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Maximize : Z = x + y,subject to the co...

Maximize :
`Z = x + y`,subject to the constraints:
`x - y le -1, -x + y le 0, x ge 0, y ge 0`

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The correct Answer is:
To solve the problem of maximizing \( Z = x + y \) subject to the given constraints, we will follow these steps: ### Step 1: Write down the constraints The constraints given are: 1. \( x - y \leq -1 \) 2. \( -x + y \leq 0 \) 3. \( x \geq 0 \) 4. \( y \geq 0 \)
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MODERN PUBLICATION-LINEAR PROGRAMMING -EXERCISE 12(b) (Long Answer Tyoe Questions(I)) (LATQ)
  1. Z= 4x + 7y x + 2y le 20, x + y le 15, x ge 0, y ge 0.

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  2. Z = -3x + 4y x + 2y le 8, 3x + 2y le 12, x ge 0 , y ge 0.

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  3. Z = 6x + 11y 2x + y le 104, x + 2y le 76, x, y ge 0

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  4. Z = 7x + 4y 2x + y le 10, x + 2y le 12, x ge 0, y ge 0

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  5. (i) Z = 20x + 10y x + 2y le 28, 3x + y le 24, x ge 2, x, y ge 0 (ii...

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  6. Minimize (16-21): OBJECTIVE FUNCTION CONSTRAINTS Z = 200x + 500y ...

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  7. Z = -3x + 4y x + 2y le 8, 3x + 2y le 12, x ge 0, y ge 0

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  8. Z = 3x + 5y x + 3y ge 3, x + y ge 2,x ge 0, y ge 0

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  9. Z = 2x + 3y x ge 0, y ge 0, 1 le x + 2y le10

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  10. Z = 3x + 9y x + 3y le 60, x + y ge 10, x le y , x ge 0, y ge 0

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  11. Z = 5x + 10y x + y ge 60, x + 2y le 120, x -2y ge 0, x, y ge 0

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  12. Maximize if possible: (i) Z = 3x + 2y subject to the constraints: x ...

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  13. Maximize: Z = -x + 2y, subject to the constraints: x ge 3, x + y ...

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  14. Maximize : Z = x + y,subject to the constraints: x - y le -1, -x +...

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  15. Minimize and Maximize(25-29): OBJECTIVE FUNCTION CONSTRAINTS Z = ...

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  16. Z = 5x + 10y x + 2y le 120, x + y ge 60, x - 2y ge 0, x ge 0 , y ge ...

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  17. Z = 15x + 30y x + y le 8, 2x + y ge 8, x - 2y ge 0, x, y ge 0

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  18. Z = x + 2y x + 2y ge 100, x - y le 0, 2x + y le 200, x, y ge 0

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  19. (i)Z = 3x + 2y x + 3y le 60, x + y ge 10, x le y, x, y ge 0 (ii)Z = ...

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  20. Consider the following LPP: Maximize Z = 3x + 2y subject to the cons...

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