Розв’язати задачу лінійного програмування графічним методом і методом симплекс-таблиць (номер завдання відповідає двом останнім цифрам залікової книжки студента, крім цифр 00 – які відповідають завданню під номером100)
F(x1,x2) = -3x1 + 6x2 min ;
5x1 – 2x2 4,
-x1 + 2x2 4,
x1 + x2 4,
x1 0, x2 0.
F(x1,x2) = 3x1 + 3x2 max ;
x1 + x2 8,
3x1 + 7x2 21,
x1 + 2x2 6,
0x1 7, 0 x2 7.
F(x1,x2) = x1 + x2 max ;
x1 + x2 1,
-5x1 + x2 0,
-x1 + 5x2 0,
x1 + x2 6,
x1 0, x2 0.
F(x1,x2) = x1 + x2 max ;
5x1 – 2x2 7,
-x1 + x2 5,
x1 + x2 6,
x1 0, x2 0.
F(x1,x2) = -2x1 + x2 min ;
2x1 + x2 8,
x1 + 3x2 6,
3x1 + x2 3,
x1 0, x2 0.
F(x1,x2) = -2x1 + x2 min ;
2x1 – x2 8,
x1 + x2 5,
-3x1 + 2x2 3,
x1 0, x2 0.
F(x1,x2) = 2x1 - x2 max;
2x1 – x2 8,
x1 + x2 4,
-3x1 + 2x2 3,
x1 0, x2 0.
F(x1,x2) = -3x1 + 2x2 min ;
x1 + 2x2 10,
3x1 + x2 15,
x1 0, x2 0.
F(x1,x2) = 2x1 + 2x2 max ;
3x1 - 2x2 -6,
x1 + 2x2 3,
3x1 0, 5 x2 0.
F(x1,x2) = 3x1 + 3x2 max ;
x1 + x2 4,
3x1 + x2 4,
x1 + 5x2 4,
3 x1 0; 3 x2 0.
F(x1,x2) = x1 + 2x2 max ;
5x1 – 2x2 4,
x1 - 2x2 -4,
x1 + x2 4,
x1 0, x2 0.
F(x1,x2) = 2x1 - x2 max ;
x1 – x2 -3,
6x1 + 7x2 42,
2x1 - 3x2 6,
x1 0, x2 0.
F(x1,x2) = 2x1 - 4x2 min ;
8x1 – 5x2 16,
x1 + 3x2 2,
2x1 + 7x2 9,
x1 0, x2 0.
F(x1,x2) = 5x1 - 2x2 max ;
5x1 + 2x2 10,
2x1 + 5x2 10,
-2x1 + x2 4,
6x1 0, 6 x2 0.
F(x1,x2) = 7x1 + 5x2 max ;
7x1 + 5x2 7,
7x1 - 5x2 35,
x1 - x2 0,
x1 0, x2 0.
F(x1,x2) = 3x1 - 2x2 min ;
2x1 + x2 14,
-3x1 + 2x2 9,
3x1 + 4x2 27,
x1 0, x2 0.
F(x1,x2) = 2x1 - 3x2 max ;
5x1 + 2x2 10,
x1 + 3x2 12,
x1 0, x2 0.
F(x1,x2) = x1 + x2 max ;
2x1 + 11x2 38,
x1 + x2 7,
4x1 - 5x2 5,
x1 0, x2 0.
F(x1,x2) = -2x1 + x2 min ;
x1 + x2 6,
-3x1 + 2x2 3,
x1 0, x2 0.
F(x1,x2) = 6x1 + 4x2 min ;
2x1 + x2 3,
x1 - x2 1,
x1 0, x2 0.
F(x1,x2) = 3x1 + 2x2 max ;
4x1 + 2x2 12,
x1 + 2x2 10,
2x1 + 2x2 = 6,
x1 0, x2 0.
F(x1,x2) = 2x1 + 6x2 max ;
8x1 – 5x2 40,
2x1 + 5x2 10,
-6x1 + 5x2 60,
2x1 + x2 14,
x1 0, x2 0.
F(x1,x2) = 3x1 + x2 max ;
x1 + 2x2 5,
2x1 + 4x2 16,
6x1 + x2 6,
x1 + 3x2 9,
x1 0, x2 0.
F(x1,x2) = -x1 + 2x2 min ;
5x1 – 2x2 4,
-x1 + 2x2 4,
x1 + x2 4,
x1 0, x2 0.
F(x1,x2) = x1 + x2 max ;
x1 + x2 8,
3x1 + 7x2 21,
x1 + 2x2 6,
0x1 7, 0 x2 7.
F(x1,x2) = 2x1 + 2x2 max ;
x1 + x2 1,
-5x1 + x2 0,
-x1 + 5x2 0,
x1 + x2 6,
x1 0, x2 0.
F(x1,x2) = 3x1 + 3x2 max ;
5x1 – 2x2 7,
-x1 + x2 5,
x1 + x2 6,
x1 0, x2 0.
F(x1,x2) = -4x1 + 2x2 min ;
2x1 + x2 8,
x1 + 3x2 6,
3x1 + x2 3,
x1 0, x2 0.
F(x1,x2) = -4x1 + 2x2 min ;
2x1 – x2 8,
x1 + x2 5,
-3x1 + 2x2 3,
x1 0, x2 0.
F(x1,x2) = 4x1 - 2x2 max;
2x1 – x2 8,
x1 + x2 4,
-3x1 + 2x2 3,
x1 0, x2 0.
F(x1,x2) = -6x1 + 4x2 min ;
x1 + 2x2 10,
3x1 + x2 15,
x1 0, x2 0.
F(x1,x2) = x1 + x2 max ;
3x1 - 2x2 -6,
x1 + 2x2 3,
3x1 0, 5 x2 0.
F(x1,x2) = 2x1 + 2x2 max ;
x1 + x2 4,
3x1 + x2 4,
x1 + 5x2 4,
3 x1 0; 3 x2 0.
F(x1,x2) = 2x1 + 4x2 max ;
5x1 – 2x2 4,
x1 - 2x2 -4,
x1 + x2 4,
x1 0, x2 0.
F(x1,x2) = 4x1 - 2x2 max ;
x1 – x2 -3,
6x1 + 7x2 42,
2x1 - 3x2 6,
x1 0, x2 0.
F(x1,x2) = x1 - 2x2 min ;
8x1 – 5x2 16,
x1 + 3x2 2,
2x1 + 7x2 9,
x1 0, x2 0.
F(x1,x2) = 10x1 - 4x2 max ;
5x1 + 2x2 10,
2x1 + 5x2 10,
-2x1 + x2 4,
6x1 0, 6 x2 0.
F(x1,x2) = 14x1 + 10x2 max ;
7x1 + 5x2 7,
7x1 - 5x2 35,
x1 - x2 0,
x1 0, x2 0.
F(x1,x2) = 6x1 - 4x2 min ;
2x1 + x2 14,
-3x1 + 2x2 9,
3x1 + 4x2 27,
x1 0, x2 0.
F(x1,x2) = 4x1 - 6x2 max ;
5x1 + 2x2 10,
x1 + 3x2 12,
x1 0, x2 0.
F(x1,x2) = 2x1 + 2x2 max ;
2x1 + 11x2 38,
x1 + x2 7,
4x1 - 5x2 5,
x1 0, x2 0.
F(x1,x2) = -4x1 + 2x2 min ;
x1 + x2 6,
-3x1 + 2x2 3,
x1 0, x2 0.
F(x1,x2) = 3x1 + 2x2 min ;
2x1 + x2 3,
x1 - x2 1,
x1 0, x2 0.
F(x1,x2) = 6x1 + 4x2 max ;
4x1 + 2x2 12,
x1 + 2x2 10,
2x1 + 2x2 = 6,
x1 0, x2 0.
F(x1,x2) = x1 + 3x2 max ;
8x1 – 5x2 40,
2x1 + 5x2 10,
-6x1 + 5x2 60,
2x1 + x2 14,
x1 0, x2 0.
F(x1,x2) = 6x1 + 2x2 max ;
x1 + 2x2 5,
2x1 + 4x2 16,
6x1 + x2 6,
x1 + 3x2 9,
x1 0, x2 0.
F(x1,x2) = -3x1 + 2x2 min ;
5x1 – 2x2 4,
-x1 + 2x2 4,
x1 + x2 4,
x1 0, x2 0.
F(x1,x2) = 3x1 + 6x2 max ;
x1 + x2 8,
3x1 + 7x2 21,
x1 + 2x2 6,
0x1 7, 0 x2 7.
F(x1,x2) = x1 + 2x2 max ;
x1 + x2 1,
-5x1 + x2 0,
-x1 + 5x2 0,
x1 + x2 6,
x1 0, x2 0.
F(x1,x2) = x1 + 2x2 max ;
5x1 – 2x2 7,
-x1 + x2 5,
x1 + x2 6,
x1 0, x2 0.
F(x1,x2) = -2x1 + 2x2 min ;
2x1 + x2 8,
x1 + 3x2 6,
3x1 + x2 3,
x1 0, x2 0.
F(x1,x2) = -2x1 + 2x2 min ;
2x1 – x2 8,
x1 + x2 5,
-3x1 + 2x2 3,
x1 0, x2 0.
F(x1,x2) = 2x1 - 2x2 max;
2x1 – x2 8,
x1 + x2 4,
-3x1 + 2x2 3,
x1 0, x2 0.
F(x1,x2) = -3x1 + 3x2 min ;
x1 + 2x2 10,
3x1 + x2 15,
x1 0, x2 0.
F(x1,x2) = 2x1 + 3x2 max ;
3x1 - 2x2 -6,
x1 + 2x2 3,
3x1 0, 5 x2 0.
F(x1,x2) = 3x1 + 6x2 max ;
x1 + x2 4,
3x1 + x2 4,
x1 + 5x2 4,
3 x1 0; 3 x2 0.
F(x1,x2) = x1 + x2 max ;
5x1 – 2x2 4,
x1 - 2x2 -4,
x1 + x2 4,
x1 0, x2 0.
F(x1,x2) = 2x1 - 2x2 max ;
x1 – x2 -3,
6x1 + 7x2 42,
2x1 - 3x2 6,
x1 0, x2 0.
F(x1,x2) = 2x1 - 2x2 min ;
8x1 – 5x2 16,
x1 + 3x2 2,
2x1 + 7x2 9,
x1 0, x2 0.
F(x1,x2) = 5x1 - 4x2 max ;
5x1 + 2x2 10,
2x1 + 5x2 10,
-2x1 + x2 4,
6x1 0, 6 x2 0.
F(x1,x2) = 7x1 + 7x2 max ;
7x1 + 5x2 7,
7x1 - 5x2 35,
x1 - x2 0,
x1 0, x2 0.
F(x1,x2) = 3x1 - 3x2 min ;
2x1 + x2 14,
-3x1 + 2x2 9,
3x1 + 4x2 27,
x1 0, x2 0.
F(x1,x2) = 2x1 - 2x2 max ;
5x1 + 2x2 10,
x1 + 3x2 12,
x1 0, x2 0.
F(x1,x2) = x1 + 2x2 max ;
2x1 + 11x2 38,
x1 + x2 7,
4x1 - 5x2 5,
x1 0, x2 0.
F(x1,x2) = -2x1 + 2x2 min ;
x1 + x2 6,
-3x1 + 2x2 3,
x1 0, x2 0.
F(x1,x2) = 6x1 + 6x2 min ;
2x1 + x2 3,
x1 - x2 1,
x1 0, x2 0.
F(x1,x2) = 3x1 + 3x2 max ;
4x1 + 2x2 12,
x1 + 2x2 10,
2x1 + 2x2 = 6,
x1 0, x2 0.
F(x1,x2) = 2x1 + 4x2 max ;
8x1 – 5x2 40,
2x1 + 5x2 10,
-6x1 + 5x2 60,
2x1 + x2 14,
x1 0, x2 0.
F(x1,x2) = 3x1 + 2x2 max ;
x1 + 2x2 5,
2x1 + 4x2 16,
6x1 + x2 6,
x1 + 3x2 9,
x1 0, x2 0.
F(x1,x2) = -4x1 + 2x2 min ;
5x1 – 2x2 4,
-x1 + 2x2 4,
x1 + x2 4,
x1 0, x2 0.
F(x1,x2) = 4x1 + 6x2 max ;
x1 + x2 8,
3x1 + 7x2 21,
x1 + 2x2 6,
0x1 7, 0 x2 7.
F(x1,x2) = 2x1 + 2x2 max ;
x1 + x2 1,
-5x1 + x2 0,
-x1 + 5x2 0,
x1 + x2 6,
x1 0, x2 0.
F(x1,x2) = 2x1 + 2x2 max ;
5x1 – 2x2 7,
-x1 + x2 5,
x1 + x2 6,
x1 0, x2 0.
F(x1,x2) = -4x1 + 2x2 min ;
2x1 + x2 8,
x1 + 3x2 6,
3x1 + x2 3,
x1 0, x2 0.
F(x1,x2) = -4x1 + 2x2 min ;
2x1 – x2 8,
x1 + x2 5,
-3x1 + 2x2 3,
x1 0, x2 0.
F(x1,x2) = 3x1 - 2x2 max;
2x1 – x2 8,
x1 + x2 4,
-3x1 + 2x2 3,
x1 0, x2 0.
F(x1,x2) = -4x1 + 3x2 min ;
x1 + 2x2 10,
3x1 + x2 15,
x1 0, x2 0.
F(x1,x2) = 3x1 + 3x2 max ;
3x1 - 2x2 -6,
x1 + 2x2 3,
3x1 0, 5 x2 0.
F(x1,x2) = 4x1 + 6x2 max ;
x1 + x2 4,
3x1 + x2 4,
x1 + 5x2 4,
3 x1 0; 3 x2 0.
F(x1,x2) = 2x1 + x2 max ;
5x1 – 2x2 4,
x1 - 2x2 -4,
x1 + x2 4,
x1 0, x2 0.
F(x1,x2) = 3x1 - 2x2 max ;
x1 – x2 -3,
6x1 + 7x2 42,
2x1 - 3x2 6,
x1 0, x2 0.
F(x1,x2) = 3x1 - 2x2 min ;
8x1 – 5x2 16,
x1 + 3x2 2,
2x1 + 7x2 9,
x1 0, x2 0.
F(x1,x2) = 6x1 - 4x2 max ;
5x1 + 2x2 10,
2x1 + 5x2 10,
-2x1 + x2 4,
6x1 0, 6 x2 0.
F(x1,x2) = 5x1 + 7x2 max ;
7x1 + 5x2 7,
7x1 - 5x2 35,
x1 - x2 0,
x1 0, x2 0.
F(x1,x2) = 4x1 - 3x2 min ;
2x1 + x2 14,
-3x1 + 2x2 9,
3x1 + 4x2 27,
x1 0, x2 0.
F(x1,x2) = 3x1 - 2x2 max ;
5x1 + 2x2 10,
x1 + 3x2 12,
x1 0, x2 0.
F(x1,x2) = 2x1 + 2x2 max ;
2x1 + 11x2 38,
x1 + x2 7,
4x1 - 5x2 5,
x1 0, x2 0.
F(x1,x2) = -3x1 + 2x2 min ;
x1 + x2 6,
-3x1 + 2x2 3,
x1 0, x2 0.
F(x1,x2) = 5x1 + 6x2 min ;
2x1 + x2 3,
x1 - x2 1,
x1 0, x2 0.
F(x1,x2) = 2x1 + 3x2 max ;
4x1 + 2x2 12,
x1 + 2x2 10,
2x1 + 2x2 = 6,
x1 0, x2 0.
F(x1,x2) = 3x1 + 4x2 max ;
8x1 – 5x2 40,
2x1 + 5x2 10,
-6x1 + 5x2 60,
2x1 + x2 14,
x1 0, x2 0.
F(x1,x2) = 4x1 + 2x2 max ;
x1 + 2x2 5,
2x1 + 4x2 16,
6x1 + x2 6,
x1 + 3x2 9,
x1 0, x2 0.
F(x1,x2) = -3x1 + 6x2 max ;
5x1 – 2x2 4,
-x1 + 2x2 4,
x1 + x2 4,
x1 0, x2 0.
F(x1,x2) = x1 + x2 max ;
x1 + x2 8,
3x1 + 7x2 21,
x1 + 2x2 6,
0x1 7, 0 x2 7.
F(x1,x2) = 2x1 + 2x2 max ;
x1 + x2 1,
-5x1 + x2 0,
-x1 + 5x2 0,
x1 + x2 6,
x1 0, x2 0.
F(x1,x2) = 2x1 + 3x2 max ;
5x1 – 2x2 7,
-x1 + x2 5,
x1 + x2 6,
x1 0, x2 0.
F(x1,x2) = x1 + x2 max ;
2x1 + x2 8,
x1 + 3x2 6,
3x1 + x2 3,
x1 0, x2 0.
F(x1,x2) = x1 + x2 max ;
2x1 – x2 8,
x1 + x2 5,
-3x1 + 2x2 3,
x1 0, x2 0.
F(x1,x2) = 2x1 - x2 min;
2x1 – x2 8,
x1 + x2 4,
-3x1 + 2x2 3,
x1 0, x2 0.
F(x1,x2) = -x1 + 2x2 min ;
x1 + 2x2 10,
3x1 + x2 15,
-3x1 + 2x2 3,
x1 0, x2 0.