CBSE Class 12 Sample Paper for 2025 Boards
You are here
CBSE Class 12 Sample Paper for 2025 Boards
Last updated at Feb. 12, 2025 by Teachoo
This question is similar to NCERT-Exemplar - MCQs
Please check the question here
https://www.teachoo.com/15959/3645/Question-3/category/NCERT-Exemplar---MCQs/
![[SQP] Question 11 - For LPP, the objective function is Z = 4x + 3y - CBSE Class 12 Sample Paper for 2025 Boards](https://cdn.teachoo.com/6a6fce7a-30cb-4af7-a3fd-8a9beb5c5363/slide28.jpg)
Transcript
Question 11 For the linear programming problem (LPP), the objective function is 𝑍=4𝑥+3𝑦 and the feasible region determined by a set of constraints is shown in the graph: Which of the following statements is true? (A) Maximum value of 𝑍 is at 𝑅(40,0). (B) Maximum value of 𝑍 is at 𝑄(𝟑𝟎,𝟐𝟎). (C) Value of 𝑍 at 𝑅(40,0) is less than the value at 𝑃(0,40). (D) The value of 𝑍 at 𝑄(𝟑𝟎,𝟐𝟎) is less than the value at 𝑅(40,0).Corner Points are (0, 0), (0, 40), (30, 20), (40, 0) Checking value of Z at corner points Now, our options are (A) Maximum value of 𝑍 is at 𝑅(40,0). (B) Maximum value of 𝑍 is at 𝑄(𝟑𝟎,𝟐𝟎). (C) Value of 𝑍 at 𝑅(40,0) is less than the value at 𝑃(0,40). (D) The value of 𝑍 at 𝑄(𝟑𝟎,𝟐𝟎) is less than the value at 𝑅(40,0). Since maximum value of Z is at Q So, the correct answer is (B)
