CUET · MATHS · PYQ PAPER 2023
The corner points of the feasible region of a LPP are \(P(0, 5), Q(1, 5), R(4, 2)\) and \(S(12, 0)\).
The minimum value of the objective function \(Z = 2x + 5y\) is at the point:
- A P
- B Q
- C R
- D S
Answer & Solution
Correct Answer
(C) R
Step-by-step Solution
Detailed explanation
\(Z(P) = 2(0) + 5(5) = 25\) \(Z(Q) = 2(1) + 5(5) = 2 + 25 = 27\) \(Z(R) = 2(4) + 5(2) = 8 + 10 = 18\) \(Z(S) = 2(12) + 5(0) = 24 + 0 = 24\) Minimum value is 18 at R(4, 2).
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