CBSE Class 12 Mathematics 2026 Main Paper 65/3/3 · Q345 Markscorner_point_method
CBSE Class 12 Mathematics 2026 Main Paper 65/3/3 · Question 34 (Linear Programming)
Graphically maximize Z=8x+8y for x≤20, 2x+3y≤120, 2x+y≤60 and x,y≥0.
✅ Step-by-Step Solution
Final Answer: 360 at (15,30).
- Plot the three lines and retain their common lower or left side in the first quadrant. The two sloping boundaries meet at (15,30).
- The vertices (0,0),(20,0),(20,20),(15,30),(0,40) give values 0,160,320,360,320 respectively.
- The maximum is 360 at (15,30).
📋 CBSE Stepwise Marking Scheme
- [1 mark] Plot the three lines and retain their common lower or left side in the first quadrant. The two sloping boundaries meet at (15,30).
- [3 marks] The vertices (0,0),(20,0),(20,20),(15,30),(0,40) give values 0,160,320,360,320 respectively.
- [1 mark] The maximum is 360 at (15,30).
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