第一題: 求此題的對偶 max: 3 yellow + 5 black - 4 purple +2 blue; solid: 5 yellow + 2 black +3 blue <= 32; liquid: 7 yellow + 9 black + 3 purple - blue <= 48; gas: 3 black + 5 purple +4 blue <= 91; // 0 <= yellow < +inf; // 0 <= black < +inf; // 0 <= purple < +inf; // 0 <= blue < +inf; 第二題: 求此題的對偶 min: 6 drgeo -2 gnuplot -2 maxima -5 octave; fedora: 3 drgeo - gnuplot +7 maxima + octave >= 18; ubuntu: - drgeo +7 gnuplot +4 maxima +3 octave <= 79; knoppix: 5 drgeo -3 gnuplot +2 octave = 21; -inf < drgeo < +inf; // 0 <= gnuplot < +inf; // 0 <= maxima < +inf; -inf < octave <= 0; 第一題: 求此題的對偶 min: 42 cpu + 39 memory +17 mouse +25 printer; k900: 2 cpu - 5 memory -3 mouse +4 printer >= 17; civic: 14 cpu + 3 memory +4 mouse +5 printer >= 9; premium: 5 cpu +7 mouse + printer >= 10; // 0 <= cpu < +inf; // 0 <= memory < +inf; // 0 <= mouse < +inf; // 0 <= printer < +inf; 第二題: 求此題的對偶 max: apple +4 orange -3 banana + grape; morning: -4 apple +2 orange +7 banana +2 grape >= 49; noon: +3 orange -5 banana + grape <= 38; night: 7 apple + orange -2 banana +5 grape = 65; -inf < apple < +inf; // 0 <= orange < +inf; -inf < banana <= 0; // 0 <= grape < +inf;