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CUET · MATHS · PYQ PAPER 2025

If the corner points of the bounded feasible region of an LPP with objective function maximize \(Z=2 x+3 y\) are \((0,0),(1,2)\) and \((1,1)\), then its optimal value is

  1. A 0
  2. B 7
  3. C 8
  4. D 10
Verified Solution

Answer & Solution

Correct Answer

(C) 8

Step-by-step Solution

Detailed explanation

\(Z(0,0) = 2(0) + 3(0) = 0\) \(Z(1,2) = 2(1) + 3(2) = 8\) \(Z(1,1) = 2(1) + 3(1) = 5\) Optimal value = \(8\)