CBSE Class 12 Mathematics 2026 Main Paper 65/4/3 · Q293 Markscorner_point_method
CBSE Class 12 Mathematics 2026 Main Paper 65/4/3 · Question 29 (Linear Programming)
Graphically maximize Z=20x+10y under x+2y≤28, 3x+y≤24, x≥2 and y≥0.
✅ Step-by-Step Solution
Final Answer: 200 at (4,12).
- Draw the three boundaries and retain their common feasible side above the x-axis.
- Evaluate Z at (2,0),(8,0),(4,12),(2,13) to get 40,160,200,170.
- Thus the maximum is 200 at (4,12).
📋 CBSE Stepwise Marking Scheme
- [0.5 marks] Draw the three boundaries and retain their common feasible side above the x-axis.
- [2 marks] Evaluate Z at (2,0),(8,0),(4,12),(2,13) to get 40,160,200,170.
- [0.5 marks] Thus the maximum is 200 at (4,12).
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