Minimize $Z = x + 2y$ subject to $2x + y \ge 3, x + 2y \ge 6, x, y \ge 0$.
Step-by-Step Solution
Given: Minimize $Z = x + 2y$ subject to $2x + y \ge 3, x + 2y \ge 6, x, y \ge 0$.
Step 1: Set up the governing mathematical relation / formula:
From the given problem statement, we state the key relation:
$$Min Z$$
[1.0 Mark]
Step 2: Execute step-by-step evaluation and simplify:
Evaluating and simplifying the expression:
$$6 at all points on segment between (0, 3) and (6, 0).$$
[1.0 Mark]
Conclusion: The solution is verified as 6 at all points on segment between (0, 3) and (6, 0)..
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🎯 Official CBSE Marking Scheme:
Setting up equation / formula: 1.0 Mark
Evaluating correct final answer: 1.0 Mark
Correct Answer: