Linear Programming
NCERT Class 12
CBSE
Grade 12
Question:
Minimize $Z = 3x + 5y$ subject to $x + 3y \ge 3, x + y \ge 2, x \ge 0, y \ge 0$.
Step-by-Step Solution
Corner points: $(3,0) \Rightarrow 9, (3/2, 1/2) \Rightarrow 7, (0,2) \Rightarrow 10$. [1.0 Mark]
Minimum value $= 7$ at $(3/2, 1/2)$. [1.0 Mark]
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🎯 Official CBSE Marking Scheme:
Evaluating corner points: 1.0 Mark
Evaluating minimum value $= 7$: 1.0 Mark
Correct Answer:
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