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CBSE Class 12 Mathematics 2026 Main Paper 65/3/1 · Q335 Markscorner_point_method

CBSE Class 12 Mathematics 2026 Main Paper 65/3/1 · Question 33 (Linear Programming)

Graphically maximize Z=600x+400y subject to x+2y≤12, 4x+5y≥20, 2x+y≤12 and x,y≥0.
Feasible polygon through (5,0), (6,0), (4,4), (0,6), and (0,4).
Feasible polygon through (5,0), (6,0), (4,4), (0,6), and (0,4).

✅ Step-by-Step Solution

Final Answer: 4000 at (4,4).
  1. Plot the three boundary lines and keep the part below the first and third lines and above the second in the first quadrant.
  2. The vertices (5,0),(6,0),(4,4),(0,6),(0,4) give Z=3000,3600,4000,2400,1600 respectively.
  3. The maximum is 4000 at (4,4).

📋 CBSE Stepwise Marking Scheme

  • [1 mark] Plot the three boundary lines and keep the part below the first and third lines and above the second in the first quadrant.
  • [3 marks] The vertices (5,0),(6,0),(4,4),(0,6),(0,4) give Z=3000,3600,4000,2400,1600 respectively.
  • [1 mark] The maximum is 4000 at (4,4).

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All Questions in CBSE Class 12 Mathematics 2026 Main Paper 65/3/1

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