MINLPLib

A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

Home // Instances // Documentation // Download // Statistics


Instance mpbp_06

Formats ams gms lp mod nl osil pip py
Primal Bounds (infeas ≤ 1e-08)  
Other points (infeas > 1e-08)  
Dual Bounds  
References Ovalle, Daniel, Bhatia, Arsh, Laird, Carl D, and Grossmann, I E, A Logic-Based Decomposition for the Global Optimization of the Multiperiod Blending Problem Using Symmetry-Breaking Cuts, Industrial & Engineering Chemistry Research, 65:7, 2026, 3981-3998.
Application Multiperiod Blend Scheduling
Added to library 18 Mar 2026
Problem type MBQCP
#Variables 318
#Binary Variables 96
#Integer Variables 0
#Nonlinear Variables 140
#Nonlinear Binary Variables 0
#Nonlinear Integer Variables 0
Objective Sense max
Objective type linear
Objective curvature linear
#Nonzeros in Objective 192
#Nonlinear Nonzeros in Objective 0
#Constraints 530
#Linear Constraints 470
#Quadratic Constraints 60
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 0
Operands in Gen. Nonlin. Functions  
Constraints curvature indefinite
#Nonzeros in Jacobian 1647
#Nonlinear Nonzeros in Jacobian 440
#Nonzeros in (Upper-Left) Hessian of Lagrangian 320
#Nonzeros in Diagonal of Hessian of Lagrangian 0
#Blocks in Hessian of Lagrangian 30
Minimal blocksize in Hessian of Lagrangian 3
Maximal blocksize in Hessian of Lagrangian 5
Average blocksize in Hessian of Lagrangian 4.666667
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Minimal coefficient 1.0000e+00
Maximal coefficient 5.0000e+01
Infeasibility of initial point 35
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
*       531      115        0      416        0        0        0        0
*
* Variable counts
*                  x        b        i      s1s      s2s       sc       si
*     Total     cont   binary  integer     sos1     sos2    scont     sint
*       319      223       96        0        0        0        0        0
* FX     24
*
* Nonzero counts
*     Total    const       NL
*      1840     1400      440

* Solve m using MINLP maximizing objvar;

Variables
    b1,b2,b3,b4,b5,b6,b7,b8,b9,b10,b11,b12,b13,b14,b15,b16,b17,b18,b19,b20,b21,
    b22,b23,b24,b25,b26,b27,b28,b29,b30,b31,b32,b33,b34,b35,b36,b37,b38,b39,b40,
    b41,b42,b43,b44,b45,b46,b47,b48,b49,b50,b51,b52,b53,b54,b55,b56,b57,b58,b59,
    b60,b61,b62,b63,b64,b65,b66,b67,b68,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,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,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,objvar,x319;

Binary Variables
    b1,b2,b3,b4,b5,b6,b7,b8,b9,b10,b11,b12,b13,b14,b15,b16,b17,b18,b19,b20,b21,
    b22,b23,b24,b25,b26,b27,b28,b29,b30,b31,b32,b33,b34,b35,b36,b37,b38,b39,b40,
    b41,b42,b43,b44,b45,b46,b47,b48,b49,b50,b51,b52,b53,b54,b55,b56,b57,b58,b59,
    b60,b61,b62,b63,b64,b65,b66,b67,b68,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;

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;

e1..  b1 - x97 =L= 0;
e2..  b2 - x98 =L= 0;
e3..  b3 - x99 =L= 0;
e4..  b4 - x100 =L= 0;
e5..  b5 - x101 =L= 0;
e6..  b6 - x102 =L= 0;
e7..  b7 - x103 =L= 0;
e8..  b8 - x104 =L= 0;
e9..  b9 - x105 =L= 0;
e10..  b10 - x106 =L= 0;
e11..  b11 - x107 =L= 0;
e12..  b12 - x108 =L= 0;
e13..  b13 - x109 =L= 0;
e14..  b14 - x110 =L= 0;
e15..  b15 - x111 =L= 0;
e16..  b16 - x112 =L= 0;
e17..  b17 - x113 =L= 0;
e18..  b18 - x114 =L= 0;
e19..  b19 - x115 =L= 0;
e20..  b20 - x116 =L= 0;
e21..  b21 - x117 =L= 0;
e22..  b22 - x118 =L= 0;
e23..  b23 - x119 =L= 0;
e24..  b24 - x120 =L= 0;
e25..  b25 - x121 =L= 0;
e26..  b26 - x122 =L= 0;
e27..  b27 - x123 =L= 0;
e28..  b28 - x124 =L= 0;
e29..  b29 - x125 =L= 0;
e30..  b30 - x126 =L= 0;
e31..  b31 - x127 =L= 0;
e32..  b32 - x128 =L= 0;
e33..  b33 - x129 =L= 0;
e34..  b34 - x130 =L= 0;
e35..  b35 - x131 =L= 0;
e36..  b36 - x132 =L= 0;
e37..  b37 - x133 =L= 0;
e38..  b38 - x134 =L= 0;
e39..  b39 - x135 =L= 0;
e40..  b40 - x136 =L= 0;
e41..  b41 - x137 =L= 0;
e42..  b42 - x138 =L= 0;
e43..  b43 - x139 =L= 0;
e44..  b44 - x140 =L= 0;
e45..  b45 - x141 =L= 0;
e46..  b46 - x142 =L= 0;
e47..  b47 - x143 =L= 0;
e48..  b48 - x144 =L= 0;
e49..  b49 - x145 =L= 0;
e50..  b50 - x146 =L= 0;
e51..  b51 - x147 =L= 0;
e52..  b52 - x148 =L= 0;
e53..  b53 - x149 =L= 0;
e54..  b54 - x150 =L= 0;
e55..  b55 - x151 =L= 0;
e56..  b56 - x152 =L= 0;
e57..  b57 - x153 =L= 0;
e58..  b58 - x154 =L= 0;
e59..  b59 - x155 =L= 0;
e60..  b60 - x156 =L= 0;
e61..  b61 - x157 =L= 0;
e62..  b62 - x158 =L= 0;
e63..  b63 - x159 =L= 0;
e64..  b64 - x160 =L= 0;
e65..  b65 - x161 =L= 0;
e66..  b66 - x162 =L= 0;
e67..  b67 - x163 =L= 0;
e68..  b68 - x164 =L= 0;
e69..  b69 - x165 =L= 0;
e70..  b70 - x166 =L= 0;
e71..  b71 - x167 =L= 0;
e72..  b72 - x168 =L= 0;
e73..  b73 - x169 =L= 0;
e74..  b74 - x170 =L= 0;
e75..  b75 - x171 =L= 0;
e76..  b76 - x172 =L= 0;
e77..  b77 - x173 =L= 0;
e78..  b78 - x174 =L= 0;
e79..  b79 - x175 =L= 0;
e80..  b80 - x176 =L= 0;
e81..  b81 - x177 =L= 0;
e82..  b82 - x178 =L= 0;
e83..  b83 - x179 =L= 0;
e84..  b84 - x180 =L= 0;
e85..  b85 - x181 =L= 0;
e86..  b86 - x182 =L= 0;
e87..  b87 - x183 =L= 0;
e88..  b88 - x184 =L= 0;
e89..  b89 - x185 =L= 0;
e90..  b90 - x186 =L= 0;
e91..  b91 - x187 =L= 0;
e92..  b92 - x188 =L= 0;
e93..  b93 - x189 =L= 0;
e94..  b94 - x190 =L= 0;
e95..  b95 - x191 =L= 0;
e96..  b96 - x192 =L= 0;
e97..  -50 * b1 + x97 =L= 0;
e98..  -50 * b2 + x98 =L= 0;
e99..  -50 * b3 + x99 =L= 0;
e100..  -50 * b4 + x100 =L= 0;
e101..  -50 * b5 + x101 =L= 0;
e102..  -50 * b6 + x102 =L= 0;
e103..  -50 * b7 + x103 =L= 0;
e104..  -50 * b8 + x104 =L= 0;
e105..  -50 * b9 + x105 =L= 0;
e106..  -50 * b10 + x106 =L= 0;
e107..  -50 * b11 + x107 =L= 0;
e108..  -50 * b12 + x108 =L= 0;
e109..  -50 * b13 + x109 =L= 0;
e110..  -50 * b14 + x110 =L= 0;
e111..  -50 * b15 + x111 =L= 0;
e112..  -50 * b16 + x112 =L= 0;
e113..  -50 * b17 + x113 =L= 0;
e114..  -50 * b18 + x114 =L= 0;
e115..  -50 * b19 + x115 =L= 0;
e116..  -50 * b20 + x116 =L= 0;
e117..  -50 * b21 + x117 =L= 0;
e118..  -50 * b22 + x118 =L= 0;
e119..  -50 * b23 + x119 =L= 0;
e120..  -50 * b24 + x120 =L= 0;
e121..  -50 * b25 + x121 =L= 0;
e122..  -50 * b26 + x122 =L= 0;
e123..  -50 * b27 + x123 =L= 0;
e124..  -50 * b28 + x124 =L= 0;
e125..  -50 * b29 + x125 =L= 0;
e126..  -50 * b30 + x126 =L= 0;
e127..  -50 * b31 + x127 =L= 0;
e128..  -50 * b32 + x128 =L= 0;
e129..  -50 * b33 + x129 =L= 0;
e130..  -50 * b34 + x130 =L= 0;
e131..  -50 * b35 + x131 =L= 0;
e132..  -50 * b36 + x132 =L= 0;
e133..  -50 * b37 + x133 =L= 0;
e134..  -50 * b38 + x134 =L= 0;
e135..  -50 * b39 + x135 =L= 0;
e136..  -50 * b40 + x136 =L= 0;
e137..  -50 * b41 + x137 =L= 0;
e138..  -50 * b42 + x138 =L= 0;
e139..  -50 * b43 + x139 =L= 0;
e140..  -50 * b44 + x140 =L= 0;
e141..  -50 * b45 + x141 =L= 0;
e142..  -50 * b46 + x142 =L= 0;
e143..  -50 * b47 + x143 =L= 0;
e144..  -50 * b48 + x144 =L= 0;
e145..  -50 * b49 + x145 =L= 0;
e146..  -50 * b50 + x146 =L= 0;
e147..  -50 * b51 + x147 =L= 0;
e148..  -50 * b52 + x148 =L= 0;
e149..  -50 * b53 + x149 =L= 0;
e150..  -50 * b54 + x150 =L= 0;
e151..  -50 * b55 + x151 =L= 0;
e152..  -50 * b56 + x152 =L= 0;
e153..  -50 * b57 + x153 =L= 0;
e154..  -50 * b58 + x154 =L= 0;
e155..  -50 * b59 + x155 =L= 0;
e156..  -50 * b60 + x156 =L= 0;
e157..  -50 * b61 + x157 =L= 0;
e158..  -50 * b62 + x158 =L= 0;
e159..  -50 * b63 + x159 =L= 0;
e160..  -50 * b64 + x160 =L= 0;
e161..  -50 * b65 + x161 =L= 0;
e162..  -50 * b66 + x162 =L= 0;
e163..  -50 * b67 + x163 =L= 0;
e164..  -50 * b68 + x164 =L= 0;
e165..  -50 * b69 + x165 =L= 0;
e166..  -50 * b70 + x166 =L= 0;
e167..  -50 * b71 + x167 =L= 0;
e168..  -50 * b72 + x168 =L= 0;
e169..  -50 * b73 + x169 =L= 0;
e170..  -50 * b74 + x170 =L= 0;
e171..  -50 * b75 + x171 =L= 0;
e172..  -50 * b76 + x172 =L= 0;
e173..  -50 * b77 + x173 =L= 0;
e174..  -50 * b78 + x174 =L= 0;
e175..  -50 * b79 + x175 =L= 0;
e176..  -50 * b80 + x176 =L= 0;
e177..  -50 * b81 + x177 =L= 0;
e178..  -50 * b82 + x178 =L= 0;
e179..  -50 * b83 + x179 =L= 0;
e180..  -50 * b84 + x180 =L= 0;
e181..  -50 * b85 + x181 =L= 0;
e182..  -50 * b86 + x182 =L= 0;
e183..  -50 * b87 + x183 =L= 0;
e184..  -50 * b88 + x184 =L= 0;
e185..  -50 * b89 + x185 =L= 0;
e186..  -50 * b90 + x186 =L= 0;
e187..  -50 * b91 + x187 =L= 0;
e188..  -50 * b92 + x188 =L= 0;
e189..  -50 * b93 + x189 =L= 0;
e190..  -50 * b94 + x190 =L= 0;
e191..  -50 * b95 + x191 =L= 0;
e192..  -50 * b96 + x192 =L= 0;
e193..  3.66 * b38 - x193 =L= 3.66;
e194..  3.66 * b39 - x194 =L= 3.66;
e195..  3.66 * b40 - x195 =L= 3.66;
e196..  3.66 * b41 - x196 =L= 3.66;
e197..  3.66 * b42 - x197 =L= 3.66;
e198..  3.66 * b44 - x193 =L= 3.66;
e199..  3.66 * b45 - x194 =L= 3.66;
e200..  3.66 * b46 - x195 =L= 3.66;
e201..  3.66 * b47 - x196 =L= 3.66;
e202..  3.66 * b48 - x197 =L= 3.66;
e203..  3.66 * b50 - x198 =L= 3.66;
e204..  3.66 * b51 - x199 =L= 3.66;
e205..  3.66 * b52 - x200 =L= 3.66;
e206..  3.66 * b53 - x201 =L= 3.66;
e207..  3.66 * b54 - x202 =L= 3.66;
e208..  3.66 * b56 - x198 =L= 3.66;
e209..  3.66 * b57 - x199 =L= 3.66;
e210..  3.66 * b58 - x200 =L= 3.66;
e211..  3.66 * b59 - x201 =L= 3.66;
e212..  3.66 * b60 - x202 =L= 3.66;
e213..  3.14 * b38 - x203 =L= 3.14;
e214..  3.14 * b39 - x204 =L= 3.14;
e215..  3.14 * b40 - x205 =L= 3.14;
e216..  3.14 * b41 - x206 =L= 3.14;
e217..  3.14 * b42 - x207 =L= 3.14;
e218..  3.14 * b44 - x203 =L= 3.14;
e219..  3.14 * b45 - x204 =L= 3.14;
e220..  3.14 * b46 - x205 =L= 3.14;
e221..  3.14 * b47 - x206 =L= 3.14;
e222..  3.14 * b48 - x207 =L= 3.14;
e223..  3.14 * b50 - x208 =L= 3.14;
e224..  3.14 * b51 - x209 =L= 3.14;
e225..  3.14 * b52 - x210 =L= 3.14;
e226..  3.14 * b53 - x211 =L= 3.14;
e227..  3.14 * b54 - x212 =L= 3.14;
e228..  3.14 * b56 - x208 =L= 3.14;
e229..  3.14 * b57 - x209 =L= 3.14;
e230..  3.14 * b58 - x210 =L= 3.14;
e231..  3.14 * b59 - x211 =L= 3.14;
e232..  3.14 * b60 - x212 =L= 3.14;
e233..  3.66 * b38 + x193 =L= 7.32;
e234..  3.66 * b39 + x194 =L= 7.32;
e235..  3.66 * b40 + x195 =L= 7.32;
e236..  3.66 * b41 + x196 =L= 7.32;
e237..  3.66 * b42 + x197 =L= 7.32;
e238..  3.66 * b44 + x193 =L= 7.04;
e239..  3.66 * b45 + x194 =L= 7.04;
e240..  3.66 * b46 + x195 =L= 7.04;
e241..  3.66 * b47 + x196 =L= 7.04;
e242..  3.66 * b48 + x197 =L= 7.04;
e243..  3.66 * b50 + x198 =L= 7.32;
e244..  3.66 * b51 + x199 =L= 7.32;
e245..  3.66 * b52 + x200 =L= 7.32;
e246..  3.66 * b53 + x201 =L= 7.32;
e247..  3.66 * b54 + x202 =L= 7.32;
e248..  3.66 * b56 + x198 =L= 7.04;
e249..  3.66 * b57 + x199 =L= 7.04;
e250..  3.66 * b58 + x200 =L= 7.04;
e251..  3.66 * b59 + x201 =L= 7.04;
e252..  3.66 * b60 + x202 =L= 7.04;
e253..  3.14 * b38 + x203 =L= 6.800000000000001;
e254..  3.14 * b39 + x204 =L= 6.800000000000001;
e255..  3.14 * b40 + x205 =L= 6.800000000000001;
e256..  3.14 * b41 + x206 =L= 6.800000000000001;
e257..  3.14 * b42 + x207 =L= 6.800000000000001;
e258..  3.14 * b44 + x203 =L= 6.470000000000001;
e259..  3.14 * b45 + x204 =L= 6.470000000000001;
e260..  3.14 * b46 + x205 =L= 6.470000000000001;
e261..  3.14 * b47 + x206 =L= 6.470000000000001;
e262..  3.14 * b48 + x207 =L= 6.470000000000001;
e263..  3.14 * b50 + x208 =L= 6.800000000000001;
e264..  3.14 * b51 + x209 =L= 6.800000000000001;
e265..  3.14 * b52 + x210 =L= 6.800000000000001;
e266..  3.14 * b53 + x211 =L= 6.800000000000001;
e267..  3.14 * b54 + x212 =L= 6.800000000000001;
e268..  3.14 * b56 + x208 =L= 6.470000000000001;
e269..  3.14 * b57 + x209 =L= 6.470000000000001;
e270..  3.14 * b58 + x210 =L= 6.470000000000001;
e271..  3.14 * b59 + x211 =L= 6.470000000000001;
e272..  3.14 * b60 + x212 =L= 6.470000000000001;
e273..  x157 + x163 + x169 + x213 =E= 32;
e274..  x158 + x164 + x170 - x213 + x214 =E= 35;
e275..  x159 + x165 + x171 - x214 + x215 =E= 10;
e276..  x160 + x166 + x172 - x215 + x216 =E= 15;
e277..  x161 + x167 + x173 - x216 + x217 =E= 14;
e278..  x162 + x168 + x174 - x217 + x218 =E= 0;
e279..  x175 + x181 + x187 + x219 =E= 35;
e280..  x176 + x182 + x188 - x219 + x220 =E= 16;
e281..  x177 + x183 + x189 - x220 + x221 =E= 25;
e282..  x178 + x184 + x190 - x221 + x222 =E= 35;
e283..  x179 + x185 + x191 - x222 + x223 =E= 29;
e284..  x180 + x186 + x192 - x223 + x224 =E= 0;
e285..  x97 + x103 - x157 - x175 + x225 =E= 0;
e286..  x98 + x104 - x158 - x176 - x225 + x226 =E= 0;
e287..  x99 + x105 - x159 - x177 - x226 + x227 =E= 0;
e288..  x100 + x106 - x160 - x178 - x227 + x228 =E= 0;
e289..  x101 + x107 - x161 - x179 - x228 + x229 =E= 0;
e290..  x102 + x108 - x162 - x180 - x229 + x230 =E= 0;
e291..  x109 + x115 - x163 - x181 + x231 =E= 0;
e292..  x110 + x116 - x164 - x182 - x231 + x232 =E= 0;
e293..  x111 + x117 - x165 - x183 - x232 + x233 =E= 0;
e294..  x112 + x118 - x166 - x184 - x233 + x234 =E= 0;
e295..  x113 + x119 - x167 - x185 - x234 + x235 =E= 0;
e296..  x114 + x120 - x168 - x186 - x235 + x236 =E= 0;
e297..  x121 + x127 - x169 - x187 + x237 =E= 0;
e298..  x122 + x128 - x170 - x188 - x237 + x238 =E= 0;
e299..  x123 + x129 - x171 - x189 - x238 + x239 =E= 0;
e300..  x124 + x130 - x172 - x190 - x239 + x240 =E= 0;
e301..  x125 + x131 - x173 - x191 - x240 + x241 =E= 0;
e302..  x126 + x132 - x174 - x192 - x241 + x242 =E= 0;
e303..  -x97 - x109 - x121 + x133 + x139 + x243 =E= 0;
e304..  -x98 - x110 - x122 + x134 + x140 - x243 + x244 =E= 0;
e305..  -x99 - x111 - x123 + x135 + x141 - x244 + x245 =E= 0;
e306..  -x100 - x112 - x124 + x136 + x142 - x245 + x246 =E= 0;
e307..  -x101 - x113 - x125 + x137 + x143 - x246 + x247 =E= 0;
e308..  -x102 - x114 - x126 + x138 + x144 - x247 + x248 =E= 0;
e309..  -x103 - x115 - x127 + x145 + x151 + x249 =E= 0;
e310..  -x104 - x116 - x128 + x146 + x152 - x249 + x250 =E= 0;
e311..  -x105 - x117 - x129 + x147 + x153 - x250 + x251 =E= 0;
e312..  -x106 - x118 - x130 + x148 + x154 - x251 + x252 =E= 0;
e313..  -x107 - x119 - x131 + x149 + x155 - x252 + x253 =E= 0;
e314..  -x108 - x120 - x132 + x150 + x156 - x253 + x254 =E= 0;
e315..  -x133 - x145 + x255 + x256 =E= 0;
e316..  -x134 - x146 - x255 + x257 + x258 =E= 0;
e317..  -x135 - x147 - x257 + x259 + x260 =E= 0;
e318..  -x136 - x148 - x259 + x261 + x262 =E= 0;
e319..  -x137 - x149 - x261 + x263 + x264 =E= 0;
e320..  -x138 - x150 - x263 + x265 + x266 =E= 0;
e321..  -x139 - x151 + x267 + x268 =E= 0;
e322..  -x140 - x152 - x267 + x269 + x270 =E= 0;
e323..  -x141 - x153 - x269 + x271 + x272 =E= 0;
e324..  -x142 - x154 - x271 + x273 + x274 =E= 0;
e325..  -x143 - x155 - x273 + x275 + x276 =E= 0;
e326..  -x144 - x156 - x275 + x277 + x319 =E= 0;
e327..  x225 * x278 - 3.66 * x157 - 2.74 * x175 =E= 0;
e328..  x226 * x279 - x225 * x278 + x98 * x278 + x104 * x278 - 3.66 * x158 -
        2.74 * x176 =E= 0;
e329..  x227 * x280 - x226 * x279 + x99 * x279 + x105 * x279 - 3.66 * x159 -
        2.74 * x177 =E= 0;
e330..  x228 * x281 - x227 * x280 + x100 * x280 + x106 * x280 - 3.66 * x160 -
        2.74 * x178 =E= 0;
e331..  x229 * x282 - x228 * x281 + x101 * x281 + x107 * x281 - 3.66 * x161 -
        2.74 * x179 =E= 0;
e332..  x230 * x283 - x229 * x282 + x102 * x282 + x108 * x282 - 3.66 * x162 -
        2.74 * x180 =E= 0;
e333..  x231 * x284 - 3.66 * x163 - 2.74 * x181 =E= 0;
e334..  x232 * x285 - x231 * x284 + x110 * x284 + x116 * x284 - 3.66 * x164 -
        2.74 * x182 =E= 0;
e335..  x233 * x286 - x232 * x285 + x111 * x285 + x117 * x285 - 3.66 * x165 -
        2.74 * x183 =E= 0;
e336..  x234 * x287 - x233 * x286 + x112 * x286 + x118 * x286 - 3.66 * x166 -
        2.74 * x184 =E= 0;
e337..  x235 * x288 - x234 * x287 + x113 * x287 + x119 * x287 - 3.66 * x167 -
        2.74 * x185 =E= 0;
e338..  x236 * x289 - x235 * x288 + x114 * x288 + x120 * x288 - 3.66 * x168 -
        2.74 * x186 =E= 0;
e339..  x237 * x290 - 3.66 * x169 - 2.74 * x187 =E= 0;
e340..  x238 * x291 - x237 * x290 + x122 * x290 + x128 * x290 - 3.66 * x170 -
        2.74 * x188 =E= 0;
e341..  x239 * x292 - x238 * x291 + x123 * x291 + x129 * x291 - 3.66 * x171 -
        2.74 * x189 =E= 0;
e342..  x240 * x293 - x239 * x292 + x124 * x292 + x130 * x292 - 3.66 * x172 -
        2.74 * x190 =E= 0;
e343..  x241 * x294 - x240 * x293 + x125 * x293 + x131 * x293 - 3.66 * x173 -
        2.74 * x191 =E= 0;
e344..  x242 * x295 - x241 * x294 + x126 * x294 + x132 * x294 - 3.66 * x174 -
        2.74 * x192 =E= 0;
e345..  x243 * x193 =E= 0;
e346..  x244 * x194 - x98 * x278 - x110 * x284 - x122 * x290 - x243 * x193 - (-
        x134 * x193 - x140 * x193) =E= 0;
e347..  x245 * x195 - x99 * x279 - x111 * x285 - x123 * x291 - x244 * x194 - (-
        x135 * x194 - x141 * x194) =E= 0;
e348..  x246 * x196 - x100 * x280 - x112 * x286 - x124 * x292 - x245 * x195 - (
        -x136 * x195 - x142 * x195) =E= 0;
e349..  x247 * x197 - x101 * x281 - x113 * x287 - x125 * x293 - x246 * x196 - (
        -x137 * x196 - x143 * x196) =E= 0;
e350..  x248 * x296 - x102 * x282 - x114 * x288 - x126 * x294 - x247 * x197 - (
        -x138 * x197 - x144 * x197) =E= 0;
e351..  x249 * x198 =E= 0;
e352..  x250 * x199 - x104 * x278 - x116 * x284 - x128 * x290 - x249 * x198 - (
        -x146 * x198 - x152 * x198) =E= 0;
e353..  x251 * x200 - x105 * x279 - x117 * x285 - x129 * x291 - x250 * x199 - (
        -x147 * x199 - x153 * x199) =E= 0;
e354..  x252 * x201 - x106 * x280 - x118 * x286 - x130 * x292 - x251 * x200 - (
        -x148 * x200 - x154 * x200) =E= 0;
e355..  x253 * x202 - x107 * x281 - x119 * x287 - x131 * x293 - x252 * x201 - (
        -x149 * x201 - x155 * x201) =E= 0;
e356..  x254 * x297 - x108 * x282 - x120 * x288 - x132 * x294 - x253 * x202 - (
        -x150 * x202 - x156 * x202) =E= 0;
e357..  x225 * x298 - 3.14 * x157 - 2.93 * x175 =E= 0;
e358..  x226 * x299 - x225 * x298 + x98 * x298 + x104 * x298 - 3.14 * x158 -
        2.93 * x176 =E= 0;
e359..  x227 * x300 - x226 * x299 + x99 * x299 + x105 * x299 - 3.14 * x159 -
        2.93 * x177 =E= 0;
e360..  x228 * x301 - x227 * x300 + x100 * x300 + x106 * x300 - 3.14 * x160 -
        2.93 * x178 =E= 0;
e361..  x229 * x302 - x228 * x301 + x101 * x301 + x107 * x301 - 3.14 * x161 -
        2.93 * x179 =E= 0;
e362..  x230 * x303 - x229 * x302 + x102 * x302 + x108 * x302 - 3.14 * x162 -
        2.93 * x180 =E= 0;
e363..  x231 * x304 - 3.14 * x163 - 2.93 * x181 =E= 0;
e364..  x232 * x305 - x231 * x304 + x110 * x304 + x116 * x304 - 3.14 * x164 -
        2.93 * x182 =E= 0;
e365..  x233 * x306 - x232 * x305 + x111 * x305 + x117 * x305 - 3.14 * x165 -
        2.93 * x183 =E= 0;
e366..  x234 * x307 - x233 * x306 + x112 * x306 + x118 * x306 - 3.14 * x166 -
        2.93 * x184 =E= 0;
e367..  x235 * x308 - x234 * x307 + x113 * x307 + x119 * x307 - 3.14 * x167 -
        2.93 * x185 =E= 0;
e368..  x236 * x309 - x235 * x308 + x114 * x308 + x120 * x308 - 3.14 * x168 -
        2.93 * x186 =E= 0;
e369..  x237 * x310 - 3.14 * x169 - 2.93 * x187 =E= 0;
e370..  x238 * x311 - x237 * x310 + x122 * x310 + x128 * x310 - 3.14 * x170 -
        2.93 * x188 =E= 0;
e371..  x239 * x312 - x238 * x311 + x123 * x311 + x129 * x311 - 3.14 * x171 -
        2.93 * x189 =E= 0;
e372..  x240 * x313 - x239 * x312 + x124 * x312 + x130 * x312 - 3.14 * x172 -
        2.93 * x190 =E= 0;
e373..  x241 * x314 - x240 * x313 + x125 * x313 + x131 * x313 - 3.14 * x173 -
        2.93 * x191 =E= 0;
e374..  x242 * x315 - x241 * x314 + x126 * x314 + x132 * x314 - 3.14 * x174 -
        2.93 * x192 =E= 0;
e375..  x243 * x203 =E= 0;
e376..  x244 * x204 - x98 * x298 - x110 * x304 - x122 * x310 - x243 * x203 - (-
        x134 * x203 - x140 * x203) =E= 0;
e377..  x245 * x205 - x99 * x299 - x111 * x305 - x123 * x311 - x244 * x204 - (-
        x135 * x204 - x141 * x204) =E= 0;
e378..  x246 * x206 - x100 * x300 - x112 * x306 - x124 * x312 - x245 * x205 - (
        -x136 * x205 - x142 * x205) =E= 0;
e379..  x247 * x207 - x101 * x301 - x113 * x307 - x125 * x313 - x246 * x206 - (
        -x137 * x206 - x143 * x206) =E= 0;
e380..  x248 * x316 - x102 * x302 - x114 * x308 - x126 * x314 - x247 * x207 - (
        -x138 * x207 - x144 * x207) =E= 0;
e381..  x249 * x208 =E= 0;
e382..  x250 * x209 - x104 * x298 - x116 * x304 - x128 * x310 - x249 * x208 - (
        -x146 * x208 - x152 * x208) =E= 0;
e383..  x251 * x210 - x105 * x299 - x117 * x305 - x129 * x311 - x250 * x209 - (
        -x147 * x209 - x153 * x209) =E= 0;
e384..  x252 * x211 - x106 * x300 - x118 * x306 - x130 * x312 - x251 * x210 - (
        -x148 * x210 - x154 * x210) =E= 0;
e385..  x253 * x212 - x107 * x301 - x119 * x307 - x131 * x313 - x252 * x211 - (
        -x149 * x211 - x155 * x211) =E= 0;
e386..  x254 * x317 - x108 * x302 - x120 * x308 - x132 * x314 - x253 * x212 - (
        -x150 * x212 - x156 * x212) =E= 0;
e387..  b1 + b37 =L= 1;
e388..  b2 + b38 =L= 1;
e389..  b3 + b39 =L= 1;
e390..  b4 + b40 =L= 1;
e391..  b5 + b41 =L= 1;
e392..  b6 + b42 =L= 1;
e393..  b1 + b43 =L= 1;
e394..  b2 + b44 =L= 1;
e395..  b3 + b45 =L= 1;
e396..  b4 + b46 =L= 1;
e397..  b5 + b47 =L= 1;
e398..  b6 + b48 =L= 1;
e399..  b7 + b49 =L= 1;
e400..  b8 + b50 =L= 1;
e401..  b9 + b51 =L= 1;
e402..  b10 + b52 =L= 1;
e403..  b11 + b53 =L= 1;
e404..  b12 + b54 =L= 1;
e405..  b7 + b55 =L= 1;
e406..  b8 + b56 =L= 1;
e407..  b9 + b57 =L= 1;
e408..  b10 + b58 =L= 1;
e409..  b11 + b59 =L= 1;
e410..  b12 + b60 =L= 1;
e411..  b13 + b37 =L= 1;
e412..  b14 + b38 =L= 1;
e413..  b15 + b39 =L= 1;
e414..  b16 + b40 =L= 1;
e415..  b17 + b41 =L= 1;
e416..  b18 + b42 =L= 1;
e417..  b13 + b43 =L= 1;
e418..  b14 + b44 =L= 1;
e419..  b15 + b45 =L= 1;
e420..  b16 + b46 =L= 1;
e421..  b17 + b47 =L= 1;
e422..  b18 + b48 =L= 1;
e423..  b19 + b49 =L= 1;
e424..  b20 + b50 =L= 1;
e425..  b21 + b51 =L= 1;
e426..  b22 + b52 =L= 1;
e427..  b23 + b53 =L= 1;
e428..  b24 + b54 =L= 1;
e429..  b19 + b55 =L= 1;
e430..  b20 + b56 =L= 1;
e431..  b21 + b57 =L= 1;
e432..  b22 + b58 =L= 1;
e433..  b23 + b59 =L= 1;
e434..  b24 + b60 =L= 1;
e435..  b25 + b37 =L= 1;
e436..  b26 + b38 =L= 1;
e437..  b27 + b39 =L= 1;
e438..  b28 + b40 =L= 1;
e439..  b29 + b41 =L= 1;
e440..  b30 + b42 =L= 1;
e441..  b25 + b43 =L= 1;
e442..  b26 + b44 =L= 1;
e443..  b27 + b45 =L= 1;
e444..  b28 + b46 =L= 1;
e445..  b29 + b47 =L= 1;
e446..  b30 + b48 =L= 1;
e447..  b31 + b49 =L= 1;
e448..  b32 + b50 =L= 1;
e449..  b33 + b51 =L= 1;
e450..  b34 + b52 =L= 1;
e451..  b35 + b53 =L= 1;
e452..  b36 + b54 =L= 1;
e453..  b31 + b55 =L= 1;
e454..  b32 + b56 =L= 1;
e455..  b33 + b57 =L= 1;
e456..  b34 + b58 =L= 1;
e457..  b35 + b59 =L= 1;
e458..  b36 + b60 =L= 1;
e459..  b1 + b61 =L= 1;
e460..  b2 + b62 =L= 1;
e461..  b3 + b63 =L= 1;
e462..  b4 + b64 =L= 1;
e463..  b5 + b65 =L= 1;
e464..  b6 + b66 =L= 1;
e465..  b7 + b61 =L= 1;
e466..  b8 + b62 =L= 1;
e467..  b9 + b63 =L= 1;
e468..  b10 + b64 =L= 1;
e469..  b11 + b65 =L= 1;
e470..  b12 + b66 =L= 1;
e471..  b13 + b67 =L= 1;
e472..  b14 + b68 =L= 1;
e473..  b15 + b69 =L= 1;
e474..  b16 + b70 =L= 1;
e475..  b17 + b71 =L= 1;
e476..  b18 + b72 =L= 1;
e477..  b19 + b67 =L= 1;
e478..  b20 + b68 =L= 1;
e479..  b21 + b69 =L= 1;
e480..  b22 + b70 =L= 1;
e481..  b23 + b71 =L= 1;
e482..  b24 + b72 =L= 1;
e483..  b25 + b73 =L= 1;
e484..  b26 + b74 =L= 1;
e485..  b27 + b75 =L= 1;
e486..  b28 + b76 =L= 1;
e487..  b29 + b77 =L= 1;
e488..  b30 + b78 =L= 1;
e489..  b31 + b73 =L= 1;
e490..  b32 + b74 =L= 1;
e491..  b33 + b75 =L= 1;
e492..  b34 + b76 =L= 1;
e493..  b35 + b77 =L= 1;
e494..  b36 + b78 =L= 1;
e495..  b1 + b79 =L= 1;
e496..  b2 + b80 =L= 1;
e497..  b3 + b81 =L= 1;
e498..  b4 + b82 =L= 1;
e499..  b5 + b83 =L= 1;
e500..  b6 + b84 =L= 1;
e501..  b7 + b79 =L= 1;
e502..  b8 + b80 =L= 1;
e503..  b9 + b81 =L= 1;
e504..  b10 + b82 =L= 1;
e505..  b11 + b83 =L= 1;
e506..  b12 + b84 =L= 1;
e507..  b13 + b85 =L= 1;
e508..  b14 + b86 =L= 1;
e509..  b15 + b87 =L= 1;
e510..  b16 + b88 =L= 1;
e511..  b17 + b89 =L= 1;
e512..  b18 + b90 =L= 1;
e513..  b19 + b85 =L= 1;
e514..  b20 + b86 =L= 1;
e515..  b21 + b87 =L= 1;
e516..  b22 + b88 =L= 1;
e517..  b23 + b89 =L= 1;
e518..  b24 + b90 =L= 1;
e519..  b25 + b91 =L= 1;
e520..  b26 + b92 =L= 1;
e521..  b27 + b93 =L= 1;
e522..  b28 + b94 =L= 1;
e523..  b29 + b95 =L= 1;
e524..  b30 + b96 =L= 1;
e525..  b31 + b91 =L= 1;
e526..  b32 + b92 =L= 1;
e527..  b33 + b93 =L= 1;
e528..  b34 + b94 =L= 1;
e529..  b35 + b95 =L= 1;
e530..  b36 + b96 =L= 1;
e531..  30.250000000000004 * b1 + 30.250000000000004 * b2 + 30.250000000000004
        * b3 + 30.250000000000004 * b4 + 30.250000000000004 * b5 +
        30.250000000000004 * b6 + 30.250000000000004 * b7 + 30.250000000000004
        * b8 + 30.250000000000004 * b9 + 30.250000000000004 * b10 +
        30.250000000000004 * b11 + 30.250000000000004 * b12 +
        30.250000000000004 * b13 + 30.250000000000004 * b14 +
        30.250000000000004 * b15 + 30.250000000000004 * b16 +
        30.250000000000004 * b17 + 30.250000000000004 * b18 +
        30.250000000000004 * b19 + 30.250000000000004 * b20 +
        30.250000000000004 * b21 + 30.250000000000004 * b22 +
        30.250000000000004 * b23 + 30.250000000000004 * b24 +
        30.250000000000004 * b25 + 30.250000000000004 * b26 +
        30.250000000000004 * b27 + 30.250000000000004 * b28 +
        30.250000000000004 * b29 + 30.250000000000004 * b30 +
        30.250000000000004 * b31 + 30.250000000000004 * b32 +
        30.250000000000004 * b33 + 30.250000000000004 * b34 +
        30.250000000000004 * b35 + 30.250000000000004 * b36 +
        30.250000000000004 * b37 + 30.250000000000004 * b38 +
        30.250000000000004 * b39 + 30.250000000000004 * b40 +
        30.250000000000004 * b41 + 30.250000000000004 * b42 +
        30.250000000000004 * b43 + 30.250000000000004 * b44 +
        30.250000000000004 * b45 + 30.250000000000004 * b46 +
        30.250000000000004 * b47 + 30.250000000000004 * b48 +
        30.250000000000004 * b49 + 30.250000000000004 * b50 +
        30.250000000000004 * b51 + 30.250000000000004 * b52 +
        30.250000000000004 * b53 + 30.250000000000004 * b54 +
        30.250000000000004 * b55 + 30.250000000000004 * b56 +
        30.250000000000004 * b57 + 30.250000000000004 * b58 +
        30.250000000000004 * b59 + 30.250000000000004 * b60 +
        30.250000000000004 * b61 + 30.250000000000004 * b62 +
        30.250000000000004 * b63 + 30.250000000000004 * b64 +
        30.250000000000004 * b65 + 30.250000000000004 * b66 +
        30.250000000000004 * b67 + 30.250000000000004 * b68 +
        30.250000000000004 * b69 + 30.250000000000004 * b70 +
        30.250000000000004 * b71 + 30.250000000000004 * b72 +
        30.250000000000004 * b73 + 30.250000000000004 * b74 +
        30.250000000000004 * b75 + 30.250000000000004 * b76 +
        30.250000000000004 * b77 + 30.250000000000004 * b78 +
        30.250000000000004 * b79 + 30.250000000000004 * b80 +
        30.250000000000004 * b81 + 30.250000000000004 * b82 +
        30.250000000000004 * b83 + 30.250000000000004 * b84 +
        30.250000000000004 * b85 + 30.250000000000004 * b86 +
        30.250000000000004 * b87 + 30.250000000000004 * b88 +
        30.250000000000004 * b89 + 30.250000000000004 * b90 +
        30.250000000000004 * b91 + 30.250000000000004 * b92 +
        30.250000000000004 * b93 + 30.250000000000004 * b94 +
        30.250000000000004 * b95 + 30.250000000000004 * b96 +
        11.495000000000001 * x97 + 11.495000000000001 * x98 +
        11.495000000000001 * x99 + 11.495000000000001 * x100 +
        11.495000000000001 * x101 + 11.495000000000001 * x102 +
        20.570000000000004 * x103 + 20.570000000000004 * x104 +
        20.570000000000004 * x105 + 20.570000000000004 * x106 +
        20.570000000000004 * x107 + 20.570000000000004 * x108 +
        12.100000000000001 * x109 + 12.100000000000001 * x110 +
        12.100000000000001 * x111 + 12.100000000000001 * x112 +
        12.100000000000001 * x113 + 12.100000000000001 * x114 +
        22.082500000000003 * x115 + 22.082500000000003 * x116 +
        22.082500000000003 * x117 + 22.082500000000003 * x118 +
        22.082500000000003 * x119 + 22.082500000000003 * x120 +
        23.897500000000004 * x121 + 23.897500000000004 * x122 +
        23.897500000000004 * x123 + 23.897500000000004 * x124 +
        23.897500000000004 * x125 + 23.897500000000004 * x126 +
        20.267500000000002 * x127 + 20.267500000000002 * x128 +
        20.267500000000002 * x129 + 20.267500000000002 * x130 +
        20.267500000000002 * x131 + 20.267500000000002 * x132 +
        25.267500000000002 * x133 + 25.267500000000002 * x134 +
        25.267500000000002 * x135 + 25.267500000000002 * x136 +
        25.267500000000002 * x137 + 25.267500000000002 * x138 -
        40.177499999999995 * x139 - 40.177499999999995 * x140 -
        40.177499999999995 * x141 - 40.177499999999995 * x142 -
        40.177499999999995 * x143 - 40.177499999999995 * x144 +
        24.965000000000003 * x145 + 24.965000000000003 * x146 +
        24.965000000000003 * x147 + 24.965000000000003 * x148 +
        24.965000000000003 * x149 + 24.965000000000003 * x150 - 49.555 * x151
        - 49.555 * x152 - 49.555 * x153 - 49.555 * x154 - 49.555 * x155 -
        49.555 * x156 + 10.982500000000002 * x157 + 10.982500000000002 * x158
        + 10.982500000000002 * x159 + 10.982500000000002 * x160 +
        10.982500000000002 * x161 + 10.982500000000002 * x162 +
        20.360000000000003 * x163 + 20.360000000000003 * x164 +
        20.360000000000003 * x165 + 20.360000000000003 * x166 +
        20.360000000000003 * x167 + 20.360000000000003 * x168 + 23.385 * x169
        + 23.385 * x170 + 23.385 * x171 + 23.385 * x172 + 23.385 * x173 +
        23.385 * x174 + 26.755000000000003 * x175 + 26.755000000000003 * x176
        + 26.755000000000003 * x177 + 26.755000000000003 * x178 +
        26.755000000000003 * x179 + 26.755000000000003 * x180 + 13.7475 * x181
        + 13.7475 * x182 + 13.7475 * x183 + 13.7475 * x184 + 13.7475 * x185 +
        13.7475 * x186 + 26.755000000000003 * x187 + 26.755000000000003 * x188
        + 26.755000000000003 * x189 + 26.755000000000003 * x190 +
        26.755000000000003 * x191 + 26.755000000000003 * x192 + objvar =E= 0;

* set non-default bounds
x97.lo = 0; x97.up = 50;
x98.lo = 0; x98.up = 50;
x99.lo = 0; x99.up = 50;
x100.lo = 0; x100.up = 50;
x101.lo = 0; x101.up = 50;
x102.lo = 0; x102.up = 50;
x103.lo = 0; x103.up = 50;
x104.lo = 0; x104.up = 50;
x105.lo = 0; x105.up = 50;
x106.lo = 0; x106.up = 50;
x107.lo = 0; x107.up = 50;
x108.lo = 0; x108.up = 50;
x109.lo = 0; x109.up = 50;
x110.lo = 0; x110.up = 50;
x111.lo = 0; x111.up = 50;
x112.lo = 0; x112.up = 50;
x113.lo = 0; x113.up = 50;
x114.lo = 0; x114.up = 50;
x115.lo = 0; x115.up = 50;
x116.lo = 0; x116.up = 50;
x117.lo = 0; x117.up = 50;
x118.lo = 0; x118.up = 50;
x119.lo = 0; x119.up = 50;
x120.lo = 0; x120.up = 50;
x121.lo = 0; x121.up = 50;
x122.lo = 0; x122.up = 50;
x123.lo = 0; x123.up = 50;
x124.lo = 0; x124.up = 50;
x125.lo = 0; x125.up = 50;
x126.lo = 0; x126.up = 50;
x127.lo = 0; x127.up = 50;
x128.lo = 0; x128.up = 50;
x129.lo = 0; x129.up = 50;
x130.lo = 0; x130.up = 50;
x131.lo = 0; x131.up = 50;
x132.lo = 0; x132.up = 50;
x133.lo = 0; x133.up = 50;
x134.lo = 0; x134.up = 50;
x135.lo = 0; x135.up = 50;
x136.lo = 0; x136.up = 50;
x137.lo = 0; x137.up = 50;
x138.lo = 0; x138.up = 50;
x139.lo = 0; x139.up = 50;
x140.lo = 0; x140.up = 50;
x141.lo = 0; x141.up = 50;
x142.lo = 0; x142.up = 50;
x143.lo = 0; x143.up = 50;
x144.lo = 0; x144.up = 50;
x145.lo = 0; x145.up = 50;
x146.lo = 0; x146.up = 50;
x147.lo = 0; x147.up = 50;
x148.lo = 0; x148.up = 50;
x149.lo = 0; x149.up = 50;
x150.lo = 0; x150.up = 50;
x151.lo = 0; x151.up = 50;
x152.lo = 0; x152.up = 50;
x153.lo = 0; x153.up = 50;
x154.lo = 0; x154.up = 50;
x155.lo = 0; x155.up = 50;
x156.lo = 0; x156.up = 50;
x157.lo = 0; x157.up = 50;
x158.lo = 0; x158.up = 50;
x159.lo = 0; x159.up = 50;
x160.lo = 0; x160.up = 50;
x161.lo = 0; x161.up = 50;
x162.lo = 0; x162.up = 50;
x163.lo = 0; x163.up = 50;
x164.lo = 0; x164.up = 50;
x165.lo = 0; x165.up = 50;
x166.lo = 0; x166.up = 50;
x167.lo = 0; x167.up = 50;
x168.lo = 0; x168.up = 50;
x169.lo = 0; x169.up = 50;
x170.lo = 0; x170.up = 50;
x171.lo = 0; x171.up = 50;
x172.lo = 0; x172.up = 50;
x173.lo = 0; x173.up = 50;
x174.lo = 0; x174.up = 50;
x175.lo = 0; x175.up = 50;
x176.lo = 0; x176.up = 50;
x177.lo = 0; x177.up = 50;
x178.lo = 0; x178.up = 50;
x179.lo = 0; x179.up = 50;
x180.lo = 0; x180.up = 50;
x181.lo = 0; x181.up = 50;
x182.lo = 0; x182.up = 50;
x183.lo = 0; x183.up = 50;
x184.lo = 0; x184.up = 50;
x185.lo = 0; x185.up = 50;
x186.lo = 0; x186.up = 50;
x187.lo = 0; x187.up = 50;
x188.lo = 0; x188.up = 50;
x189.lo = 0; x189.up = 50;
x190.lo = 0; x190.up = 50;
x191.lo = 0; x191.up = 50;
x192.lo = 0; x192.up = 50;
x193.lo = 0; x193.up = 3.66;
x194.lo = 0; x194.up = 3.66;
x195.lo = 0; x195.up = 3.66;
x196.lo = 0; x196.up = 3.66;
x197.lo = 0; x197.up = 3.66;
x198.lo = 0; x198.up = 3.66;
x199.lo = 0; x199.up = 3.66;
x200.lo = 0; x200.up = 3.66;
x201.lo = 0; x201.up = 3.66;
x202.lo = 0; x202.up = 3.66;
x203.lo = 0; x203.up = 3.14;
x204.lo = 0; x204.up = 3.14;
x205.lo = 0; x205.up = 3.14;
x206.lo = 0; x206.up = 3.14;
x207.lo = 0; x207.up = 3.14;
x208.lo = 0; x208.up = 3.14;
x209.lo = 0; x209.up = 3.14;
x210.lo = 0; x210.up = 3.14;
x211.lo = 0; x211.up = 3.14;
x212.lo = 0; x212.up = 3.14;
x213.fx = 0;
x214.fx = 0;
x215.fx = 0;
x216.fx = 0;
x217.fx = 0;
x218.fx = 0;
x219.fx = 0;
x220.fx = 0;
x221.fx = 0;
x222.fx = 0;
x223.fx = 0;
x224.fx = 0;
x225.lo = 0; x225.up = 44;
x226.lo = 0; x226.up = 44;
x227.lo = 0; x227.up = 44;
x228.lo = 0; x228.up = 44;
x229.lo = 0; x229.up = 44;
x230.lo = 0; x230.up = 44;
x231.lo = 0; x231.up = 47.3;
x232.lo = 0; x232.up = 47.3;
x233.lo = 0; x233.up = 47.3;
x234.lo = 0; x234.up = 47.3;
x235.lo = 0; x235.up = 47.3;
x236.lo = 0; x236.up = 47.3;
x237.lo = 0; x237.up = 44;
x238.lo = 0; x238.up = 44;
x239.lo = 0; x239.up = 44;
x240.lo = 0; x240.up = 44;
x241.lo = 0; x241.up = 44;
x242.lo = 0; x242.up = 44;
x243.lo = 0; x243.up = 62.7;
x244.lo = 0; x244.up = 62.7;
x245.lo = 0; x245.up = 62.7;
x246.lo = 0; x246.up = 62.7;
x247.lo = 0; x247.up = 62.7;
x248.lo = 0; x248.up = 62.7;
x249.lo = 0; x249.up = 52.8;
x250.lo = 0; x250.up = 52.8;
x251.lo = 0; x251.up = 52.8;
x252.lo = 0; x252.up = 52.8;
x253.lo = 0; x253.up = 52.8;
x254.lo = 0; x254.up = 52.8;
x255.fx = 0;
x256.lo = 0; x256.up = 50;
x257.fx = 0;
x258.lo = 0; x258.up = 50;
x259.fx = 0;
x260.lo = 0; x260.up = 50;
x261.fx = 0;
x262.lo = 0; x262.up = 50;
x263.fx = 0;
x264.lo = 0; x264.up = 50;
x265.fx = 0;
x266.lo = 0; x266.up = 50;
x267.fx = 0;
x268.lo = 0; x268.up = 50;
x269.fx = 0;
x270.lo = 0; x270.up = 50;
x271.fx = 0;
x272.lo = 0; x272.up = 50;
x273.fx = 0;
x274.lo = 0; x274.up = 50;
x275.fx = 0;
x276.lo = 0; x276.up = 50;
x277.fx = 0;
x278.lo = 0; x278.up = 3.66;
x279.lo = 0; x279.up = 3.66;
x280.lo = 0; x280.up = 3.66;
x281.lo = 0; x281.up = 3.66;
x282.lo = 0; x282.up = 3.66;
x283.lo = 0; x283.up = 3.66;
x284.lo = 0; x284.up = 3.66;
x285.lo = 0; x285.up = 3.66;
x286.lo = 0; x286.up = 3.66;
x287.lo = 0; x287.up = 3.66;
x288.lo = 0; x288.up = 3.66;
x289.lo = 0; x289.up = 3.66;
x290.lo = 0; x290.up = 3.66;
x291.lo = 0; x291.up = 3.66;
x292.lo = 0; x292.up = 3.66;
x293.lo = 0; x293.up = 3.66;
x294.lo = 0; x294.up = 3.66;
x295.lo = 0; x295.up = 3.66;
x296.lo = 0; x296.up = 3.66;
x297.lo = 0; x297.up = 3.66;
x298.lo = 0; x298.up = 3.14;
x299.lo = 0; x299.up = 3.14;
x300.lo = 0; x300.up = 3.14;
x301.lo = 0; x301.up = 3.14;
x302.lo = 0; x302.up = 3.14;
x303.lo = 0; x303.up = 3.14;
x304.lo = 0; x304.up = 3.14;
x305.lo = 0; x305.up = 3.14;
x306.lo = 0; x306.up = 3.14;
x307.lo = 0; x307.up = 3.14;
x308.lo = 0; x308.up = 3.14;
x309.lo = 0; x309.up = 3.14;
x310.lo = 0; x310.up = 3.14;
x311.lo = 0; x311.up = 3.14;
x312.lo = 0; x312.up = 3.14;
x313.lo = 0; x313.up = 3.14;
x314.lo = 0; x314.up = 3.14;
x315.lo = 0; x315.up = 3.14;
x316.lo = 0; x316.up = 3.14;
x317.lo = 0; x317.up = 3.14;
x319.lo = 10; x319.up = 50;

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;


Last updated: 2026-03-18 Git hash: de427236
Imprint / Privacy Policy / License: CC-BY 4.0