CUET Mathematics - The corner points of the bounded feasible region for an LPP are (0, 20), (3,12), (6,8), and (0,15). The objective function is Z = + px + qy, where , p > 0. If the maximum of Z occurs at the corner points (3,12) and (6,8), then the relationship between and p is: | PYQs + Solutions

CUET Mathematics 2025 30 May Shift 1

Algebra

Medium

applied

$\alpha = \frac{3}{2}p$

$p = \frac{4}{3}\alpha$

$\alpha + p = \frac{1}{2}$

$\alpha = \frac{4}{3}p$

✅ Correct Option: 4

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Let the corner points of the bounded feasible region of the linear programming problem (LPP) $Z = ax+by$ be: (0, 0), (2, 0), (20/19, 45/19) and (0, 3). If the optimal value of Z occurs at both points (2, 0) and (20/19, 45/19), then the relation between a and b is:

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Consider a L.P.P, Maximize $Z = 3x + 5y$ subject to constraints $2x + 6y ≤ 6$ , $x - y ≥ 0$ , $x ≥ 0$ , $y ≥ 0$ . Then which of the following are true?

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The corner points of the bounded feasible region determined by the system of linear constraints are $(0,8)$ , $(4,4)$ , $(12,12)$ , $(0,20)$ . Let $z = px + qy$ , where $p, q > 0$ . Condition on $p$ and $q$ so that the maximum of $z$ occurs at both the points $(12,12)$ , $(0,20)$ is

CUET Mathematics 2025 30 May Shift 1 PYQs

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