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Linear Programming
NCERT Exemplar Class 12
CBSE
Grade 12
Question:
Maximize $Z = 3x + 5y$ subject to $x + 3y \le 3, x + y \le 2, x, y \ge 0$.
Step-by-Step Solution
Given: Maximize $Z = 3x + 5y$ subject to $x + 3y \le 3, x + y \le 2, x, y \ge 0$. Step 1: Set up the governing mathematical relation / formula: From the given problem statement, we state the key relation: $$Max Z$$ [1.0 Mark] Step 2: Execute step-by-step evaluation and simplify: Evaluating and simplifying the expression: $$5 at (0, 1).$$ [1.0 Mark] Conclusion: The solution is verified as 5 at (0, 1)..
--- 🎯 Official CBSE Marking Scheme: Setting up equation / formula: 1.0 Mark Evaluating correct final answer: 1.0 Mark
Correct Answer:
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