CBSE Class 12 Mathematics 2026 Main Paper 65/2/2 · Q283 Markscorner_point_method
CBSE Class 12 Mathematics 2026 Main Paper 65/2/2 · Question 28 (Linear Programming)
Graphically maximize Z=8000x+12000y subject to 3x+4y≤60, x+3y≤30 and x,y≥0.
✅ Step-by-Step Solution
Final Answer: 168000 at (12,6).
- Plot 3x+4y=60 and x+3y=30, and keep the part below both lines in the first quadrant.
- The vertices (0,0), (20,0), (12,6) and (0,10) give objective values 0, 160000, 168000 and 120000 respectively.
- The maximum is 168000 at (12,6).
📋 CBSE Stepwise Marking Scheme
- [0.5 marks] Plot 3x+4y=60 and x+3y=30, and keep the part below both lines in the first quadrant.
- [2 marks] The vertices (0,0), (20,0), (12,6) and (0,10) give objective values 0, 160000, 168000 and 120000 respectively.
- [0.5 marks] The maximum is 168000 at (12,6).
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