CUET · MATHS · PYQ PAPER 2025
The corner points of the bounded feasible region for an LPP are : \((5,5),(15,15),(0,20)\) and \((0,10)\).
Let \(z=3 x+9 y\) be the objective function.
Then the value of maximum \((z)-\operatorname{minimum}(z)\) is :
- A 60
- B 90
- C 120
- D 180
Answer & Solution
Correct Answer
(C) 120
Step-by-step Solution
Detailed explanation
\(z(5,5) = 3(5) + 9(5) = 15 + 45 = 60\) \(z(15,15) = 3(15) + 9(15) = 45 + 135 = 180\) \(z(0,20) = 3(0) + 9(20) = 0 + 180 = 180\) \(z(0,10) = 3(0) + 9(10) = 0 + 90 = 90\) \(\operatorname{maximum}(z) = 180\) \(\operatorname{minimum}(z) = 60\)…
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