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CBSE Class 12 Mathematics 2026 Main Paper 65/4/2 · Q293 Markscorner_point_method

CBSE Class 12 Mathematics 2026 Main Paper 65/4/2 · Question 29 (Linear Programming)

Graphically minimize Z=20x+10y subject to x+2y≤40, 3x+y≥30, 4x+3y≥60 and x,y≥0.
Shaded polygon through (4,18), (6,12), (15,0) and (40,0).
Shaded polygon through (4,18), (6,12), (15,0) and (40,0).

✅ Step-by-Step Solution

Final Answer: 240 at (6,12).
  1. Draw the three boundaries and retain the common first-quadrant region.
  2. The vertices (40,0),(15,0),(6,12),(4,18) give 800,300,240,260 respectively.
  3. The minimum is 240 at (6,12).

📋 CBSE Stepwise Marking Scheme

  • [0.5 marks] Draw the three boundaries and retain the common first-quadrant region.
  • [2 marks] The vertices (40,0),(15,0),(6,12),(4,18) give 800,300,240,260 respectively.
  • [0.5 marks] The minimum is 240 at (6,12).

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All Questions in CBSE Class 12 Mathematics 2026 Main Paper 65/4/2

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