Контрольная работа

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1.

x₁ +6x₂≤ 12,

5x₁+8x₂ ≤ 40

5,5x₁+2x₂ ≤ 22

ƒ( x ) = 7x₁ +4x₂→max

2.

-x₁+2x₂≤ 2

3x₁+2x₂≤ 6

ƒ( x ) = x₁ +4x₂→max

3.

x₁-2x₂ ≤ 2

-2x₁+x₂≤ 2

x₁+ x₂ ≤ 3

ƒ( x ) = x₁ +2x₂→max

4.

3x₁ +5x₂≤11,

4x₁+x₂ ≤ 8

ƒ( x ) = x₁ +4x₂→max

5.

3x₁ +2x₂≤5,

x₂ ≤ 2

ƒ( x ) = x₁ +x₂→max

6.

3x₁ +2x₂≤8,

x₁+4 x₂ ≤ 10

ƒ( x ) = 3x₁ +4x₂→max

7.

5x₁ - 2x₂≤3,

x₁+ x₂ ≤ 1

ƒ( x ) = x₁ -2x₂→max

8. x₁+2x₂ ≤ 10

-4x₁+3x₂≤ 12

3x₁- 4x₂ ≤ 12

ƒ( x ) = x₁ +x₂→max

9.

2x₁ +20x₂≤ 20,

4x₁+8x₂ ≤ 16,

12x₁+3x₂ ≤ 24,

ƒ( x ) = x₁ +3x₂→max

10.

2x₁ +5x₂≤ 20,

6x₁+7x₂ ≤ 42,

10x₁+3x₂ ≤ 30,

ƒ( x ) = 4x₁ +4x₂→max

11.

x₁ -2x₂≤ 2,

-2x₁+x₂ ≤ 2

x₁+x₂ ≤ 3

ƒ( x ) = x₁ +2x₂→max

12.

2x₁ +5x₂≤ 20,

6x₁+5x₂ ≤ 30

x₁-2x₂ ≤ 3

ƒ( x ) = 4x₁ +2x₂→max

13.

x₁ +4x₂≤ 12,

x₁+2x₂ ≤ 10,

2x₁+x₂ ≤ 12,

ƒ( x ) =3x₁ +8x₂→max

14.

8x₁ +2x₂≤ 89,

x₁≤ 22,

5x₂ ≤ 90,

ƒ( x ) = 4x₁ +3x₂→max

15.

3x₁ -2x₂≤ 3,

-5x₁- 4x₂ ≤ -10,

2x₁+ x₂ ≤ 5,

ƒ( x ) = 3x₁ - x₂→max

16.

x₁ +4x₂≤ 12,

2x₁+3x₂ ≤ 12,

x₁ ≤ 4,

ƒ( x ) = 4x₁+12x₂→max

17.

2x₁ +18x₂≤ 18,

3x₁+7x₂ ≤21,

4x₁+5x₂ ≤ 20,

ƒ( x ) =2x₁ +4x₂→max

18.

x₁ +3x₂≤ 15,

x₁+x₂ ≤ 6,

2x₁+x₂ ≤ 10,

ƒ( x ) =x₁ +4x₂→max

19.

2x₁ +2x₂≤ 12,

3,5x₁+2x₂ ≤ 14,

11x₁+3x₂ ≤ 33,

ƒ( x ) =6x₁ +2x₂→max

20.

2x₁ +7x₂≤ 14,

3x₁+5x₂ ≤ 15,

10x₁+6x₂ ≤ 30,

ƒ( x ) =3x₁ +2x₂→max

21.

3x₁ +11x₂≤ 33,

3x₁+4x₂ ≤24,

20x₁+4x₂ ≤ 40,

ƒ( x ) =3x₁ +6x₂→max

22.

2x₁ + x₂≤ 6,

x₁+2x₂ ≤10,

3x₁- x₂ ≤ 3,

ƒ( x ) =3x₁ +4x₂→max

23.

4x₁ + 5x₂≤ 20,

2x₁+ x₂ ≤ 6,

x₁- x₂ ≤ 2,

ƒ( x ) =3x₁ +x₂→max

24.

3₁ +11x₂≤ 33,

7x₁+6x₂ ≤42,

8x₁+2x₂ ≤ 24,

ƒ( x ) =3x₁ +6x₂→max

25.

2x₁ +5x₂≤ 20,

6x₁+7x₂ ≤42,

10x₁+3x₂ ≤ 30,

ƒ( x ) =7x₁ +4x₂→max

26.

x₁ + 4x₂≤ 12,

x₁+2x₂ ≤10,

2x₁+ x₂ ≤ 12,

ƒ( x ) =3x₁ +2x₂→max

27.

x₁ +4x₂≤ 12,

2x₁+3x₂ ≤12,

x₁≤ 4,

ƒ( x ) =4x₁ +12x₂→max

28.

3x₁ +2x₂≤ 5,

x₂ ≤2,

ƒ( x ) =x₁ +x₂→max