CUET · MATHS · PYQ PAPER 2025
If the objective function for a linear programming problem (LPP) is Z=4x+5y and the corner points of the bounded feasible region are \((9,0),(4,3),(2,5)\), and \((0,8)\), then the minimum value of \(Z\) is :
- A \(0\)
- B 31
- C 36
- D 40
Answer & Solution
Correct Answer
(B) 31
Step-by-step Solution
Detailed explanation
At \((9,0)\), \(Z = 4(9) + 5(0) = 36\) At \((4,3)\), \(Z = 4(4) + 5(3) = 16 + 15 = 31\) At \((2,5)\), \(Z = 4(2) + 5(5) = 8 + 25 = 33\) At \((0,8)\), \(Z = 4(0) + 5(8) = 0 + 40 = 40\) Minimum value of \(Z\) is \(31\).
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