#  QCP written by GAMS Convert at 02/15/18 15:46:33
#  
#  Equation counts
#      Total        E        G        L        N        X        C        B
#        205      193        0       12        0        0        0        0
#  
#  Variable counts
#                   x        b        i      s1s      s2s       sc       si
#      Total     cont   binary  integer     sos1     sos2    scont     sint
#        209      209        0        0        0        0        0        0
#  FX      0        0        0        0        0        0        0        0
#  
#  Nonzero counts
#      Total    const       NL      DLL
#        843      663      180        0
# 
#  Reformulation has removed 1 variable and 1 equation


var x2 >= 0, <= 1000000;
var x3 >= 0, <= 1000000;
var x4 >= 0, <= 1000000;
var x5 >= 0, <= 1000000;
var x6 >= 0, <= 1000000;
var x7 >= 0, <= 1000000;
var x8 >= 0, <= 1000000;
var x9 >= 0, <= 1000000;
var x10 >= 0, <= 1000000;
var x11 >= 0, <= 1000000;
var x12 >= 0, <= 1000000;
var x13 >= 0, <= 1000000;
var x14 >= 0, <= 1000000;
var x15 >= 0, <= 1000000;
var x16 >= 0, <= 1000000;
var x17 >= 0, <= 1000000;
var x18 >= 0, <= 1000000;
var x19 >= 0, <= 1000000;
var x20 >= 0, <= 1000000;
var x21 >= 0, <= 1000000;
var x22 >= 0, <= 1000000;
var x23 >= 0, <= 1000000;
var x24 >= 0, <= 1000000;
var x25 >= 0, <= 1000000;
var x26 >= 0, <= 1000000;
var x27 >= 0, <= 1000000;
var x28 >= 0, <= 1000000;
var x29 >= 0, <= 1000000;
var x30 >= 0, <= 1000000;
var x31 >= 0, <= 1000000;
var x32 >= 0, <= 1000000;
var x33 >= 0, <= 1000000;
var x34 >= 0, <= 1000000;
var x35 >= 0, <= 1000000;
var x36 >= 0, <= 1000000;
var x37 >= 0, <= 1000000;
var x38 >= 0, <= 1000000;
var x39 >= 0, <= 1000000;
var x40 >= 0, <= 1000000;
var x41 >= 0, <= 1000000;
var x42 >= 0, <= 1000000;
var x43 >= 0, <= 1000000;
var x44 >= 0, <= 1000000;
var x45 >= 0, <= 1000000;
var x46 >= 0, <= 1000000;
var x47 >= 0, <= 1000000;
var x48 >= 0, <= 1000000;
var x49 >= 0, <= 1000000;
var x50 >= 0, <= 1000000;
var x51 >= 0, <= 1000000;
var x52 >= 0, <= 1000000;
var x53 >= 0, <= 1000000;
var x54 >= 0, <= 1000000;
var x55 >= 0, <= 1000000;
var x56 >= 0, <= 1000000;
var x57 >= 0, <= 1000000;
var x58 >= 0, <= 1000000;
var x59 >= 0, <= 1000000;
var x60 >= 0, <= 1000000;
var x61 >= 0, <= 1000000;
var x62 >= 0, <= 1000000;
var x63 >= 0, <= 1000000;
var x64 >= 0, <= 1000000;
var x65 >= 0, <= 1000000;
var x66 >= 0, <= 1000000;
var x67 >= 0, <= 1000000;
var x68 >= 0, <= 1000000;
var x69 >= 0, <= 1000000;
var x70 >= 0, <= 1000000;
var x71 >= 0, <= 1000000;
var x72 >= 0, <= 1000000;
var x73 >= 0, <= 1000000;
var x74 >= 0, <= 1000000;
var x75 >= 0, <= 1000000;
var x76 >= 0, <= 1000000;
var x77 >= 0, <= 1000000;
var x78 >= 0, <= 1000000;
var x79 >= 0, <= 1000000;
var x80 >= 0, <= 1000000;
var x81 >= 0, <= 1000000;
var x82 >= 0, <= 1000000;
var x83 >= 0, <= 1000000;
var x84 >= 0, <= 1000000;
var x85 >= 0, <= 1000000;
var x86 >= 0, <= 1000000;
var x87 >= 0, <= 1000000;
var x88 >= 0, <= 1000000;
var x89 >= 0, <= 1000000;
var x90 >= 0, <= 1000000;
var x91 >= 0, <= 1000000;
var x92 >= 0, <= 1000000;
var x93 >= 0, <= 1000000;
var x94 >= 0, <= 1000000;
var x95 >= 0, <= 1000000;
var x96 >= 0, <= 1000000;
var x97 >= 0, <= 1000000;
var x98 >= 0, <= 1000000;
var x99 >= 0, <= 1000000;
var x100 >= 0, <= 1000000;
var x101 >= 0, <= 1000000;
var x102 >= 0, <= 1000000;
var x103 >= 0, <= 1000000;
var x104 >= 0, <= 1000000;
var x105 >= 0, <= 1000000;
var x106 >= 0, <= 1000000;
var x107 >= 0, <= 1000000;
var x108 >= 0, <= 1000000;
var x109 >= 0, <= 1000000;
var x110 >= 0, <= 1000000;
var x111 >= 0, <= 1000000;
var x112 >= 0, <= 1000000;
var x113 >= 0, <= 1000000;
var x114 >= 0, <= 1000000;
var x115 >= 0, <= 1000000;
var x116 >= 0, <= 1000000;
var x117 >= 0, <= 1000000;
var x118 >= 0, <= 1000000;
var x119 >= 0, <= 1000000;
var x120 >= 0, <= 1000000;
var x121 >= 0, <= 1000000;
var x122 >= 0, <= 1000000;
var x123 >= 0, <= 1000000;
var x124 >= 0, <= 1000000;
var x125 >= 0, <= 1000000;
var x126 >= 0, <= 1000000;
var x127 >= 0, <= 1000000;
var x128 >= 0, <= 1000000;
var x129 >= 0, <= 1000000;
var x130 >= 0, <= 1000000;
var x131 >= 0, <= 1000000;
var x132 >= 0, <= 1000000;
var x133 >= 0, <= 1000000;
var x134 >= 0, <= 1000000;
var x135 >= 0, <= 1000000;
var x136 >= 0, <= 1000000;
var x137 >= 0, <= 1000000;
var x138 >= 0, <= 1000000;
var x139 >= 0, <= 1000000;
var x140 >= 0, <= 1000000;
var x141 >= 0, <= 1000000;
var x142 >= 0, <= 1000000;
var x143 >= 0, <= 1000000;
var x144 >= 0, <= 1000000;
var x145 >= 0, <= 1000000;
var x146 >= 0, <= 1000000;
var x147 >= 0, <= 1000000;
var x148 >= 0, <= 1000000;
var x149 >= 0, <= 1000000;
var x150 >= 0, <= 1000000;
var x151 >= 0, <= 1000000;
var x152 >= 0, <= 1000000;
var x153 >= 0, <= 1000000;
var x154 >= 0, <= 1000000;
var x155 >= 0, <= 1000000;
var x156 >= 0, <= 1000000;
var x157 >= 0, <= 1000000;
var x158 >= 0, <= 1000000;
var x159 >= 0, <= 1000000;
var x160 >= 0, <= 1000000;
var x161 >= 0, <= 1000000;
var x162 >= 0, <= 1000000;
var x163 >= 0, <= 1000000;
var x164 >= 0, <= 1000000;
var x165 >= 0, <= 1000000;
var x166 >= 0, <= 1000000;
var x167 >= 0, <= 1000000;
var x168 >= 0, <= 1000000;
var x169 >= 0, <= 1000000;
var x170 >= 0, <= 1000000;
var x171 >= 0, <= 1000000;
var x172 >= 0, <= 1000000;
var x173 >= 0, <= 1000000;
var x174 >= 0, <= 1000000;
var x175 >= 0, <= 1000000;
var x176 >= 0, <= 1000000;
var x177 >= 0, <= 1000000;
var x178 >= 0, <= 1000000;
var x179 >= 0, <= 1000000;
var x180 >= 0, <= 1000000;
var x181 >= 0, <= 1000000;
var x182 >= 0, <= 1000000;
var x183 >= 0, <= 1000000;
var x184 >= 0, <= 1000000;
var x185 >= 0, <= 1000000;
var x186 >= 0, <= 1000000;
var x187 >= 0, <= 1000000;
var x188 >= 0, <= 1000000;
var x189 >= 0, <= 1000000;
var x190 >= 0, <= 1000000;
var x191 >= 0, <= 1000000;
var x192 >= 0, <= 1000000;
var x193 >= 0, <= 1000000;
var x194 >= 0, <= 1000000;
var x195 >= 0, <= 1000000;
var x196 >= 0, <= 1000000;
var x197 >= 0, <= 1000000;
var x198 >= 0, <= 1000000;
var x199 >= 0, <= 1000000;
var x200 >= 0, <= 1000000;
var x201 >= 0, <= 1000000;
var x202 >= 0, <= 1000000;
var x203 >= 0, <= 1000000;
var x204 >= 0, <= 1000000;
var x205 >= 0, <= 1000000;
var x206 >= 0, <= 1000000;
var x207 >= 0, <= 1000000;
var x208 >= 0, <= 1000000;
var x209 >= 0, <= 1000000;

minimize obj:    x2 + x3 + x4 + x5 + x6;

subject to

e2:  - x7 - x8 - x9 - x10 - x11 - x12 = -50;

e3:  - x13 - x14 - x15 - x16 - x17 - x18 = -120;

e4:  - x19 - x20 - x21 - x22 - x23 - x24 = -70;

e5:    x2 - x8 - x14 - x20 - x25 - x26 - x27 - x28 - x29 = 0;

e6:    x3 - x9 - x15 - x21 - x30 - x31 - x32 - x33 - x34 = 0;

e7:    x4 - x10 - x16 - x22 - x35 - x36 - x37 - x38 - x39 = 0;

e8:    x5 - x11 - x17 - x23 - x40 - x41 - x42 - x43 - x44 = 0;

e9:    x6 - x12 - x18 - x24 - x45 - x46 - x47 - x48 - x49 = 0;

e10:    x2 - x25 - x30 - x35 - x40 - x45 - x50 = 0;

e11:    x3 - x26 - x31 - x36 - x41 - x46 - x51 = 0;

e12:    x4 - x27 - x32 - x37 - x42 - x47 - x52 = 0;

e13:    x5 - x28 - x33 - x38 - x43 - x48 - x53 = 0;

e14:    x6 - x29 - x34 - x39 - x44 - x49 - x54 = 0;

e15:  - x7 - x13 - x19 - x50 - x51 - x52 - x53 - x54 + x55 = 0;

e16:  - x56 - x57 - x58 - x59 - x60 - x61 = -500;

e17:  - x62 - x63 - x64 - x65 - x66 - x67 = -10000;

e18:  - x68 - x69 - x70 - x71 - x72 - x73 = -13200;

e19:  - x74 - x75 - x76 - x77 - x78 - x79 = -16800;

e20:  - x80 - x81 - x82 - x83 - x84 - x85 = -7000;

e21:  - x86 - x87 - x88 - x89 - x90 - x91 = -1750;

e22:  - x57 + 500*x92 = 0;

e23:  - x63 + 10000*x92 = 0;

e24:  - x58 + 500*x93 = 0;

e25:  - x64 + 10000*x93 = 0;

e26:  - x59 + 500*x94 = 0;

e27:  - x65 + 10000*x94 = 0;

e28:  - x60 + 500*x95 = 0;

e29:  - x66 + 10000*x95 = 0;

e30:  - x61 + 500*x96 = 0;

e31:  - x67 + 10000*x96 = 0;

e32:  - x69 + 13200*x97 = 0;

e33:  - x75 + 16800*x97 = 0;

e34:  - x70 + 13200*x98 = 0;

e35:  - x76 + 16800*x98 = 0;

e36:  - x71 + 13200*x99 = 0;

e37:  - x77 + 16800*x99 = 0;

e38:  - x72 + 13200*x100 = 0;

e39:  - x78 + 16800*x100 = 0;

e40:  - x73 + 13200*x101 = 0;

e41:  - x79 + 16800*x101 = 0;

e42:  - x81 + 7000*x102 = 0;

e43:  - x87 + 1750*x102 = 0;

e44:  - x82 + 7000*x103 = 0;

e45:  - x88 + 1750*x103 = 0;

e46:  - x83 + 7000*x104 = 0;

e47:  - x89 + 1750*x104 = 0;

e48:  - x84 + 7000*x105 = 0;

e49:  - x90 + 1750*x105 = 0;

e50:  - x85 + 7000*x106 = 0;

e51:  - x91 + 1750*x106 = 0;

e52:  - x56 + 500*x107 = 0;

e53:  - x62 + 10000*x107 = 0;

e54:  - x68 + 13200*x108 = 0;

e55:  - x74 + 16800*x108 = 0;

e56:  - x80 + 7000*x109 = 0;

e57:  - x86 + 1750*x109 = 0;

e58:  - x8 + 50*x92 = 0;

e59:  - x9 + 50*x93 = 0;

e60:  - x10 + 50*x94 = 0;

e61:  - x11 + 50*x95 = 0;

e62:  - x12 + 50*x96 = 0;

e63:  - x14 + 120*x97 = 0;

e64:  - x15 + 120*x98 = 0;

e65:  - x16 + 120*x99 = 0;

e66:  - x17 + 120*x100 = 0;

e67:  - x18 + 120*x101 = 0;

e68:  - x20 + 70*x102 = 0;

e69:  - x21 + 70*x103 = 0;

e70:  - x22 + 70*x104 = 0;

e71:  - x23 + 70*x105 = 0;

e72:  - x24 + 70*x106 = 0;

e73:  - x7 + 50*x107 = 0;

e74:  - x13 + 120*x108 = 0;

e75:  - x19 + 70*x109 = 0;

e76:    x92 + x93 + x94 + x95 + x96 + x107 = 1;

e77:    x97 + x98 + x99 + x100 + x101 + x108 = 1;

e78:    x102 + x103 + x104 + x105 + x106 + x109 = 1;

e79:  - 145*x2 + x57 + x69 + x81 + x110 + x111 + x112 + x113 + x114 <= 0;

e80:  - 400*x2 + x63 + x75 + x87 + x115 + x116 + x117 + x118 + x119 <= 0;

e81:  - 110*x3 + x58 + x70 + x82 + x120 + x121 + x122 + x123 + x124 <= 0;

e82:  - 90*x3 + x64 + x76 + x88 + x125 + x126 + x127 + x128 + x129 <= 0;

e83:  - 90*x4 + x59 + x71 + x83 + x130 + x131 + x132 + x133 + x134 <= 0;

e84:  - 100*x4 + x65 + x77 + x89 + x135 + x136 + x137 + x138 + x139 <= 0;

e85:  - 200*x5 + x60 + x72 + x84 + x140 + x141 + x142 + x143 + x144 <= 0;

e86:  - 90*x5 + x66 + x78 + x90 + x145 + x146 + x147 + x148 + x149 <= 0;

e87:  - 50*x6 + x61 + x73 + x85 + x150 + x151 + x152 + x153 + x154 <= 0;

e88:  - 80*x6 + x67 + x79 + x91 + x155 + x156 + x157 + x158 + x159 <= 0;

e89:    0.1*x57 + 0.1*x69 + 0.1*x81 + 0.1*x110 + 0.1*x111 + 0.1*x112 + 0.1*x113
      + 0.1*x114 - x160 = 0;

e90:    x63 + x75 + x87 + x115 + x116 + x117 + x118 + x119 - x161 = 0;

e91:    0.3*x58 + 0.3*x70 + 0.3*x82 + 0.3*x120 + 0.3*x121 + 0.3*x122 + 0.3*x123
      + 0.3*x124 - x162 = 0;

e92:    0.1*x64 + 0.1*x76 + 0.1*x88 + 0.1*x125 + 0.1*x126 + 0.1*x127 + 0.1*x128
      + 0.1*x129 - x163 = 0;

e93:    x59 + x71 + x83 + x130 + x131 + x132 + x133 + x134 - x164 = 0;

e94:    0.2*x65 + 0.2*x77 + 0.2*x89 + 0.2*x135 + 0.2*x136 + 0.2*x137 + 0.2*x138
      + 0.2*x139 - x165 = 0;

e95:    0.5*x60 + 0.5*x72 + 0.5*x84 + 0.5*x140 + 0.5*x141 + 0.5*x142 + 0.5*x143
      + 0.5*x144 - x166 = 0;

e96:    x66 + x78 + x90 + x145 + x146 + x147 + x148 + x149 - x167 = 0;

e97:    0.35*x61 + 0.35*x73 + 0.35*x85 + 0.35*x150 + 0.35*x151 + 0.35*x152
      + 0.35*x153 + 0.35*x154 - x168 = 0;

e98:    0.4*x67 + 0.4*x79 + 0.4*x91 + 0.4*x155 + 0.4*x156 + 0.4*x157 + 0.4*x158
      + 0.4*x159 - x169 = 0;

e99:  - x110 - x120 - x130 - x140 - x150 + x160 - x170 = 0;

e100:  - x115 - x125 - x135 - x145 - x155 + x161 - x171 = 0;

e101:  - x111 - x121 - x131 - x141 - x151 + x162 - x172 = 0;

e102:  - x116 - x126 - x136 - x146 - x156 + x163 - x173 = 0;

e103:  - x112 - x122 - x132 - x142 - x152 + x164 - x174 = 0;

e104:  - x117 - x127 - x137 - x147 - x157 + x165 - x175 = 0;

e105:  - x113 - x123 - x133 - x143 - x153 + x166 - x176 = 0;

e106:  - x118 - x128 - x138 - x148 - x158 + x167 - x177 = 0;

e107:  - x114 - x124 - x134 - x144 - x154 + x168 - x178 = 0;

e108:  - x119 - x129 - x139 - x149 - x159 + x169 - x179 = 0;

e109:    x180 + x181 + x182 + x183 + x184 + x185 = 1;

e110:    x186 + x187 + x188 + x189 + x190 + x191 = 1;

e111:    x192 + x193 + x194 + x195 + x196 + x197 = 1;

e112:    x198 + x199 + x200 + x201 + x202 + x203 = 1;

e113:    x204 + x205 + x206 + x207 + x208 + x209 = 1;

e114:  - 10*x55 + x56 + x68 + x80 + x170 + x172 + x174 + x176 + x178 <= 0;

e115:  - 5*x55 + x62 + x74 + x86 + x171 + x173 + x175 + x177 + x179 <= 0;

e116: x180*x160 - x110 = 0;

e117: x180*x161 - x115 = 0;

e118: x181*x160 - x120 = 0;

e119: x181*x161 - x125 = 0;

e120: x182*x160 - x130 = 0;

e121: x182*x161 - x135 = 0;

e122: x183*x160 - x140 = 0;

e123: x183*x161 - x145 = 0;

e124: x184*x160 - x150 = 0;

e125: x184*x161 - x155 = 0;

e126: x186*x162 - x111 = 0;

e127: x186*x163 - x116 = 0;

e128: x187*x162 - x121 = 0;

e129: x187*x163 - x126 = 0;

e130: x188*x162 - x131 = 0;

e131: x188*x163 - x136 = 0;

e132: x189*x162 - x141 = 0;

e133: x189*x163 - x146 = 0;

e134: x190*x162 - x151 = 0;

e135: x190*x163 - x156 = 0;

e136: x192*x164 - x112 = 0;

e137: x192*x165 - x117 = 0;

e138: x193*x164 - x122 = 0;

e139: x193*x165 - x127 = 0;

e140: x194*x164 - x132 = 0;

e141: x194*x165 - x137 = 0;

e142: x195*x164 - x142 = 0;

e143: x195*x165 - x147 = 0;

e144: x196*x164 - x152 = 0;

e145: x196*x165 - x157 = 0;

e146: x198*x166 - x113 = 0;

e147: x198*x167 - x118 = 0;

e148: x199*x166 - x123 = 0;

e149: x199*x167 - x128 = 0;

e150: x200*x166 - x133 = 0;

e151: x200*x167 - x138 = 0;

e152: x201*x166 - x143 = 0;

e153: x201*x167 - x148 = 0;

e154: x202*x166 - x153 = 0;

e155: x202*x167 - x158 = 0;

e156: x204*x168 - x114 = 0;

e157: x204*x169 - x119 = 0;

e158: x205*x168 - x124 = 0;

e159: x205*x169 - x129 = 0;

e160: x206*x168 - x134 = 0;

e161: x206*x169 - x139 = 0;

e162: x207*x168 - x144 = 0;

e163: x207*x169 - x149 = 0;

e164: x208*x168 - x154 = 0;

e165: x208*x169 - x159 = 0;

e166: x185*x160 - x170 = 0;

e167: x185*x161 - x171 = 0;

e168: x191*x162 - x172 = 0;

e169: x191*x163 - x173 = 0;

e170: x197*x164 - x174 = 0;

e171: x197*x165 - x175 = 0;

e172: x203*x166 - x176 = 0;

e173: x203*x167 - x177 = 0;

e174: x209*x168 - x178 = 0;

e175: x209*x169 - x179 = 0;

e176: x180*x2 - x25 = 0;

e177: x181*x2 - x30 = 0;

e178: x182*x2 - x35 = 0;

e179: x183*x2 - x40 = 0;

e180: x184*x2 - x45 = 0;

e181: x186*x3 - x26 = 0;

e182: x187*x3 - x31 = 0;

e183: x188*x3 - x36 = 0;

e184: x189*x3 - x41 = 0;

e185: x190*x3 - x46 = 0;

e186: x192*x4 - x27 = 0;

e187: x193*x4 - x32 = 0;

e188: x194*x4 - x37 = 0;

e189: x195*x4 - x42 = 0;

e190: x196*x4 - x47 = 0;

e191: x198*x5 - x28 = 0;

e192: x199*x5 - x33 = 0;

e193: x200*x5 - x38 = 0;

e194: x201*x5 - x43 = 0;

e195: x202*x5 - x48 = 0;

e196: x204*x6 - x29 = 0;

e197: x205*x6 - x34 = 0;

e198: x206*x6 - x39 = 0;

e199: x207*x6 - x44 = 0;

e200: x208*x6 - x49 = 0;

e201: x185*x2 - x50 = 0;

e202: x191*x3 - x51 = 0;

e203: x197*x4 - x52 = 0;

e204: x203*x5 - x53 = 0;

e205: x209*x6 - x54 = 0;