CUET · MATHS · PYQ PAPER 2025
For the objective function \(Z = 4x + 6y\) subject to the constraints
\(3x + 2y ≥ 5, 7x + 2y ≤ 9, x ≥ 0, y ≥ 0\),
the maximum value of Z occurs at (a, b)
and the minimum value of Z occurs at (p, q)
then the value of \(\frac{a}{p}+\frac{b}{q}\) is:
- A 2.5
- B 4.5
- C 5.5
- D 3.5
Answer & Solution
Correct Answer
(B) 4.5
Step-by-step Solution
Detailed explanation
Intersection of \(3x+2y=5\) and \(7x+2y=9\): \(4x = 4 \implies x=1\) \(3(1)+2y=5 \implies y=1\) Point: \((1,1)\) For \(x=0\): \(2y \ge 5 \implies y \ge 2.5\) \(2y \le 9 \implies y \le 4.5\) Points: \((0, 2.5)\), \((0, 4.5)\) For \(y=0\): \(3x \ge 5 \implies x \ge 5/3\)…
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