Linear Programming
NCERT Class 12
CBSE
Grade 12
Question:
Solve LPP: Maximize $Z = 4x + 3y$ subject to $3x + 4y \le 24, 8x + 6y \le 48, x \ge 0, y \ge 0$.
Step-by-Step Solution
Corner points: $(0,0) \Rightarrow 0, (6,0) \Rightarrow 24, (24/7, 24/7) \Rightarrow 24, (0,6) \Rightarrow 18$. [1.5 Marks]
Maximum value $= 24$ on line segment. [1.5 Marks]
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🎯 Official CBSE Marking Scheme:
Evaluating corner points: 1.5 Marks
Evaluating maximum value $= 24$: 1.5 Marks
Correct Answer:
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