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Does the LPP have a unique optimum, infinitely many optima or none

This type of question, asked 9 times: 3 May 2023 S2, 9 May 2023 S1, 21 Apr 2025 S1, 21 Apr 2025 S2, 26 Apr 2025 S1, 17 Apr 2026 S1, 20 Apr 2026 S2, 15 May 2026 S1, 15 May 2026 S2. All 9 questions below, oldest first.

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  1. Question 1

    3 May 2023 S2

    134
    The maximum value of Z=x+yZ=x+y, subjected to x+y≤10,  5x+3y≥15,  x≤6,  x,y≥0x+y\leq10,\;5x+3y\geq15,\;x\leq6,\;x,y\geq0

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  2. Question 2

    9 May 2023 S1

    126
    The maximum value of z=x+yz=x+y, subjected to x+y≤10x+y\leq10, 5x+3y≥155x+3y\geq15, x≤6x\leq6, x,y≥0x,y\geq0

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  3. Question 3

    21 Apr 2025 S1

    139
    The L.P.P. , minimize z=30x+20y,x+y≤8z= 30x+ 20y,x+y\leq 8, x+2y≥4,6x+4y≥12,x⩾0,y⩾0x+ 2y\geq 4,6x+ 4y\geq 12,x\geqslant 0,y\geqslant 0 has

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  4. Question 4

    21 Apr 2025 S2

    140
    The solution set for minimizing the function z=x+yz =x+y with constraints x+y⩾2,x+2y⩽8,y⩽3,x,y⩾0x+y\geqslant 2,x+ 2y\leqslant 8,y\leqslant 3,x,y\geqslant 0 contains

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  5. Question 5

    26 Apr 2025 S1

    126
    The solution for minimizing the function z=x+yz =x+y under an L.P.P. with constraints x+y≥2,x+2y≤8,y≤3,x,y≥0x+y\geq 2,x+ 2y\leq 8,y\leq 3,x,y\geq 0 is

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  6. Question 6

    17 Apr 2026 S1

    97
    For the linear programming problem, x+2y≤10, 3x+y≤12, x,y≥0x + 2y \le 10,\ 3x + y \le 12,\ x, y \ge 0, the maximum value of z=5x+10yz = 5x + 10y occurs at every point on the line segment joining the points..

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  7. Question 7

    20 Apr 2026 S2

    97
    The LPP maximize z=2x+5yz = 2x + 5y subject to x+3y≤6,2x+6y≤18,x≥0,y≥0x + 3y \le 6, 2x + 6y \le 18, x \ge 0, y \ge 0 has

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  8. Question 8

    15 May 2026 S1

    97
    The L.P.P. Maximize Z=0.75x+0.5yZ = 0.75x + 0.5y subject to 3x+2y≤63x + 2y \le 6, x+4y≤4x + 4y \le 4, x≥0,y≥0x \ge 0, y \ge 0 has

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  9. Question 9

    15 May 2026 S2

    97
    The linear programming problem: Maximize : Z=x+yZ = x + y Subject to : x+2y≤200, x+y≤150, 0≤y≤60, x≥0x + 2y \le 200,\ x + y \le 150,\ 0 \le y \le 60,\ x \ge 0 has:

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