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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Question 1
3 May 2023 S2
134
The maximum value of Z=x+y, subjected to x+y≤10,5x+3y≥15,x≤6,x,y≥0
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Question 2
9 May 2023 S1
126
The maximum value of z=x+y, subjected to x+y≤10, 5x+3y≥15, x≤6, x,y≥0
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Question 3
21 Apr 2025 S1
139
The L.P.P. , minimize z=30x+20y,x+y≤8, x+2y≥4,6x+4y≥12,x⩾0,y⩾0 has
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Question 4
21 Apr 2025 S2
140
The solution set for minimizing the function z=x+y with constraints x+y⩾2,x+2y⩽8,y⩽3,x,y⩾0 contains
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Question 5
26 Apr 2025 S1
126
The solution for minimizing the function z=x+y under an L.P.P. with constraints x+y≥2,x+2y≤8,y≤3,x,y≥0 is
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Question 6
17 Apr 2026 S1
97
For the linear programming problem, x+2y≤10,3x+y≤12,x,y≥0, the maximum value of z=5x+10y occurs at every point on the line segment joining the points..
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Question 7
20 Apr 2026 S2
97
The LPP maximize z=2x+5y subject to x+3y≤6,2x+6y≤18,x≥0,y≥0 has
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Question 8
15 May 2026 S1
97
The L.P.P. Maximize Z=0.75x+0.5y subject to 3x+2y≤6, x+4y≤4, x≥0,y≥0 has
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Question 9
15 May 2026 S2
97
The linear programming problem:
Maximize : Z=x+y
Subject to :
x+2y≤200,x+y≤150,0≤y≤60,x≥0 has: