CUET · MATHS · PYQ PAPER 2025
For the linear programming problem (LPP),
Maximize \(Z=7 x+9 y\)
subject to the constraints
\(x-y \leq-1\),
\(-x+y \leq 0\),
\(x, y \geq 0\)
Which of the following is correct?
- A The feasible region is bounded.
- B The optimal value of the objective function exists at the point (1, 1).
- C The optimal value of the objective function is 16.
- D No feasible region exists.
Answer & Solution
Correct Answer
(D) No feasible region exists.
Step-by-step Solution
Detailed explanation
\(y \geq x + 1\) \(y \leq x\) The conditions \(y \geq x + 1\) and \(y \leq x\) are contradictory. No feasible region exists.
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