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 March 22, 2023 by Teachoo
A linear programming problem is as follows:
πππππππ§π π = 30π₯ + 50π¦
subject to the constraints,
Β 3π₯ + 5π¦ β₯ 15
Β 2π₯ + 3π¦ β€ 18
Β π₯ β₯ 0,π¦ β₯ 0
In the feasible region, the minimum value of Z occurs at
(a) a unique pointΒ Β Β Β Β Β Β (b) no point
(c) infinitely many pointsΒ (d) two points only
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Question 33 A linear programming problem is as follows: πππππππ§π π = 30π₯ + 50π¦ subject to the constraints, 3π₯ + 5π¦ β₯ 15 2π₯ + 3π¦ β€ 18 π₯ β₯ 0,π¦ β₯ 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 β₯ 15
2x + 3y β€ 18
x β₯ 0 , y β₯ 0
β΄ Minimum of Z occurs at 2 points
So, the correct answer is (d)
Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.
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