Zadania PCL, Studia, Podstawy Optymalizacji
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Zadanie nr 1min c | x, gdzie:c=[ 70.0 40.0 -42.0 140.0 -8.0 -14.0 ]Przy ograniczeniach:52.0*x2-18.0*x3-14.0*x4-4.0*x5+4.0*x6 >= 1014.0*x1+12.0*x2+94.0*x3+144.0*x4+118.0*x5+68.0*x6 <= 17490.0*x1+70.0*x2-40.0*x3+52.0*x4+128.0*x5+146.0*x6 <= 126x1>=0, x1 caｳkowitax2>=0, x2 caｳkowitax3>=0, x3 caｳkowitax4>=0, x4 caｳkowitax5>=0, x5 caｳkowitax6>=0, x6 caｳkowita---------------------------------------------------------------------------Zadanie nr 2min c | x, gdzie:c=[ 112.0 -28.0 40.0 -14.0 106.0 84.0 ]Przy ograniczeniach:20.0*x1-14.0*x2+140.0*x3+82.0*x4+128.0*x5+132.0*x6 = 200-44.0*x1+142.0*x2-2.0*x3-34.0*x4+108.0*x5+132.0*x6 <= 118122.0*x1+46.0*x2+48.0*x3+44.0*x4-26.0*x5+14.0*x6 >= 108x1>=0, x1 caｳkowitax2>=0, x2 caｳkowitax3>=0, x3 caｳkowitax4>=0, x4 caｳkowitax5>=0, x5 caｳkowitax6>=0, x6 caｳkowita---------------------------------------------------------------------------Zadanie nr 3min c | x, gdzie:c=[ 2.0 38.0 148.0 -36.0 106.0 ]Przy ograniczeniach:56.0*x1+102.0*x2+26.0*x3+130.0*x4-38.0*x5 >= 11698.0*x1+136.0*x2-32.0*x3+150.0*x4+130.0*x5 >= 16046.0*x1+56.0*x2-36.0*x3+10.0*x4+46.0*x5 = 118x1>=0, x1 caｳkowitax2>=0, x2 caｳkowitax3>=0, x3 caｳkowitax4>=0, x4 caｳkowitax5>=0, x5 caｳkowita---------------------------------------------------------------------------Zadanie nr 4min c | x, gdzie:c=[ 84.0 -10.0 106.0 54.0 ]Przy ograniczeniach:76.0*x1-22.0*x2-32.0*x3+40.0*x4 >= 10064.0*x1-20.0*x2+86.0*x3+66.0*x4 = 6-30.0*x1+102.0*x2+30.0*x3+78.0*x4 >= 16276.0*x1+116.0*x2+150.0*x3+72.0*x4 >= 68x1>=0, x1 caｳkowitax2>=0, x2 caｳkowitax3>=0, x3 caｳkowitax4>=0, x4 caｳkowita---------------------------------------------------------------------------Zadanie nr 5max c | x, gdzie:c=[ 24.0 44.0 100.0 142.0 ]Przy ograniczeniach:70.0*x1+14.0*x2+124.0*x3+122.0*x4 >= 188112.0*x1-12.0*x2+102.0*x3+50.0*x4 <= 17650.0*x1+50.0*x2+38.0*x3+40.0*x4 <= 168x1>=0, x1 caｳkowitax2>=0, x2 caｳkowitax3>=0, x3 caｳkowitax4>=0, x4 caｳkowita---------------------------------------------------------------------------Zadanie nr 6max c | x, gdzie:c=[ 54.0 132.0 98.0 26.0 122.0 ]Przy ograniczeniach:-4.0*x1+78.0*x2+30.0*x3-6.0*x4+52.0*x5 >= 58114.0*x1+20.0*x2+74.0*x4+30.0*x5 >= 6838.0*x1+52.0*x2+144.0*x3+20.0*x4+122.0*x5 <= 158-42.0*x1+20.0*x2+102.0*x3+116.0*x4+72.0*x5 >= 104x1>=0, x1 caｳkowitax2>=0, x2 caｳkowitax3>=0, x3 caｳkowitax4>=0, x4 caｳkowitax5>=0, x5 caｳkowita---------------------------------------------------------------------------Zadanie nr 7min c | x, gdzie:c=[ 136.0 -20.0 20.0 118.0 58.0 ]Przy ograniczeniach:110.0*x1+56.0*x2+80.0*x3+14.0*x4+70.0*x5 >= 2640.0*x1+48.0*x2+36.0*x3+102.0*x4+16.0*x5 >= 106102.0*x1-24.0*x2+28.0*x3+26.0*x4-18.0*x5 <= 3230.0*x1+50.0*x2-42.0*x3+132.0*x4-34.0*x5 >= 7280.0*x1+74.0*x2-18.0*x3-10.0*x4+52.0*x5 <= 106x1>=0, x1 caｳkowitax2>=0, x2 caｳkowitax3>=0, x3 caｳkowitax4>=0, x4 caｳkowitax5>=0, x5 caｳkowita---------------------------------------------------------------------------Zadanie nr 8min c | x, gdzie:c=[ -14.0 -30.0 50.0 30.0 ]Przy ograniczeniach:98.0*x1-30.0*x2+122.0*x3-12.0*x4 = 1034.0*x1+80.0*x2+72.0*x3+14.0*x4 >= 156142.0*x1+52.0*x2+40.0*x3-50.0*x4 = 114-48.0*x1+126.0*x2+10.0*x3+6.0*x4 >= 82x1>=0, x1 caｳkowitax2>=0, x2 caｳkowitax3>=0, x3 caｳkowitax4>=0, x4 caｳkowita---------------------------------------------------------------------------Zadanie nr 9min c | x, gdzie:c=[ 148.0 90.0 108.0 120.0 88.0 64.0 ]Przy ograniczeniach:-40.0*x1+132.0*x2+96.0*x3-20.0*x4+76.0*x5-6.0*x6 >= 16116.0*x1+132.0*x2+132.0*x3+64.0*x4+74.0*x5+8.0*x6 >= 14854.0*x1-8.0*x2+58.0*x3+126.0*x4+138.0*x5-46.0*x6 <= 182136.0*x1+110.0*x2+96.0*x3-30.0*x4+110.0*x5-42.0*x6 <= 184138.0*x1+146.0*x2+44.0*x3+58.0*x4+52.0*x5+60.0*x6 >= 30x1>=0, x1 caｳkowitax2>=0, x2 caｳkowitax3>=0, x3 caｳkowitax4>=0, x4 caｳkowitax5>=0, x5 caｳkowitax6>=0, x6 caｳkowita---------------------------------------------------------------------------Zadanie nr 10max c | x, gdzie:c=[ 36.0 126.0 -12.0 16.0 ]Przy ograniczeniach:-28.0*x1+10.0*x2-30.0*x3+2.0*x4 <= 32114.0*x1+122.0*x2-2.0*x3+124.0*x4 <= 134106.0*x1+116.0*x2-46.0*x3+138.0*x4 <= 186130.0*x1-6.0*x2-10.0*x3-6.0*x4 <= 180x1>=0, x1 caｳkowitax2>=0, x2 caｳkowitax3>=0, x3 caｳkowitax4>=0, x4 caｳkowita---------------------------------------------------------------------------Zadanie nr 11min c | x, gdzie:c=[ 50.0 52.0 88.0 120.0 ]Przy ograniczeniach:28.0*x1+82.0*x2-40.0*x3+74.0*x4 = 12482.0*x1+128.0*x2-48.0*x3+58.0*x4 >= 108124.0*x1-4.0*x2+40.0*x3+106.0*x4 >= 11634.0*x1+68.0*x2+142.0*x3-44.0*x4 >= 96x1>=0, x1 caｳkowitax2>=0, x2 caｳkowitax3>=0, x3 caｳkowitax4>=0, x4 caｳkowita---------------------------------------------------------------------------Zadanie nr 12min c | x, gdzie:c=[ 136.0 50.0 88.0 46.0 30.0 ]Przy ograniczeniach:126.0*x1+90.0*x2+122.0*x3+80.0*x4+134.0*x5 >= 16452.0*x1+38.0*x2+48.0*x4+134.0*x5 >= 1888.0*x2+72.0*x3+42.0*x4+2.0*x5 >= 180-28.0*x1+30.0*x2+48.0*x3+66.0*x4-14.0*x5 <= 150x1>=0, x1 caｳkowitax2>=0, x2 caｳkowitax3>=0, x3 caｳkowitax4>=0, x4 caｳkowitax5>=0, x5 caｳkowita---------------------------------------------------------------------------Zadanie nr 13max c | x, gdzie:c=[ -50.0 -26.0 -38.0 -14.0 82.0 ]Przy ograniczeniach:90.0*x1-12.0*x2+66.0*x3-4.0*x4+62.0*x5 <= 2628.0*x1+44.0*x2+134.0*x3-24.0*x4+102.0*x5 >= 2622.0*x1+8.0*x2-32.0*x3-30.0*x4-46.0*x5 <= 68x1>=0, x1 caｳkowitax2>=0, x2 caｳkowitax3>=0, x3 caｳkowitax4>=0, x4 caｳkowitax5>=0, x5 caｳkowita---------------------------------------------------------------------------Zadanie nr 14max c | x, gdzie:c=[ 94.0 -32.0 52.0 12.0 -44.0 140.0 ]Przy ograniczeniach:-10.0*x1+90.0*x2+10.0*x3-34.0*x4+110.0*x5+92.0*x6 >= 0-4.0*x1-22.0*x2+28.0*x3+94.0*x4+34.0*x5+124.0*x6 >= 2682.0*x1+50.0*x2+20.0*x3+24.0*x4+4.0*x5+66.0*x6 >= 178-36.0*x1-28.0*x2+118.0*x3+70.0*x4+16.0*x5+18.0*x6 <= 19256.0*x1+84.0*x2+114.0*x3-12.0*x4+102.0*x5+8.0*x6 <= 156x1>=0, x1 caｳkowitax2>=0, x2 caｳkowitax3>=0, x3 caｳkowitax4>=0, x4 caｳkowitax5>=0, x5 caｳkowitax6>=0, x6 caｳkowita---------------------------------------------------------------------------Zadanie nr 15min c | x, gdzie:c=[ 26.0 94.0 14.0 30.0 ]Przy ograniczeniach:22.0*x1+40.0*x2+86.0*x3-18.0*x4 = 4112.0*x1+142.0*x2+10.0*x3-32.0*x4 = 152-14.0*x1+4.0*x2+6.0*x3 <= 26x1>=0, x1 caｳkowitax2>=0, x2 caｳkowitax3>=0, x3 caｳkowitax4>=0, x4 caｳkowita---------------------------------------------------------------------------Zadanie nr 16min c | x, gdzie:c=[ 16.0 -24.0 -26.0 -16.0 ]Przy ograniczeniach:28.0*x1+20.0*x2-2.0*x3+26.0*x4 >= 100104.0*x1+24.0*x2+8.0*x3+26.0*x4 >= 158-26.0*x1-10.0*x2+36.0*x3+128.0*x4 = 180x1>=0, x1 caｳkowitax2>=0, x2 caｳkowitax3>=0, x3 caｳkowitax4>=0, x4 caｳkowita---------------------------------------------------------------------------Zadanie nr 17max c | x, gdzie:c=[ -28.0 0.0 104.0 88.0 148.0 -12.0 ]Przy ograniczeniach:88.0*x1+52.0*x2+90.0*x3+28.0*x4-18.0*x5+32.0*x6 >= 28148.0*x1+66.0*x2+106.0*x3+84.0*x4+6.0*x5+126.0*x6 >= 10278.0*x1+74.0*x2+136.0*x3+12.0*x4+6.0*x5+122.0*x6 >= 152x1>=0, x1 caｳkowitax2>=0, x2 caｳkowitax3>=0, x3 caｳkowitax4>=0, x4 caｳkowitax5>=0, x5 caｳkowitax6>=0, x6 caｳkowita---------------------------------------------------------------------------Zadanie nr 18max c | x, gdzie:c=[ 118.0 -6.0 24.0 28.0 ]Przy ograniczeniach:-6.0*x1-18.0*x2+34.0*x3+74.0*x4 <= 150-44.0*x1+8.0*x2+26.0*x3-14.0*x4 <= 5268.0*x1+100.0*x2+30.0*x3+90.0*x4 >= 68x1>=0, x1 caｳkowitax2>=0, x2 caｳkowitax3>=0, x3 caｳkowitax4>=0, x4 caｳkowita---------------------------------------------------------------------------Zadanie nr 19min c | x, gdzie:c=[ -8.0 82.0 144.0 50.0 84.0 ]Przy ograniczeniach:-32.0*x2+52.0*x3-46.0*x4+18.0*x5 >= 146114.0*x1+94.0*x2+32.0*x3+130.0*x4+82.0*x5 >= 188102.0*x1-34.0*x2+62.0*x3+106.0*x4-44.0*x5 <= 13032.0*x1-50.0*x2-40.0*x3+120.0*x4+128.0*x5 >= 0106.0*x1+32.0*x2-12.0*x3+36.0*x4+76.0*x5 >= 48x1>=0, x1 caｳkowitax2>=0, x2 caｳkowitax3>=0, x3 caｳkowitax4>=0, x4 caｳkowitax5>=0, x5 caｳkowita---------------------------------------------------------------------------Zadanie nr 20max c | x, gdzie:c=[ -2.0 128.0 2.0 8.0 ]Przy ograniczeniach:34.0*x1-36.0*x2+74.0*x3+124.0*x4 <= 90140.0*x1+150.0*x2-10.0*x3+78.0*x4 >= 14064.0*x1-16.0*x2+26.0*x3+28.0*x4 >= 54x1>=0, x1 caｳkowitax2>=0, x2 caｳkowitax3>=0, x3 caｳkowitax4>=0, x4 caｳkowita---------------------------------------------------------------------------Zadanie nr 21min c | x, gdzie:c=[ 78.0 82.0 70.0 112.0 -48.0 ]Przy ograniczeniach:12.0*x1+136.0*x2+44.0*x3+138.0*x4+34.0*x5 >= 10298.0*x1+42.0*x2+2.0*x3-46.0*x4-10.0*x5 >= 82-24.0*x1+24.0*x2-26.0*x3-36.0*x4-32.0*x5 <= 14x1>=0, x1 caｳkowitax2>=0, x2 caｳkowitax3>=0, x3 caｳkowitax4>=0, x4 caｳkowitax5>=0, x5 caｳkowita------------------------------------------------... 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