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Maximum value of an objective function under given constraints (corner-point method)

This type of question, asked 10 times: May 2022 S1, 4 May 2023 S2, 9 May 2023 S2, 16 May 2023 S1, 11 May 2024 S2, 12 May 2024 S2, 25 Apr 2025 S2, 18 Apr 2026 S1, 18 Apr 2026 S2, 13 May 2026 S1. All 10 questions below, oldest first.

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  1. Question 1

    May 2022 S1

    112
    Maximum value of Z=5x+2yZ = 5x + 2y, subject to 2x−y≥22x - y \geq 2, x+2y≤8x + 2y \leq 8 and x,y≥0x, y \geq 0 is

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  2. Question 2

    4 May 2023 S2

    104
    The maximum value of the objective function z=4x+6yz=4x+6y subject to 3x+2y≤12,x+y≥4,x,y≥03x+2y\leq12, x+y\geq4, x, y\geq0 is

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  3. Question 3

    9 May 2023 S2

    101
    The maximum value of z=4x+2yz = 4x + 2y, subject to the constraints 3x+4y≥12,x+y≤5,x,y≥03x + 4y \geq 12, x + y \leq 5, x, y \geq 0 is

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  4. Question 4

    16 May 2023 S1

    134
    Maximum value of Z=100x+70yZ = 100x + 70y subject to 2x≥4,y≤3,x+y≤8,x,y≥02x \geq 4, y \leq 3, x+y \leq 8, x,y \geq 0 is

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  5. Question 5

    11 May 2024 S2

    105
    The maximum value of Z=3x+5yZ = 3x+5y subject to the constraints 3x+2y≤183x+2y \leq 18, x≤4x \leq 4, y≤6y \leq 6, x,y≥0x,y \geq 0, is

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  6. Question 6

    12 May 2024 S2

    142
    The maximum value of Z=7x+8yZ = 7x+8y subject to the constraints x+y≤20,  y≥5,  x≤10,  x≥0,  y≥0x+y \leq 20,\; y \geq 5,\; x \leq 10,\; x \geq 0,\; y \geq 0 is

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  7. Question 7

    25 Apr 2025 S2

    118
    In L.P.P., the maximum value of objective function Z=6x+3yZ = 6x+ 3y subject to constraints x+y≤5,x+2y≥4,4x+y≤12,x,y≥0x+y\leq 5,x+ 2y\geq 4,4x+y\leq 12,x,y\geq 0 is

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  8. Question 8

    18 Apr 2026 S1

    97
    The maximum value of Z=4x+5yZ = 4x + 5y, subject to the constraints 3x+y≤15,3x+4y≤24,x≥0,y≥03x + y \le 15, 3x + 4y \le 24, x \ge 0, y \ge 0 is

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  9. Question 9

    18 Apr 2026 S2

    97
    The maximum value of z=4x+yz = 4x + y subject to the constraints x+y≤5,2x+y≤7,3x+2y≤11,x≥0,y≥0x + y \le 5, 2x + y \le 7, 3x + 2y \le 11, x \ge 0, y \ge 0 is …\ldots

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  10. Question 10

    13 May 2026 S1

    97
    The maximum value of Z=7x−6yZ = 7x - 6y subject to 0≤x≤50 \le x \le 5 and 0≤y≤30 \le y \le 3 is...

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