CUET · MATHS · PYQ PAPER 2025
Consider the following L.P.P minimize \(z=x-7 y+190\) subject to \(x+y \leq 8, x+y \geq 4, x \leq 5, y \leq 5\) and \(x, y \geq 0\). Then which of the following is/are true?
(A) It's feasible region is unbounded
(B) It's feasible region is bounded
(C) It's feasible region has 5 corner polnts
(D) It's feasible region has 6 corner polnts
Choose the correct answer from the options given below :
- A (A) only
- B (B) and (C) only
- C (A) and (C) only
- D (B) and (D) only
Answer & Solution
Correct Answer
(D) (B) and (D) only
Step-by-step Solution
Detailed explanation
Corner points of the feasible region: \(x=0, x+y=4 \implies (0,4)\) \(y=0, x+y=4 \implies (4,0)\) \(y=0, x=5 \implies (5,0)\) \(x=5, x+y=8 \implies (5,3)\) \(y=5, x+y=8 \implies (3,5)\) \(x=0, y=5 \implies (0,5)\) The feasible region is bounded. The feasible region has 6 corner…
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