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Question 33 - CBSE Class 12 Sample Paper for 2022 Boards (MCQ Based - for Term 1) - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Last updated at May 29, 2023 by

A linear programming problem is as follows:
𝑀𝑖𝑛𝑖𝑚𝑖𝑧𝑒 𝑍 = 30𝑥 + 50𝑦
subject to the constraints,
  3𝑥 + 5𝑦 ≥ 15
  2𝑥 + 3𝑦 ≤ 18
  𝑥 ≥ 0,𝑦 ≥ 0
In the feasible region, the minimum value of Z occurs at

(a) a unique point             (b) no point

(c) infinitely many points  (d) two points only

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Question 33 A linear programming problem is as follows: 𝑀𝑖𝑛𝑖𝑚𝑖𝑧𝑒 𝑍 = 30𝑥 + 50𝑦 subject to the constraints, 3𝑥 + 5𝑦 ≥ 15 2𝑥 + 3𝑦 ≤ 18 𝑥 ≥ 0,𝑦 ≥ 0 In the feasible region, the minimum value of Z occurs at (a) a unique point (b) no point (c) infinitely many points (d) two points only Our LPP is Minimise Z = 5x + 3y Subject to 3x + 5y ≥ 15 2x + 3y ≤ 18 x ≥ 0 , y ≥ 0 ∴ Minimum of Z occurs at 2 points So, the correct answer is (d)

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