CBSE Class 12 Sample Paper for 2022 Boards (MCQ Based - for Term 1)

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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 August 14, 2026 by

A linear programming problem is as follows:
š‘€š‘–š‘›š‘–š‘šš‘–š‘§š‘’ š‘ = 30š‘„ + 50š‘¦
subject to the constraints,
  3š‘„ + 5š‘¦ ≥ 15
  2š‘„ + 3š‘¦ ≤ 18
  š‘„ ≥ 0,š‘¦ ≥ 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

Ques 33 - A linear programming problem is: Minimise Z = 30š‘„ + 50š‘¦ - CBSE Class 12 Sample Paper for 2022 Boards (MCQ Based - for Term 1)

part 2 - 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 - Class 12
part 3 - 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 - Class 12 part 4 - 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 - Class 12 part 5 - 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 - Class 12

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Question 33 A linear programming problem is as follows: š‘€š‘–š‘›š‘–š‘šš‘–š‘§š‘’ š‘ = 30š‘„ + 50š‘¦ subject to the constraints, 3š‘„ + 5š‘¦ ā‰„ 15 2š‘„ + 3š‘¦ ā‰¤ 18 š‘„ ā‰„ 0,š‘¦ ā‰„ 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 ā‰„ 15 2x + 3y ā‰¤ 18 x ā‰„ 0 , y ā‰„ 0 āˆ“ Minimum of Z occurs at 2 points So, the correct answer is (d)

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