Linear Programming
NCERT Class 12
CBSE
Grade 12
Question:
Solve graphically: Minimize and Maximize $Z = x + 2y$ subject to $x + 2y \ge 100, 2x - y \le 0, 2x + y \le 200, x \ge 0, y \ge 0$.
Step-by-Step Solution
Corner points: $A(0,50) \Rightarrow 100, B(0,200) \Rightarrow 400, C(50,100) \Rightarrow 250, D(20,40) \Rightarrow 100$. [1.5 Marks]
Min $= 100$ on segment $AD$; Max $= 400$ at $B(0,200)$. [1.5 Marks]
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🎯 Official CBSE Marking Scheme:
Evaluating corner points: 1.5 Marks
Evaluating minimum $= 100$ and maximum $= 400$: 1.5 Marks
Correct Answer:
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