Question

F(x) = 8x2 + 7x4 + x6 → max; x1 − 2x2 − 3x4 − 2x6 = 12, 4x2 + x3 − 4x4 − 3x6 = 12, 5x2 + 5x4 + x5 + x6 = 25, xj ≥ 0 (j = 1, 6).

Answer 1

1. f(x) = 2x4 – 3x2 + 6x + 4; g(x) = –3x3 – 5x2 + 3x – 2; 2. f(x) = 3x5 – 2x4 + x 2 – 6х; g(x) = 4x4 – 2x2 + 3x – 3; 3. f(x) = 4x3 – 2x2 + 6x – 7; g(x) = –2x4 + 2x3 – 3x2 – 4х; 4. f(x) = 2x6 – 3x3 + 4x – 8; g(x) = –3x5 – 2x2 + 6x + 3; 5. f(x) = 3x6 – x 5 + 2x3 – 4х 2 ; g(x) = –4x4 – 3x3 – 2x2 + 2х; 6. f(x) = 7x4 – 3x2 – 2x + 6; g(x) = 5x3 – 2x2 – 6x – 5; 7. f(x) = –2x4 + 8x3 – 3x – 2; g(x) = 4x6 – 2x3 + 8x + 3; 8. f(x) = 4x5 – 2x4 – x 3 + 6х – 3; g(x) = –3x4 – 2x2 + 6; 9. f(x) = –5x3 – 2x2 + 3x – 2; g(x) = 4x6 – 2x3 + 3x – 7; 10. f(x) = –2x7 – 4x6 + 3x2 + 6х; g(x) = 6x3 – 5x2 + 8x – 7; 11. f(x) = 8x3 – 4x2 – x + 5; g(x) = –4x5 + 3x3 – 2x2 + 7х; 12. f(x) = –3x3 + 6x2 + 4x – 2; g(x) = 4x6 – 2x5 – 6x3 + 5; 13. f(x) = –6x4 + 2x3 – 7x + 6; g(x) = 3x5 – 2x4 + 3x2 – 5х; 14. f(x) = –4x5 + 2x2 – 5x – 3; g(x) = 5x3 – 2x2 + 6x – 8; 15. f(x) = –2x8 + 4x5 – 6x3 + х– 2; g(x) = 4x3 – 8x2 + 5; 16. f(x) = 3x7 – 2x6 + 4x2 –3х–5; g(x) = –4x3 – 7x – 2; 17. f(x) = 5x8 – x 7 + 2x5 – 3х + 1; g(x) = –6x2 + 3x – 5; 18. f(x) = 4x6 – 3x5 + 5x2 –2х–2; g(x) = –2x2 + 7x – 3; 19. f(x) = 3x8 – 7x6 + 2x2 +3х+5; g(x) = 6x2 – 3x – 4; 20. f(x) = –3x7 – 5x5 – 2x3 + 4х; g(x) = 5x3 + 8x2 – 7; 21. f(x) = –4x8 –2x6 +3x4 +2x–3; g(x) = –4x5 + 3x3 – 2x2 + 7х; 22. f(x) = 2x7 + 3x5 – x 3 +7x2 –8; g(x) = –4x3 – 5x + 8; 23. f(x) = 3x6 – 2x3 +4x2 –5x–3; g(x) = –2x4 + 3x3 – 5; 24. f(x) = 3x4 – 2x3 +3x2 –6x–7; g(x) = –6x2 + 7х – 2; 25. f(x) = –8x3 + 6x2 – 3x + 2; g(x) = 3x5 + x 2 – 2x + 5; 26. f(x) = –7x4 + 4x3 – 2x2 – 6; g(x) = 5x4 – 8x3 – 3x2 – 2х; 27. f(x) = 3x8 –7x4 +4x3 –2x2 +3; g(x) = –6x2 – 8x3 – 7; 28. f(x) = 9x7 – 2x8 +6x3 –2х+1; g(x) = –5x3 – 3x2 + 6; 29. f(x) = –7x6 + 5x5 – 2x + 8; g(x) = 4x4 – 3x2 + 3x + 5; 30. f(x) = –6x7 +2x6 –x 5 +4х–3; g(x) = –2x3 – 6x2 + 4х; 31. f(x) =2x6 +9x5 –7x4 +2х 2 –3х; g(x) = 3x4 – 5x2 + 6; 32. f(x) = 3x4 – x 3 +2x2 –6х–7; g(x) = –8x2 + 5x + 9; 33. f(x) = –5x4 + 6x3 – 2x + 4; g(x) = –3x3 + 6x2 – 7x – 9; 34. f(x) = –2x6 + 7x5 – 4x2 + 8х; g(x) = –5x4 + 2x3 + 7х + 9; 35. f(x) = –7x5 + 2x3 – 4x2 – 9; g(x) = 5x4 – 6x3 + 4x – 7; 36. f(x) = 9x8 + 2x5 –4x3 +2х–3; g(x) = –5x4 – 3x3 + 6х.