Bai tap QHTT_Hinhhoc

Giải tốn sau phương pháp hình học 1) f ( x1 , x2 ) = x1 + x2 → 3 x1 + x2 ≤  2 x1 − x2 ≥  x ≥ 0, x ≥  (1) (2) 2) f ( x1 , x2 ) = x1 + x2 → max  x1 + x2 ≤  2 x1 − 3x2 ≥ −3  x ≥ 0, x ≥  (1) (2) 3) f ( x1 , x2 ) = x1 + x2 → max 3x1 + x2 ≤ 12  3x1 + x2 ≤  x ≥ 0, x ≥  (1) (2) 4) f ( x1 , x2 ) = x1 + 3x2 → max  x1 + x2 ≤ 12  3x1 + x2 ≤ 12  x ≥ 0, x ≥  (1) (2) 5) f ( x1 , x2 ) = − x1 + x2 → min(max) − x1 − x2 ≤ x − 2x ≤   − x1 + x2 ≤  x1 ≥ 0, x2 ≥ (1) (2) (3) 6) f ( x1 , x2 ) = x1 − x2 → max 4 x1 + x2 ≥ 12 − x + x ≤    x1 + x2 ≤  x1 ≥ 0, x2 ≥ (1) (2) (3) 7) f ( x1 , x2 ) = − x1 + x2 → max  x1 − x2 ≤ 20  − x1 + x2 ≤ 12  x ≥ 0, x ≥  (1) (2) 8) f ( x1 , x2 ) = − x1 + x2 → 4 x1 + x2 ≤ 20  x − 3x ≤    − x1 + x2 ≤  x1 ≥ 0, x2 ≥ (1) (2) (3) 9) f ( x1 , x2 ) = x1 − x2 → max  x1 + x2 ≤  x − 3x ≤   x2 ≤   x1 ≥ 0, x2 ≥ (1) (2) (3) 10) f ( x1 , x2 ) = −2 x1 − x2 →  x1 + x2 ≤ x + x ≥    x1 − x2 ≥  x1 ≥ 0, x2 ≥ (1) (2) (3) -TTTN -