In Class 12 Boards there will be Case studies and Passage Based Questions will be asked, So practice these types of questions. Study Rate is always there to help you. Free PDF Download of CBSE Class 12 Mathematics Chapter 12 Linear Programming Case Study and Passage Based Questions with Answers were Prepared Based on Latest Exam Pattern. Students can solve NCERT Class 12 Maths Linear Programming to know their preparation level.
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In CBSE Class 12 Maths Paper, There will be a few questions based on case studies and passage-based as well. In that, a paragraph will be given, and then the MCQ questions based on it will be asked.
Linear Programming Case Study Questions With answers
Here, we have provided case-based/passage-based questions for Class 12 Mathematics Chapter 12 Linear Programming
Case Study/Passage-Based Questions
Case Study 1:
Corner points of the feasible region for an LPP are (0, 3), (5, 0), (6, 8), (0, 8). Let Z = 4x – 6y be the objective function.
Based on the above information, answer the following questions.
(i) The minimum value of Z occurs at
| (a) (6,8) | (b) (5,0) | (c) (0,3) | (d) (0,8) |
Answer: (d) (0,8)
(ii) Maximum value of Z occurs at
| (a) (5,0) | (b) (0,8) | (c) (0,3) | (d) (6,8) |
Answer: (a) (5,0)
(iii) Maximum of Z – Minimumof Z =
| (a) 58 | (b) 68 | (c) 78 | (d) 88 |
Answer: (b) 68
(iv) The corner points of the feasible region determined by the system of linear inequalities are
| (a) (0,0), (-3,0), (3, 2), (2, 3) | (b) (3,0), (3, 2), (2,3), (0, -3) | (c) (0,0), (3, 0), (3, 2), (2,3), (0, 3) | (d) None of these |
Answer: (c) (0,0), (3, 0), (3, 2), (2,3), (0, 3)
(v) The feasible solution of LPP belongs to
| (a) first and second quadrant | (b) first and third quadrant | (c) only second quadrant | (d) only first quadrant |
Answer: (d) only first quadrant
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