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

Class 12
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## (c) π + 2π = 0Β  (d) 2π β π = 0

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This question is inspired from Ex 12.2, 11 (MCQ) - Chapter 12 Class 12 - Linear Programming

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### Transcript

Question 41 For an objective function π = ππ₯ + ππ¦, where π, π > 0; the corner points of the feasible region determined by a set of constraints (linear inequalities) are (0, 20), (10, 10), (30, 30) and (0, 40). The condition on a and b such that the maximum Z occurs at both the points (30, 30) and (0, 40) is: (a) π β 3π = 0 (b) π = 3π (c) π + 2π = 0 (d) 2π β π = 0 Since maximum Z occurs at both the points (30, 30) and (0, 40) Value of Z at both these points will be same Therefore 30a + 30b = 40b 30a = 40b β 30b 30a = 10b Dividing by 10 both sides 3a = b 0 = b β 3a b β 3a = 0 So, the correct answer is (A)