CUET · MATHS · PYQ PAPER 2025
The optimal value of the objective function of the LPP, Minimize \(Z=3 x-2 y\) subject to constraints \(x+y \geq 10,3 x+5 y \geq 15, x \geq 0, y \geq 0\), is equal to :
- A 30
- B \(-20\)
- C \(-6\)
- D 15
Answer & Solution
Correct Answer
(B) \(-20\)
Step-by-step Solution
Detailed explanation
Vertices of the feasible region (from \(x+y \geq 10, x \geq 0, y \geq 0\), as \(3x+5y \geq 15\) is redundant) are \((0, 10)\) and \((10, 0)\). At \((0, 10)\): \(Z = 3(0) - 2(10) = -20\) At \((10, 0)\): \(Z = 3(10) - 2(0) = 30\) The optimal value of the objective function is…
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