =E= 0;

e16..    x16 - 0.7*x86 =E= 0;

e17..    x17 - 0.7*x87 =E= 0;

e18..    x18 - 0.7*x88 =E= 0;

e19..    x19 - 0.7*x89 =E= 0;

e20..    x20 - 1.2*x90 =E= 0;

e21..    x21 - 1.2*x91 =E= 0;

e22..    x22 - 1.2*x92 =E= 0;

e23..    x23 - 1.2*x93 =E= 0;

e24..    x24 - 0.5*x94 =E= 0;

e25..    x25 - 0.5*x95 =E= 0;

e26..    x26 - 0.7*x96 =E= 0;

e27..    x27 - 0.7*x97 =E= 0;

e28..    x28 - 1.2*x98 =E= 0;

e29..    x29 - 1.2*x99 =E= 0;

e30..    x30 - 1.2*x100 =E= 0;

e31..    x31 - 1.2*x101 =E= 0;

e32..    x32 - 1.2*x102 =E= 0;

e33..    x33 - 1.2*x103 =E= 0;

e34..    x34 - 1.2*x104 =E= 0;

e35..    x35 - 1.2*x105 =E= 0;

e36..    x36 - 0.3*x106 =E= 0;

e37..    x37 - 0.3*x107 =E= 0;

e38..    x38 - 0.9*x108 =E= 0;

e39..    x39 - 0.9*x109 =E= 0;

e40..    x40 - 0.3*x110 =E= 0;

e41..    x41 - 0.3*x111 =E= 0;

e42..    x42 - 0.9*x112 =E= 0;

e43..    x43 - 0.9*x113 =E= 0;

e44..    x44 - 0.4*x114 =E= 0;

e45..    x45 - 0.4*x115 =E= 0;

e46..    x46 - 0.4*x116 =E= 0;

e47..    x47 - 0.4*x117 =E= 0;

e48..    x48 - 0.4*x118 =E= 0;

e49..    x49 - 0.4*x119 =E= 0;

e50..    x50 - 1.6*x120 =E= 0;

e51..    x51 - 1.6*x121 =E= 0;

e52..    x52 - 1.6*x122 =E= 0;

e53..    x53 - 1.6*x123 =E= 0;

e54..    x54 - 1.1*x124 =E= 0;

e55..    x55 - 1.1*x125 =E= 0;

e56..    x56 - 1.1*x126 =E= 0;

e57..    x57 - 1.1*x127 =E= 0;

e58..    x58 - 0.7*x128 =E= 0;

e59..    x59 - 0.7*x129 =E= 0;

e60..    x60 - 0.7*x130 =E= 0;

e61..    x61 - 0.7*x131 =E= 0;

e62..    x62 - 0.7*x132 =E= 0;

e63..    x63 - 0.7*x133 =E= 0;

e64..    x64 - 0.2*x134 =E= 0;

e65..    x65 - 0.2*x135 =E= 0;

e66..    x66 - 0.7*x136 =E= 0;

e67..    x67 - 0.7*x137 =E= 0;

e68..    x68 - 0.3*x138 =E= 0;

e69..    x69 - 0.3*x139 =E= 0;

e70..    x70 - 0.9*x140 =E= 0;

e71..    x71 - 0.9*x141 =E= 0;

e72..    x52 =G= 1.2;

e73..    x53 =G= 1.15;

e74..    x56 =G= 1.2;

e75..    x57 =G= 1.15;

e76..    x64 =G= 1.1;

e77..    x65 =G= 1.1;

e78..    x66 =G= 1.1;

e79..    x67 =G= 1.1;

e80..    x68 =G= 1.4;

e81..    x69 =G= 1.3;

e82..    x70 =G= 1.3;

e83..    x71 =G= 1.2;

e84..    x2 =L= 55;

e85..    x3 =L= 40;

e86..    x12 =L= 46;

e87..    x13 =L= 41;

e88..    x20 =L= 45;

e89..    x21 =L= 62;

e90..    x44 =L= 54;

e91..    x45 =L= 51;

e92..    x58 =L= 40;

e93..    x59 =L= 45;

e94..    x2 - x4 - x6 =E= 0;

e95..    x3 - x5 - x7 =E= 0;

e96..    x8 - x10 =E= 0;

e97..    x9 - x11 =E= 0;

e98..    x12 - x14 + x24 =E= 0;

e99..    x13 - x15 + x25 =E= 0;

e100..    x16 - x18 + x26 =E= 0;

e101..    x17 - x19 + x27 =E= 0;

e102..    x20 - x22 - x28 =E= 0;

e103..    x21 - x23 - x29 =E= 0;

e104..    x30 - x32 - x34 =E= 0;

e105..    x31 - x33 - x35 =E= 0;

e106..    x36 - x40 =E= 0;

e107..    x37 - x41 =E= 0;

e108..    x38 - x42 =E= 0;

e109..    x39 - x43 =E= 0;

e110..    x44 - x46 - x48 =E= 0;

e111..    x45 - x47 - x49 =E= 0;

e112..    x50 - x52 =E= 0;

e113..    x51 - x53 =E= 0;

e114..    x54 - x56 =E= 0;

e115..    x55 - x57 =E= 0;

e116..    x58 - x60 =E= 0;

e117..    x59 - x61 =E= 0;

e118..    x4 - x8 - x142 =E= 0;

e119..    x5 - x9 - x143 =E= 0;

e120..    x6 + x14 - x16 - x144 =E= 0;

e121..    x7 + x15 - x17 - x145 =E= 0;

e122..    x22 - x24 - x26 - x146 =E= 0;

e123..    x23 - x25 - x27 - x147 =E= 0;

e124..    x28 - x30 - x148 =E= 0;

e125..    x29 - x31 - x149 =E= 0;

e126..    x34 - x36 - x38 - x150 =E= 0;

e127..    x35 - x37 - x39 - x151 =E= 0;

e128..    x32 + x46 - x50 - x152 =E= 0;

e129..    x33 + x47 - x51 - x153 =E= 0;

e130..    x48 - x54 + x62 - x154 =E= 0;

e131..    x49 - x55 + x63 - x155 =E= 0;

e132..    x60 - x62 - x156 =E= 0;

e133..    x61 - x63 - x157 =E= 0;

e134..    x76 - x84 =L= 0;

e135..    x77 - x85 =L= 0;

e136..    x102 - x116 =L= 0;

e137..    x103 - x117 =L= 0;

e138..    x118 - x132 =L= 0;

e139..    x119 - x133 =L= 0;

e140..  - 0.8*x74 + x78 + 233.75*b174 =L= 233.75;

e141..  - 0.8*x75 + x79 + 170*b175 =L= 170;

e142..  - 0.85*x74 + x78 + 233.75*b176 =L= 233.75;

e143..  - 0.85*x75 + x79 + 170*b177 =L= 170;

e144..  - 0.8*x74 + x78 + 233.75*b178 =L= 233.75;

e145..  - 0.8*x75 + x79 + 170*b179 =L= 170;

e146..  - 0.85*x74 + x78 + 233.75*b180 =L= 233.75;

e147..  - 0.85*x75 + x79 + 170*b181 =L= 170;

e148..  - 0.8*x74 + x78 - 233.75*b174 =G= -233.75;

e149..  - 0.8*x75 + x79 - 170*b175 =G= -170;

e150..  - 0.85*x74 + x78 - 233.75*b176 =G= -233.75;

e151..  - 0.85*x75 + x79 - 170*b177 =G= -170;

e152..  - 0.8*x74 + x78 - 233.75*b178 =G= -233.75;

e153..  - 0.8*x75 + x79 - 170*b179 =G= -170;

e154..  - 0.85*x74 + x78 - 233.75*b180 =G= -233.75;

e155..  - 0.85*x75 + x79 - 170*b181 =G= -170;

e156..  - 0.9*x76 + x86 + 383.5625*b182 =L= 383.5625;

e157..  - 0.9*x77 + x87 + 316.001666666667*b183 =L= 316.001666666667;

e158..  - 0.95*x76 + x86 + 383.5625*b184 =L= 383.5625;

e159..  - 0.95*x77 + x87 + 316.001666666667*b185 =L= 316.001666666667;

e160..  - 0.9*x76 + x86 + 383.5625*b186 =L= 383.5625;

e161..  - 0.9*x77 + x87 + 316.001666666667*b187 =L= 316.001666666667;

e162..  - 0.95*x76 + x86 + 383.5625*b188 =L= 383.5625;

e163..  - 0.95*x77 + x87 + 316.001666666667*b189 =L= 316.001666666667;

e164..  - 0.9*x76 + x86 - 261.25*b182 =G= -261.25;

e165..  - 0.9*x77 + x87 - 190*b183 =G= -190;

e166..  - 0.95*x76 + x86 - 261.25*b184 =G= -261.25;

e167..  - 0.95*x77 + x87 - 190*b185 =G= -190;

e168..  - 0.9*x76 + x86 - 261.25*b186 =G= -261.25;

e169..  - 0.9*x77 + x87 - 190*b187 =G= -190;

e170..  - 0.95*x76 + x86 - 261.25*b188 =G= -261.25;

e171..  - 0.95*x77 + x87 - 190*b189 =G= -190;

e172..  - 0.85*x92 + x94 + 36.75*b190 =L= 36.75;

e173..  - 0.85*x93 + x95 + 50.6333333333333*b191 =L= 50.6333333333333;

e174..  - 0.98*x92 + x94 + 36.75*b192 =L= 36.75;

e175..  - 0.98*x93 + x95 + 50.6333333333333*b193 =L= 50.6333333333333;

e176..  - 0.85*x92 + x94 + 36.75*b194 =L= 36.75;

e177..  - 0.85*x93 + x95 + 50.6333333333333*b195 =L= 50.6333333333333;

e178..  - 0.98*x92 + x94 + 36.75*b196 =L= 36.75;

e179..  - 0.98*x93 + x95 + 50.6333333333333*b197 =L= 50.6333333333333;

e180..  - 0.85*x92 + x96 + 36.75*b190 =L= 36.75;

e181..  - 0.85*x93 + x97 + 50.6333333333333*b191 =L= 50.6333333333333;

e182..  - 0.98*x92 + x96 + 36.75*b192 =L= 36.75;

e183..  - 0.98*x93 + x97 + 50.6333333333333*b193 =L= 50.6333333333333;

e184..  - 0.85*x92 + x96 + 36.75*b194 =L= 36.75;

e185..  - 0.85*x93 + x97 + 50.6333333333333*b195 =L= 50.6333333333333;

e186..  - 0.98*x92 + x96 + 36.75*b196 =L= 36.75;

e187..  - 0.98*x93 + x97 + 50.6333333333333*b197 =L= 50.6333333333333;

e188..  - 0.85*x92 + x94 - 36.75*b190 =G= -36.75;

e189..  - 0.85*x93 + x95 - 50.6333333333333*b191 =G= -50.6333333333333;

e190..  - 0.98*x92 + x94 - 36.75*b192 =G= -36.75;

e191..  - 0.98*x93 + x95 - 50.6333333333333*b193 =G= -50.6333333333333;

e192..  - 0.85*x92 + x94 - 36.75*b194 =G= -36.75;

e193..  - 0.85*x93 + x95 - 50.6333333333333*b195 =G= -50.6333333333333;

e194..  - 0.98*x92 + x94 - 36.75*b196 =G= -36.75;

e195..  - 0.98*x93 + x95 - 50.6333333333333*b197 =G= -50.6333333333333;

e196..  - 0.85*x92 + x96 - 36.75*b190 =G= -36.75;

e197..  - 0.85*x93 + x97 - 50.6333333333333*b191 =G= -50.6333333333333;

e198..  - 0.98*x92 + x96 - 36.75*b192 =G= -36.75;

e199..  - 0.98*x93 + x97 - 50.6333333333333*b193 =G= -50.6333333333333;

e200..  - 0.85*x92 + x96 - 36.75*b194 =G= -36.75;

e201..  - 0.85*x93 + x97 - 50.6333333333333*b195 =G= -50.6333333333333;

e202..  - 0.98*x92 + x96 - 36.75*b196 =G= -36.75;

e203..  - 0.98*x93 + x97 - 50.6333333333333*b197 =G= -50.6333333333333;

e204..  - 0.85*x98 + x100 + 33.75*b198 =L= 33.75;

e205..  - 0.85*x99 + x101 + 46.5*b199 =L= 46.5;

e206..  - 0.9*x98 + x100 + 33.75*b200 =L= 33.75;

e207..  - 0.9*x99 + x101 + 46.5*b201 =L= 46.5;

e208..  - 0.85*x98 + x100 + 33.75*b202 =L= 33.75;

e209..  - 0.85*x99 + x101 + 46.5*b203 =L= 46.5;

e210..  - 0.9*x98 + x100 + 33.75*b204 =L= 33.75;

e211..  - 0.9*x99 + x101 + 46.5*b205 =L= 46.5;

e212..  - 0.85*x98 + x100 - 33.75*b198 =G= -33.75;

e213..  - 0.85*x99 + x101 - 46.5*b199 =G= -46.5;

e214..  - 0.9*x98 + x100 - 33.75*b200 =G= -33.75;

e215..  - 0.9*x99 + x101 - 46.5*b201 =G= -46.5;

e216..  - 0.85*x98 + x100 - 33.75*b202 =G= -33.75;

e217..  - 0.85*x99 + x101 - 46.5*b203 =G= -46.5;

e218..  - 0.9*x98 + x100 - 33.75*b204 =G= -33.75;

e219..  - 0.9*x99 + x101 - 46.5*b205 =G= -46.5;

e220..  - 0.75*x104 + x106 + 32.0625*b206 =L= 32.0625;

e221..  - 0.75*x105 + x107 + 44.175*b207 =L= 44.175;

e222..  - 0.95*x104 + x106 + 32.0625*b208 =L= 32.0625;

e223..  - 0.95*x105 + x107 + 44.175*b209 =L= 44.175;

e224..  - 0.9*x104 + x106 + 32.0625*b210 =L= 32.0625;

e225..  - 0.9*x105 + x107 + 44.175*b211 =L= 44.175;

e226..  - 0.95*x104 + x106 + 32.0625*b212 =L= 32.0625;

e227..  - 0.95*x105 + x107 + 44.175*b213 =L= 44.175;

e228..  - 0.75*x104 + x108 + 32.0625*b206 =L= 32.0625;

e229..  - 0.75*x105 + x109 + 44.175*b207 =L= 44.175;

e230..  - 0.95*x104 + x108 + 32.0625*b208 =L= 32.0625;

e231..  - 0.95*x105 + x109 + 44.175*b209 =L= 44.175;

e232..  - 0.9*x104 + x108 + 32.0625*b210 =L= 32.0625;

e233..  - 0.9*x105 + x109 + 44.175*b211 =L= 44.175;

e234..  - 0.95*x104 + x108 + 32.0625*b212 =L= 32.0625;

e235..  - 0.95*x105 + x109 + 44.175*b213 =L= 44.175;

e236..  - 0.75*x104 + x106 - 32.0625*b206 =G= -32.0625;

e237..  - 0.75*x105 + x107 - 44.175*b207 =G= -44.175;

e238..  - 0.95*x104 + x106 - 32.0625*b208 =G= -32.0625;

e239..  - 0.95*x105 + x107 - 44.175*b209 =G= -44.175;

e240..  - 0.9*x104 + x106 - 32.0625*b210 =G= -32.0625;

e241..  - 0.9*x105 + x107 - 44.175*b211 =G= -44.175;

e242..  - 0.95*x104 + x106 - 32.0625*b212 =G= -32.0625;

e243..  - 0.95*x105 + x107 - 44.175*b213 =G= -44.175;

e244..  - 0.75*x104 + x108 - 32.0625*b206 =G= -32.0625;

e245..  - 0.75*x105 + x109 - 44.175*b207 =G= -44.175;

e246..  - 0.95*x104 + x108 - 32.0625*b208 =G= -32.0625;

e247..  - 0.95*x105 + x109 - 44.175*b209 =G= -44.175;

e248..  - 0.9*x104 + x108 - 32.0625*b210 =G= -32.0625;

e249..  - 0.9*x105 + x109 - 44.175*b211 =G= -44.175;

e250..  - 0.95*x104 + x108 - 32.0625*b212 =G= -32.0625;

e251..  - 0.95*x105 + x109 - 44.175*b213 =G= -44.175;

e252..  - 0.8*x102 + x120 + 143.4375*b214 =L= 143.4375;

e253..  - 0.8*x103 + x121 + 147.9*b215 =L= 147.9;

e254..  - 0.85*x102 + x120 + 143.4375*b216 =L= 143.4375;

e255..  - 0.85*x103 + x121 + 147.9*b217 =L= 147.9;

e256..  - 0.8*x102 + x120 + 143.4375*b218 =L= 143.4375;

e257..  - 0.8*x103 + x121 + 147.9*b219 =L= 147.9;

e258..  - 0.85*x102 + x120 + 143.4375*b220 =L= 143.4375;

e259..  - 0.85*x103 + x121 + 147.9*b221 =L= 147.9;

e260..  - 0.8*x102 + x120 - 28.6875*b214 =G= -28.6875;

e261..  - 0.8*x103 + x121 - 39.525*b215 =G= -39.525;

e262..  - 0.85*x102 + x120 - 28.6875*b216 =G= -28.6875;

e263..  - 0.85*x103 + x121 - 39.525*b217 =G= -39.525;

e264..  - 0.8*x102 + x120 - 28.6875*b218 =G= -28.6875;

e265..  - 0.8*x103 + x121 - 39.525*b219 =G= -39.525;

e266..  - 0.85*x102 + x120 - 28.6875*b220 =G= -28.6875;

e267..  - 0.85*x103 + x121 - 39.525*b221 =G= -39.525;

e268..  - 0.85*x118 + x124 + 178.192857142857*b222 =L= 178.192857142857;

e269..  - 0.85*x119 + x125 + 177.310714285714*b223 =L= 177.310714285714;

e270..  - 0.95*x118 + x124 + 178.192857142857*b224 =L= 178.192857142857;

e271..  - 0.95*x119 + x125 + 177.310714285714*b225 =L= 177.310714285714;

e272..  - 0.85*x118 + x124 + 178.192857142857*b226 =L= 178.192857142857;

e273..  - 0.85*x119 + x125 + 177.310714285714*b227 =L= 177.310714285714;

e274..  - 0.95*x118 + x124 + 178.192857142857*b228 =L= 178.192857142857;

e275..  - 0.95*x119 + x125 + 177.310714285714*b229 =L= 177.310714285714;

e276..  - 0.85*x118 + x124 - 128.25*b222 =G= -128.25;

e277..  - 0.85*x119 + x125 - 121.125*b223 =G= -121.125;

e278..  - 0.95*x118 + x124 - 128.25*b224 =G= -128.25;

e279..  - 0.95*x119 + x125 - 121.125*b225 =G= -121.125;

e280..  - 0.85*x118 + x124 - 128.25*b226 =G= -128.25;

e281..  - 0.85*x119 + x125 - 121.125*b227 =G= -121.125;

e282..  - 0.95*x118 + x124 - 128.25*b228 =G= -128.25;

e283..  - 0.95*x119 + x125 - 121.125*b229 =G= -121.125;

e284..  - 0.8*x130 + x132 + 52.5714285714286*b230 =L= 52.5714285714286;

e285..  - 0.8*x131 + x133 + 59.1428571428572*b231 =L= 59.1428571428572;

e286..  - 0.92*x130 + x132 + 52.5714285714286*b232 =L= 52.5714285714286;

e287..  - 0.92*x131 + x133 + 59.1428571428572*b233 =L= 59.1428571428572;

e288..  - 0.8*x130 + x132 + 52.5714285714286*b234 =L= 52.5714285714286;

e289..  - 0.8*x131 + x133 + 59.1428571428572*b235 =L= 59.1428571428572;

e290..  - 0.92*x130 + x132 + 52.5714285714286*b236 =L= 52.5714285714286;

e291..  - 0.92*x131 + x133 + 59.1428571428572*b237 =L= 59.1428571428572;

e292..  - 0.8*x130 + x132 - 52.5714285714286*b230 =G= -52.5714285714286;

e293..  - 0.8*x131 + x133 - 59.1428571428572*b231 =G= -59.1428571428572;

e294..  - 0.92*x130 + x132 - 52.5714285714286*b232 =G= -52.5714285714286;

e295..  - 0.92*x131 + x133 - 59.1428571428572*b233 =G= -59.1428571428572;

e296..  - 0.8*x130 + x132 - 52.5714285714286*b234 =G= -52.5714285714286;

e297..  - 0.8*x131 + x133 - 59.1428571428572*b235 =G= -59.1428571428572;

e298..  - 0.92*x130 + x132 - 52.5714285714286*b236 =G= -52.5714285714286;

e299..  - 0.92*x131 + x133 - 59.1428571428572*b237 =G= -59.1428571428572;

e300..    x4 + 45*b174 =L= 55;

e301..    x5 + 30*b175 =L= 40;

e302..    x4 + 45*b176 =L= 55;

e303..    x5 + 30*b177 =L= 40;

e304..    x4 + 5*b178 =L= 55;

e305..    x5 - 10*b179 =L= 40;

e306..    x4 + 5*b180 =L= 55;

e307..    x5 - 10*b181 =L= 40;

e308..    x6 + x14 + 106*b182 =L= 146;

e309..    x7 + x15 + 103*b183 =L= 143;

e310..    x6 + x14 + 106*b184 =L= 146;

e311..    x7 + x15 + 103*b185 =L= 143;

e312..    x6 + x14 + 86*b186 =L= 146;

e313..    x7 + x15 + 83*b187 =L= 143;

e314..    x6 + x14 + 86*b188 =L= 146;

e315..    x7 + x15 + 83*b189 =L= 143;

e316..    x22 + 30*b190 =L= 45;

e317..    x23 + 47*b191 =L= 62;

e318..    x22 + 30*b192 =L= 45;

e319..    x23 + 47*b193 =L= 62;

e320..    x22 + 20*b194 =L= 45;

e321..    x23 + 37*b195 =L= 62;

e322..    x22 + 20*b196 =L= 45;

e323..    x23 + 37*b197 =L= 62;

e324..    x28 + 30*b198 =L= 45;

e325..    x29 + 47*b199 =L= 62;

e326..    x28 + 30*b200 =L= 45;

e327..    x29 + 47*b201 =L= 62;

e328..    x28 + 25*b202 =L= 45;

e329..    x29 + 42*b203 =L= 62;

e330..    x28 + 25*b204 =L= 45;

e331..    x29 + 42*b205 =L= 62;

e332..    x34 + 35*b206 =L= 45;

e333..    x35 + 52*b207 =L= 62;

e334..    x34 + 35*b208 =L= 45;

e335..    x35 + 52*b209 =L= 62;

e336..    x34 + 25*b210 =L= 45;

e337..    x35 + 42*b211 =L= 62;

e338..    x34 + 25*b212 =L= 45;

e339..    x35 + 42*b213 =L= 62;

e340..    x32 + x46 + 79*b214 =L= 99;

e341..    x33 + x47 + 93*b215 =L= 113;

e342..    x32 + x46 + 79*b216 =L= 99;

e343..    x33 + x47 + 93*b217 =L= 113;

e344..    x32 + x46 + 44*b218 =L= 99;

e345..    x33 + x47 + 58*b219 =L= 113;

e346..    x32 + x46 + 44*b220 =L= 99;

e347..    x33 + x47 + 58*b221 =L= 113;

e348..    x48 + x62 + 69*b222 =L= 94;

e349..    x49 + x63 + 71*b223 =L= 96;

e350..    x48 + x62 + 69*b224 =L= 94;

e351..    x49 + x63 + 71*b225 =L= 96;

e352..    x48 + x62 + 44*b226 =L= 94;

e353..    x49 + x63 + 46*b227 =L= 96;

e354..    x48 + x62 + 44*b228 =L= 94;

e355..    x49 + x63 + 46*b229 =L= 96;

e356..    x60 + 25*b230 =L= 40;

e357..    x61 + 30*b231 =L= 45;

e358..    x60 + 25*b232 =L= 40;

e359..    x61 + 30*b233 =L= 45;

e360..    x60 + 5*b234 =L= 40;

e361..    x61 + 10*b235 =L= 45;

e362..    x60 + 5*b236 =L= 40;

e363..    x61 + 10*b237 =L= 45;

e364..    x158 + 46*b238 =L= 46;

e365..    x159 + 39*b239 =L= 39;

e366..    x158 + 40*b240 =L= 46;

e367..    x159 + 35*b241 =L= 39;

e368..    x158 + 6*b242 =L= 46;

e369..    x159 + 4*b243 =L= 39;

e370..    x158 =L= 46;

e371..    x159 =L= 39;

e372..    x160 + 37*b246 =L= 37;

e373..    x161 + 29*b247 =L= 29;

e374..    x160 + 30*b248 =L= 37;

e375..    x161 + 25*b249 =L= 29;

e376..    x160 + 7*b250 =L= 37;

e377..    x161 + 4*b251 =L= 29;

e378..    x160 =L= 37;

e379..    x161 =L= 29;

e380..    x162 + 22*b254 =L= 22;

e381..    x163 + 10*b255 =L= 10;

e382..    x162 + 15*b256 =L= 22;

e383..    x163 + 5*b257 =L= 10;

e384..    x162 + 7*b258 =L= 22;

e385..    x163 + 5*b259 =L= 10;

e386..    x162 =L= 22;

e387..    x163 =L= 10;

e388..    x164 + 24*b262 =L= 24;

e389..    x165 + 16*b263 =L= 16;

e390..    x164 + 13*b264 =L= 24;

e391..    x165 + 8*b265 =L= 16;

e392..    x164 + 11*b266 =L= 24;

e393..    x165 + 8*b267 =L= 16;

e394..    x164 =L= 24;

e395..    x165 =L= 16;

e396..    x166 + 23*b270 =L= 23;

e397..    x167 + 15*b271 =L= 15;

e398..    x166 + 13*b272 =L= 23;

e399..    x167 + 8*b273 =L= 15;

e400..    x166 + 10*b274 =L= 23;

e401..    x167 + 7*b275 =L= 15;

e402..    x166 =L= 23;

e403..    x167 =L= 15;

e404..    x168 + 39*b278 =L= 39;

e405..    x169 + 39*b279 =L= 39;

e406..    x168 + 30*b280 =L= 39;

e407..    x169 + 30*b281 =L= 39;

e408..    x168 + 9*b282 =L= 39;

e409..    x169 + 9*b283 =L= 39;

e410..    x168 =L= 39;

e411..    x169 =L= 39;

e412..    x170 + 28*b286 =L= 28;

e413..    x171 + 22*b287 =L= 22;

e414..    x170 + 20*b288 =L= 28;

e415..    x171 + 15*b289 =L= 22;

e416..    x170 + 8*b290 =L= 28;

e417..    x171 + 7*b291 =L= 22;

e418..    x170 =L= 28;

e419..    x171 =L= 22;

e420..    x172 + 23*b294 =L= 23;

e421..    x173 + 16*b295 =L= 16;

e422..    x172 + 15*b296 =L= 23;

e423..    x173 + 10*b297 =L= 16;

e424..    x172 + 8*b298 =L= 23;

e425..    x173 + 6*b299 =L= 16;

e426..    x172 =L= 23;

e427..    x173 =L= 16;

e428..    x158 =G= 0;

e429..    x159 =G= 0;

e430..    x158 - 6*b240 =G= 0;

e431..    x159 - 4*b241 =G= 0;

e432..    x158 - 40*b242 =G= 0;

e433..    x159 - 35*b243 =G= 0;

e434..    x158 - 46*b244 =G= 0;

e435..    x159 - 39*b245 =G= 0;

e436..    x160 =G= 0;

e437..    x161 =G= 0;

e438..    x160 - 7*b248 =G= 0;

e439..    x161 - 4*b249 =G= 0;

e440..    x160 - 30*b250 =G= 0;

e441..    x161 - 25*b251 =G= 0;

e442..    x160 - 37*b252 =G= 0;

e443..    x161 - 29*b253 =G= 0;

e444..    x162 =G= 0;

e445..    x163 =G= 0;

e446..    x162 - 7*b256 =G= 0;

e447..    x163 - 5*b257 =G= 0;

e448..    x162 - 15*b258 =G= 0;

e449..    x163 - 5*b259 =G= 0;

e450..    x162 - 22*b260 =G= 0;

e451..    x163 - 10*b261 =G= 0;

e452..    x164 =G= 0;

e453..    x165 =G= 0;

e454..    x164 - 11*b264 =G= 0;

e455..    x165 - 8*b265 =G= 0;

e456..    x164 - 13*b266 =G= 0;

e457..    x165 - 8*b267 =G= 0;

e458..    x164 - 24*b268 =G= 0;

e459..    x165 - 16*b269 =G= 0;

e460..    x166 =G= 0;

e461..    x167 =G= 0;

e462..    x166 - 10*b272 =G= 0;

e463..    x167 - 7*b273 =G= 0;

e464..    x166 - 13*b274 =G= 0;

e465..    x167 - 8*b275 =G= 0;

e466..    x166 - 23*b276 =G= 0;

e467..    x167 - 15*b277 =G= 0;

e468..    x168 =G= 0;

e469..    x169 =G= 0;

e470..    x168 - 9*b280 =G= 0;

e471..    x169 - 9*b281 =G= 0;

e472..    x168 - 30*b282 =G= 0;

e473..    x169 - 30*b283 =G= 0;

e474..    x168 - 39*b284 =G= 0;

e475..    x169 - 39*b285 =G= 0;

e476..    x170 =G= 0;

e477..    x171 =G= 0;

e478..    x170 - 8*b288 =G= 0;

e479..    x171 - 7*b289 =G= 0;

e480..    x170 - 20*b290 =G= 0;

e481..    x171 - 15*b291 =G= 0;

e482..    x170 - 28*b292 =G= 0;

e483..    x171 - 22*b293 =G= 0;

e484..    x172 =G= 0;

e485..    x173 =G= 0;

e486..    x172 - 8*b296 =G= 0;

e487..    x173 - 6*b297 =G= 0;

e488..    x172 - 15*b298 =G= 0;

e489..    x173 - 10*b299 =G= 0;

e490..    x172 - 23*b300 =G= 0;

e491..    x173 - 16*b301 =G= 0;

e492..    20*x2 + 20*x12 + 18*x20 + 16*x44 + 20*x58 + x158 + x160 + x162 + x164
        + x166 + x168 + x170 + x172 =L= 4000;

e493..    17*x3 + 21*x13 + 20*x21 + 19*x45 + 18*x59 + x159 + x161 + x163 + x165
        + x167 + x169 + x171 + x173 =L= 3800;

e494..    b174 + b176 + b178 + b180 =E= 1;

e495..    b175 + b177 + b179 + b181 =E= 1;

e496..    b182 + b184 + b186 + b188 =E= 1;

e497..    b183 + b185 + b187 + b189 =E= 1;

e498..    b190 + b192 + b194 + b196 =E= 1;

e499..    b191 + b193 + b195 + b197 =E= 1;

e500..    b198 + b200 + b202 + b204 =E= 1;

e501..    b199 + b201 + b203 + b205 =E= 1;

e502..    b206 + b208 + b210 + b212 =E= 1;

e503..    b207 + b209 + b211 + b213 =E= 1;

e504..    b214 + b216 + b218 + b220 =E= 1;

e505..    b215 + b217 + b219 + b221 =E= 1;

e506..    b222 + b224 + b226 + b228 =E= 1;

e507..    b223 + b225 + b227 + b229 =E= 1;

e508..    b230 + b232 + b234 + b236 =E= 1;

e509..    b231 + b233 + b235 + b237 =E= 1;

e510..    b238 + b240 + b242 + b244 =E= 1;

e511..    b239 + b241 + b243 + b245 =E= 1;

e512..    b246 + b248 + b250 + b252 =E= 1;

e513..    b247 + b249 + b251 + b253 =E= 1;

e514..    b254 + b256 + b258 + b260 =E= 1;

e515..    b255 + b257 + b259 + b261 =E= 1;

e516..    b262 + b264 + b266 + b268 =E= 1;

e517..    b263 + b265 + b267 + b269 =E= 1;

e518..    b270 + b272 + b274 + b276 =E= 1;

e519..    b271 + b273 + b275 + b277 =E= 1;

e520..    b278 + b280 + b282 + b284 =E= 1;

e521..    b279 + b281 + b283 + b285 =E= 1;

e522..    b286 + b288 + b290 + b292 =E= 1;

e523..    b287 + b289 + b291 + b293 =E= 1;

e524..    b294 + b296 + b298 + b300 =E= 1;

e525..    b295 + b297 + b299 + b301 =E= 1;

e526..    b176 - b177 =L= 0;

e527..    b178 - b179 =L= 0;

e528..    b180 - b181 =L= 0;

e529..    b184 - b185 =L= 0;

e530..    b186 - b187 =L= 0;

e531..    b188 - b189 =L= 0;

e532..    b192 - b193 =L= 0;

e533..    b194 - b195 =L= 0;

e534..    b196 - b197 =L= 0;

e535..    b200 - b201 =L= 0;

e536..    b202 - b203 =L= 0;

e537..    b204 - b205 =L= 0;

e538..    b208 - b209 =L= 0;

e539..    b210 - b211 =L= 0;

e540..    b212 - b213 =L= 0;

e541..    b216 - b217 =L= 0;

e542..    b218 - b219 =L= 0;

e543..    b220 - b221 =L= 0;

e544..    b224 - b225 =L= 0;

e545..    b226 - b227 =L= 0;

e546..    b228 - b229 =L= 0;

e547..    b232 - b233 =L= 0;

e548..    b234 - b235 =L= 0;

e549..    b236 - b237 =L= 0;

e550..  - b239 + b240 =L= 0;

e551..  - b238 + b241 =L= 0;

e552..  - b239 + b242 =L= 0;

e553..  - b238 + b243 =L= 0;

e554..  - b239 + b244 =L= 0;

e555..  - b238 + b245 =L= 0;

e556..  - b247 + b248 =L= 0;

e557..  - b246 + b249 =L= 0;

e558..  - b247 + b250 =L= 0;

e559..  - b246 + b251 =L= 0;

e560..  - b247 + b252 =L= 0;

e561..  - b246 + b253 =L= 0;

e562..  - b255 + b256 =L= 0;

e563..  - b254 + b257 =L= 0;

e564..  - b255 + b258 =L= 0;

e565..  - b254 + b259 =L= 0;

e566..  - b255 + b260 =L= 0;

e567..  - b254 + b261 =L= 0;

e568..  - b263 + b264 =L= 0;

e569..  - b262 + b265 =L= 0;

e570..  - b263 + b266 =L= 0;

e571..  - b262 + b267 =L= 0;

e572..  - b263 + b268 =L= 0;

e573..  - b262 + b269 =L= 0;

e574..  - b271 + b272 =L= 0;

e575..  - b270 + b273 =L= 0;

e576..  - b271 + b274 =L= 0;

e577..  - b270 + b275 =L= 0;

e578..  - b271 + b276 =L= 0;

e579..  - b270 + b277 =L= 0;

e580..  - b279 + b280 =L= 0;

e581..  - b278 + b281 =L= 0;

e582..  - b279 + b282 =L= 0;

e583..  - b278 + b283 =L= 0;

e584..  - b279 + b284 =L= 0;

e585..  - b278 + b285 =L= 0;

e586..  - b287 + b288 =L= 0;

e587..  - b286 + b289 =L= 0;

e588..  - b287 + b290 =L= 0;

e589..  - b286 + b291 =L= 0;

e590..  - b287 + b292 =L= 0;

e591..  - b286 + b293 =L= 0;

e592..  - b295 + b296 =L= 0;

e593..  - b294 + b297 =L= 0;

e594..  - b295 + b298 =L= 0;

e595..  - b294 + b299 =L= 0;

e596..  - b295 + b300 =L= 0;

e597..  - b294 + b301 =L= 0;

e598..    b174 - b238 =L= 0;

e599..    b175 - b239 =L= 0;

e600..    b182 - b246 =L= 0;

e601..    b183 - b247 =L= 0;

e602..    b190 - b254 =L= 0;

e603..    b191 - b255 =L= 0;

e604..    b198 - b262 =L= 0;

e605..    b199 - b263 =L= 0;

e606..    b206 - b270 =L= 0;

e607..    b207 - b271 =L= 0;

e608..    b214 - b278 =L= 0;

e609..    b215 - b279 =L= 0;

e610..    b222 - b286 =L= 0;

e611..    b223 - b287 =L= 0;

e612..    b230 - b294 =L= 0;

e613..    b231 - b295 =L= 0;

e614..    b176 - b240 =L= 0;

e615..  - b176 + b177 - b241 =L= 0;

e616..    b178 - b242 =L= 0;

e617..  - b178 + b179 - b243 =L= 0;

e618..    b180 - b244 =L= 0;

e619..  - b180 + b181 - b245 =L= 0;

e620..    b184 - b248 =L= 0;

e621..  - b184 + b185 - b249 =L= 0;

e622..    b186 - b250 =L= 0;

e623..  - b186 + b187 - b251 =L= 0;

e624..    b188 - b252 =L= 0;

e625..  - b188 + b189 - b253 =L= 0;

e626..    b192 - b256 =L= 0;

e627..  - b192 + b193 - b257 =L= 0;

e628..    b194 - b258 =L= 0;

e629..  - b194 + b195 - b259 =L= 0;

e630..    b196 - b260 =L= 0;

e631..  - b196 + b197 - b261 =L= 0;

e632..    b200 - b264 =L= 0;

e633..  - b200 + b201 - b265 =L= 0;

e634..    b202 - b266 =L= 0;

e635..  - b202 + b203 - b267 =L= 0;

e636..    b204 - b268 =L= 0;

e637..  - b204 + b205 - b269 =L= 0;

e638..    b208 - b272 =L= 0;

e639..  - b208 + b209 - b273 =L= 0;

e640..    b210 - b274 =L= 0;

e641..  - b210 + b211 - b275 =L= 0;

e642..    b212 - b276 =L= 0;

e643..  - b212 + b213 - b277 =L= 0;

e644..    b216 - b280 =L= 0;

e645..  - b216 + b217 - b281 =L= 0;

e646..    b218 - b282 =L= 0;

e647..  - b218 + b219 - b283 =L= 0;

e648..    b220 - b284 =L= 0;

e649..  - b220 + b221 - b285 =L= 0;

e650..    b224 - b288 =L= 0;

e651..  - b224 + b225 - b289 =L= 0;

e652..    b226 - b290 =L= 0;

e653..  - b226 + b227 - b291 =L= 0;

e654..    b228 - b292 =L= 0;

e655..  - b228 + b229 - b293 =L= 0;

e656..    b232 - b296 =L= 0;

e657..  - b232 + b233 - b297 =L= 0;

e658..    b234 - b298 =L= 0;

e659..  - b234 + b235 - b299 =L= 0;

e660..    b236 - b300 =L= 0;

e661..  - b236 + b237 - b301 =L= 0;

e662..    x10 - x64 - x302 =E= 0;

e663..    x11 - x65 - x303 =E= 0;

e664..    x18 - x66 - x324 =E= 0;

e665..    x19 - x67 - x325 =E= 0;

e666..    x40 - x68 =E= 0;

e667..    x41 - x69 =E= 0;

e668..    x42 - x70 =E= 0;

e669..    x43 - x71 =E= 0;

e670..    x302 - x304 - x306 =E= 0;

e671..    x303 - x305 - x307 =E= 0;

e672..  - x308 - x310 + x312 =E= 0;

e673..  - x309 - x311 + x313 =E= 0;

e674..    x312 - x314 - x316 =E= 0;

e675..    x313 - x315 - x317 =E= 0;

e676..    x316 - x318 - x320 - x322 =E= 0;

e677..    x317 - x319 - x321 - x323 =E= 0;

e678.. -log(1 + x304) + x308 + b332 =L= 1;

e679.. -log(1 + x305) + x309 + b333 =L= 1;

e680..    x304 - 40*b332 =L= 0;

e681..    x305 - 40*b333 =L= 0;

e682..    x308 - 3.71357206670431*b332 =L= 0;

e683..    x309 - 3.71357206670431*b333 =L= 0;

e684.. -1.2*log(1 + x306) + x310 + b334 =L= 1;

e685.. -1.2*log(1 + x307) + x311 + b335 =L= 1;

e686..    x306 - 40*b334 =L= 0;

e687..    x307 - 40*b335 =L= 0;

e688..    x310 - 4.45628648004517*b334 =L= 0;

e689..    x311 - 4.45628648004517*b335 =L= 0;

e690..  - 0.75*x318 + x326 + b336 =L= 1;

e691..  - 0.75*x319 + x327 + b337 =L= 1;

e692..  - 0.75*x318 + x326 - b336 =G= -1;

e693..  - 0.75*x319 + x327 - b337 =G= -1;

e694..    x318 - 4.45628648004517*b336 =L= 0;

e695..    x319 - 4.45628648004517*b337 =L= 0;

e696..    x326 - 3.34221486003388*b336 =L= 0;

e697..    x327 - 3.34221486003388*b337 =L= 0;

e698.. -1.5*log(1 + x320) + x328 + b338 =L= 1;

e699.. -1.5*log(1 + x321) + x329 + b339 =L= 1;

e700..    x320 - 4.45628648004517*b338 =L= 0;

e701..    x321 - 4.45628648004517*b339 =L= 0;

e702..    x328 - 2.54515263975353*b338 =L= 0;

e703..    x329 - 2.54515263975353*b339 =L= 0;

e704..  - x322 + x330 + b340 =L= 1;

e705..  - x323 + x331 + b341 =L= 1;

e706..  - x322 + x330 - b340 =G= -1;

e707..  - x323 + x331 - b341 =G= -1;

e708..  - 0.5*x324 + x330 + b340 =L= 1;

e709..  - 0.5*x325 + x331 + b341 =L= 1;

e710..  - 0.5*x324 + x330 - b340 =G= -1;

e711..  - 0.5*x325 + x331 - b341 =G= -1;

e712..    x322 - 4.45628648004517*b340 =L= 0;

e713..    x323 - 4.45628648004517*b341 =L= 0;

e714..    x324 - 30*b340 =L= 0;

e715..    x325 - 30*b341 =L= 0;

e716..    x330 - 15*b340 =L= 0;

e717..    x331 - 15*b341 =L= 0;

e718..    5*b342 + x352 =L= 0;

e719..    4*b343 + x353 =L= 0;

e720..    8*b344 + x354 =L= 0;

e721..    7*b345 + x355 =L= 0;

e722..    6*b346 + x356 =L= 0;

e723..    9*b347 + x357 =L= 0;

e724..    10*b348 + x358 =L= 0;

e725..    9*b349 + x359 =L= 0;

e726..    6*b350 + x360 =L= 0;

e727..    10*b351 + x361 =L= 0;

e728..    5*b342 + x352 =G= 0;

e729..    4*b343 + x353 =G= 0;

e730..    8*b344 + x354 =G= 0;

e731..    7*b345 + x355 =G= 0;

e732..    6*b346 + x356 =G= 0;

e733..    9*b347 + x357 =G= 0;

e734..    10*b348 + x358 =G= 0;

e735..    9*b349 + x359 =G= 0;

e736..    6*b350 + x360 =G= 0;

e737..    10*b351 + x361 =G= 0;

e738..    b332 - b333 =L= 0;

e739..    b334 - b335 =L= 0;

e740..    b336 - b337 =L= 0;

e741..    b338 - b339 =L= 0;

e742..    b340 - b341 =L= 0;

e743..    b342 + b343 =L= 1;

e744..    b342 + b343 =L= 1;

e745..    b344 + b345 =L= 1;

e746..    b344 + b345 =L= 1;

e747..    b346 + b347 =L= 1;

e748..    b346 + b347 =L= 1;

e749..    b348 + b349 =L= 1;

e750..    b348 + b349 =L= 1;

e751..    b350 + b351 =L= 1;

e752..    b350 + b351 =L= 1;

e753..    b332 - b342 =L= 0;

e754..  - b332 + b333 - b343 =L= 0;

e755..    b334 - b344 =L= 0;

e756..  - b334 + b335 - b345 =L= 0;

e757..    b336 - b346 =L= 0;

e758..  - b336 + b337 - b347 =L= 0;

e759..    b338 - b348 =L= 0;

e760..  - b338 + b339 - b349 =L= 0;

e761..    b340 - b350 =L= 0;

e762..  - b340 + b341 - b351 =L= 0;

e763..    b332 + b334 =E= 1;

e764..    b333 + b335 =E= 1;

e765..    b332 + b334 - b336 =G= 0;

e766..    b333 + b335 - b337 =G= 0;

e767..    b332 + b334 - b338 =G= 0;

e768..    b333 + b335 - b339 =G= 0;

e769..    b332 + b334 - b340 =G= 0;

e770..    b333 + b335 - b341 =G= 0;

* set non-default bounds
x302.up = 40;
x303.up = 40;
x324.up = 30;
x325.up = 30;

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% maximizing objvar;


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