Linear Programming · Class 12 · CBSE · Science Mathematics
Which of the following points satisfies all the constraints x + y ≤ 6, x ≤ 4, y ≤ 5, x ≥ 0 and y ≥ 0?
Practice question from Linear Programming (Class 12 · CBSE · Science Mathematics), with the correct answer and a step-by-step solution.
easy · MCQ · Q-C583DE
Which of the following points satisfies all the constraints x + y ≤ 6, x ≤ 4, y ≤ 5, x ≥ 0 and y ≥ 0?
- A.(4, 3)
- B.(2, 4)Correct answer
- C.(5, 1)
- D.(1, 6)
Solution
For (2, 4), x + y = 6, x ≤ 4, y ≤ 5, and both coordinates are non-negative. Hence, it satisfies every constraint.
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