Висновки

1. max z = 7x₁ + 6x₂ ;

2. max z = 3x₁ + 2x₂ ;

3. max z = 2x₁ + 2x₂ ;

x₁ + x₂  8;

(1)

2x₁ + x₂  11;

(1)

–3x₁ + 2x₂  6;

(1)

2x₁ + 5x₂  10;

(2)

–3x₁ + 2x₂  10;

(2)

x₁ + x₂  3;

(2)

5x₁ + 2x₂  10;

(3)

3x₁ + 4x₂  20;

(3)

x₁  3;

(3)

x₁ +  6;

(4)

x_{1 –} 2x₂  4;

(4)

x₂  5;

(4)

x₂  5;

(5)

x₁ + x₂  1;

(5)

4x₁ + 5x₂  40;

(5)

x₁ , x₂  0.

x₁ , x₂  0.

x₁ , x₂  0.

4. max z = 2x₁ + x₂ ;

5. max z = x₁ + x₂ ;

6. max z = 15x₁ + 3x₂ ;

x₁ + x₂  10;

(1)

5x_{1 + 4}x₂  40 ;

(1)

5x₁ + 3x₂  15;

(1)

–3x₁ + 2x₂  6;

(2)

x₁ + 2x₂  12;

(2)

x₁ + 2x₂  10;

(2)

x₁ + x₂  3;

(3)

x₂  4 ;

(3)

x₁  2;

(3)

x₁  3;

(4)

–x₁ + x₂  3 ;

(4)

x₂  4;

(4)

x₂  5;

(5)

x₁ – 2x₂  4;

(5)

x₁ , x₂  0.

x₁ , x₂  0.

x₁ , x₂  0.

7. max z = x_{1 + 2}x₂ ;

8. max z = 3x₁ + 3x₂ ;

9. max z = x₁ + 2x₂ ;

4x₁ – 2x₂  4 ;

(1)

–2x₁ + x₂  2;

(1)

–3x₁ + 2x₂  9;

(1)

–x₁ + 2x₂  4;

(2)

x₁ + 2x₂  6;

(2)

3x₁ + 4x₂  27;

(2)

x₁ + x₂  1;

(3)

x₁ + 2x₂  2;

(3)

2x₁ + x₂  14;

(3)

x₁ + x₂  4;

(4)

3x₁ + 2x₂  6;

(4)

x_{1 + x2}  3;

(4)

x₁ , x₂  0.

x₁ , x₂  0.

x₁ , x₂  0.

10. max z = 2x₁ – x₂ ;

11. max z = 7x₁ + 6x₂ ;

12. max z = 4x₁ + 2x₂ ;

–x₁ + x₂  3;

(1)

x₁ + x₂  14;

(1)

x₁ + x₂  5;

(1)

6x₁ + 7x₂  42;

(2)

3x₁ – 5x₂  15;

(2)

3x₁ – 2x₂  6;

(2)

2x₁ – 3x₂  6;

(3)

6x₁ + 3x₂  21;

(3)

x₁  4;

(3)

x₁ + x₂  4;

(4)

x₁  15;

(4)

x₂  4;

(4)

x₂  4;

(5)

x₂  10;

(5)

x₁ , x₂  0.

x₁ , x₂  0.

x₁ , x₂  0.

13. max z = x₁ +2x₂;

14. max z = –x₁ + 5x₂;

15. max z = 3x₁ +x₂ ;

–x₁ + x₂  3;

(1)

–4x₁ + 4x₂  20;

(1)

–x₁ + x₂  6;

(1)

3x₁ – x₂  3;

(2)

5x₁ + 4x₂  6;

(2)

3x₁ – x₂  6;

(2)

4x₁ + 1,5x₂  6;

(3)

2x₁ + 3x₂  15;

(3)

x₁ + x₂  2;

(3)

x₁ + x₂  1;

(4)

3x₁ – 2x₂  12;

(4)

x₁ – x₂  0;

(4)

–2x₁ + x₂  2;

(5)

x₁, x₂  0.

x₁  1;

(5)

x₁, x₂  0.

x₁ , x₂  0.

16. max z = 2x₁ + x₂;

17. min z = 3x₁ + 2x₂;

18. min z = x₁ + x₂;

–x₁ + 2x₂  6;

(1)

x₁ + 6x₂  6;

(1)

3x₁ + x₂  9;

(1)

2x₁ – x₂  6;

(2)

–2x₁ – x₂  6;

(2)

x₁ + 2x₂  6;

(2)

2x₁ + x₂  4;

(3)

2x₁ + 5x₂  10;

(3)

x₁ – x₂ 3;

(3)

–x₁ + 3x₂  3;

(4)

5x₁ + 2x₂  10;

(4)

x₂  6;

(4)

x₂  2;

(5)

6x₁ + x₂  6;

(5)

x₁ , x₂  0.

x₁ , x₂  0.

x₁ , x₂  0.

19. min z = 3x₁ + 2x₂;

20. min z = x₁ + x₂;

21. min z = 7x₁ – x₂;

2x₁ + x₂  8;

(1)

2x₁ + x₂  4;

(1)

x₁ + x₂  3;

(1)

x₁ + 3x₂  9;

(2)

x₁ + x₂  10;

(2)

5x₁ + 2x₂  10;

(2)

x₁ + x₂  12;

(3)

x₁ + 5x₂  5;

(3)

x₁ + 5x₂  5;

(3)

–x₁ + x₂  7;

(4)

x₁  7;

(4)

x₁  4;

(4)

x₂  10;

(5)

x₁ , x₂  0.

x₂  4;

(5)

x₁ , x₂  0.

x₁ , x₂  0.

22. min z = x₁ + x₂;

23. min z = x₁ + 3x₂;

24.min z = x₁ + 1x₂;

3x₁ + x₂  9;

(1)

–x₁ + x₂  6;

(1)

–5x₁ + x₂  5;

(1)

1x₁ + 2x₂  6;

(2)

x₁ – x₂  2;

(2)

–x₁ + x₂  2;

(2)

x₁ – x₂  3;

(3)

5x₁ + 3x₂  30;

(3)

5x₁ + 2x₂  20;

(3)

x₂  5;

(4)

x₁  10;

(4)

x₁  6;

(4)

x₁ , x₂  0.

x₂  10;

(5)

x₁ , x₂  0.

x₁ , x₂  0.

25. min z = 3x₁ + 3x₂;

26. min z = 2x₁ + x₂;

27. min z = 2x₁ + x₂;

x₁ + 10x₂  10;

(1)

x₁ – x₂  6;

(1)

–2x₁ + 3x₂  12;

(1)

2x₁ + 5x₂  10;

(2)

x₁ – 4x₂  4;

(2)

x₁ – x₂  0;

(2)

5x₁ + 2x₂  10;

(3)

–x₁ + 2x₂  6;

(3)

x₁ + x₂  15;

(3)

6x₁ + 1x₂  6;

(4)

x₁  12;

(4)

2x₁ + 1x₂  12;

(4)

x₁  6;

(5)

x₁ , x₂  0.

x₁ , x₂  0.

x₁ , x₂  0.

28. min z = x₁ + 2x₂;

–x₁ + 2x₂  2;

(1)

x₁ + x₂  14;

(2)

x₁ – x₂  2;

(3)

x₂  5;

(4)

x₁ , x₂  0.