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Linear Programming
NCERT Class 12
CBSE
Grade 12

Question:

Maximize $Z = 3x + 2y$ subject to $x + 2y \le 10, 3x + y \le 15, x \ge 0, y \ge 0$.

Step-by-Step Solution

Corner points: $O(0,0) \Rightarrow 0, A(5,0) \Rightarrow 15, B(4,3) \Rightarrow 18, C(0,5) \Rightarrow 10$. [1.0 Mark]
Maximum value $= 18$ at $(4, 3)$. [1.0 Mark]

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🎯 Official CBSE Marking Scheme:
Evaluating corner points: 1.0 Mark
Evaluating maximum value $= 18$: 1.0 Mark

Correct Answer:
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