CUET Mathematics - The corner points of a bounded feasible region are (0, 5), (6, 1), (17, 2) and (4, 29). If the maximum value of objective function z = px + qy where p and q > 0 occurs at two points (17, 2) and (4, 29), then the relation between p and q is: | PYQs + Solutions

CUET Mathematics 2025 3 June Shift 1

Algebra

Medium

common

$3p = 3q$

$13p = 27q$

$q = 3p$

$p = 3q$

✅ Correct Option: 2

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Which one of the following set of constraints does the given shaded region represent?

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The corner points of the bounded feasible region determined by the system of linear constraints are (0, 0), (5, 0), (3, 4) and (0, 5). Let $Z = px + qy$ where $p, q > 0$ . Condition on p and q so that the maximum of Z occurs at both (5, 0) and (3, 4) is

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About linear programming problem (LPP), which of the following statements are correct?

(A) In a LPP, the linear inequalities or restrictions on the variables are called linear constraints.

(B) If the feasible region for an LPP is unbounded, then the maximum or minimum value of the objective function $Z = ax + by$ never exists.

(D) The common region determined by all the linear constraints of an LPP is called the feasible region.

Choose the correct answer from the options given below:

CUET Mathematics 2025 3 June Shift 1 PYQs

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