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CBSE Class 12 Mathematics 2026 Main Paper 65/3/2 · Q355 Markscorner_point_method

CBSE Class 12 Mathematics 2026 Main Paper 65/3/2 · Question 35 (Linear Programming)

Graphically maximize Z=12x+18y subject to x+y≤1200, x−2y≥0, x+3y≥600 and x,y≥0.
Feasible polygon with vertices (600, 0), (1200, 0), (800, 400), (240, 120).
Feasible polygon with vertices (600, 0), (1200, 0), (800, 400), (240, 120).

✅ Step-by-Step Solution

Final Answer: 16800 at (800,400).
  1. Plot the three boundary lines and retain the common feasible region in the first quadrant.
  2. Its vertices (600,0),(1200,0),(800,400),(240,120) give objective values 7200,14400,16800,5040.
  3. The maximum is 16800 at (800,400).

📋 CBSE Stepwise Marking Scheme

  • [1 mark] Plot the three boundary lines and retain the common feasible region in the first quadrant.
  • [3 marks] Its vertices (600,0),(1200,0),(800,400),(240,120) give objective values 7200,14400,16800,5040.
  • [1 mark] The maximum is 16800 at (800,400).

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All Questions in CBSE Class 12 Mathematics 2026 Main Paper 65/3/2

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