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Linear Programming
Previous Year Questions (2022-2024)
Year 2022
- Maximize Z=3x+5y subject to x+2y<=8, 3x+2y=0.
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Corners: (0,0):0, (4,0):12, (2,3):21, (0,4):20\nMaximum Z=21 at (2,3) - Minimize Z=2x+3y subject to x+y>=4, x+3y>=6, x,y>=0.
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Intersection of x+y=4 and x+3y=6: (3,1)\nCorners: (4,0):8, (3,1):9, (0,4):12, (6,0):12\nMinimum Z=8 at (4,0)
Year 2023
- Maximize Z=3x+5y subject to x+2y<=8, 3x+2y=0.
Show Solution
Corners: (0,0):0, (4,0):12, (2,3):21, (0,4):20\nMaximum Z=21 at (2,3) - Minimize Z=2x+3y subject to x+y>=4, x+3y>=6, x,y>=0.
Show Solution
Intersection of x+y=4 and x+3y=6: (3,1)\nCorners: (4,0):8, (3,1):9, (0,4):12, (6,0):12\nMinimum Z=8 at (4,0)
Year 2024
- Maximize Z=3x+5y subject to x+2y<=8, 3x+2y=0.
Show Solution
Corners: (0,0):0, (4,0):12, (2,3):21, (0,4):20\nMaximum Z=21 at (2,3) - Minimize Z=2x+3y subject to x+y>=4, x+3y>=6, x,y>=0.
Show Solution
Intersection of x+y=4 and x+3y=6: (3,1)\nCorners: (4,0):8, (3,1):9, (0,4):12, (6,0):12\nMinimum Z=8 at (4,0)