Linear Programming · Class 12 · CBSE · Science Mathematics
For the linear programming problem: Maximise Z = x + y, subject to x + y ≥ 5, x ≥ 0 and y ≥ 0, which statement is correct?
Practice question from Linear Programming (Class 12 · CBSE · Science Mathematics), with the correct answer and a step-by-step solution.
hard · MCQ · Q-D26CE8
For the linear programming problem: Maximise Z = x + y, subject to x + y ≥ 5, x ≥ 0 and y ≥ 0, which statement is correct?
- A.The problem has a unique maximum value.
- B.The feasible region is empty.
- C.The objective function has no finite maximum value.Correct answer
- D.The maximum value is 5.
Solution
The feasible region contains points such as (t, 0) for every t ≥ 5. Since Z = x + y can increase without bound, the objective function has no finite maximum value.
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