CUET · MATHS · PYQ PAPER 2025
The corner points of the bounded feasible region determined by the system of linear constraints are (0,0), (5,0), (6,5), (6,8), (4,10), (0,8).
Let \(z=3 x-4 y\) be the objective function. Then the minimum value of z occurs at :
- A (0,0)
- B (0,8)
- C (5,0)
- D (4,10)
Answer & Solution
Correct Answer
(B) (0,8)
Step-by-step Solution
Detailed explanation
At (0,0): \(z = 3(0) - 4(0) = 0\) At (5,0): \(z = 3(5) - 4(0) = 15\) At (6,5): \(z = 3(6) - 4(5) = -2\) At (6,8): \(z = 3(6) - 4(8) = -14\) At (4,10): \(z = 3(4) - 4(10) = -28\) At (0,8): \(z = 3(0) - 4(8) = -32\) The minimum value of \(z\) is -32 at (0,8).
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