In a linear programming problem, the constraints on the decision variables x and y are π‘₯ − 3𝑦 ≥ 0, 𝑦 ≥ 0, 0 ≤ π‘₯ ≤ 3. The feasible region

(a) is not in the first quadrant

(b) is bounded in the first quadrant

(c) is unbounded in the first quadrant

(d) does not exist

Slide114.JPG

Advertisement

Slide115.JPG

Advertisement

Slide116.JPG

  1. Class 12
  2. Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Transcript

Question 44 In a linear programming problem, the constraints on the decision variables x and y are π‘₯ βˆ’ 3𝑦 β‰₯ 0, 𝑦 β‰₯ 0, 0 ≀ π‘₯ ≀ 3. The feasible region (a) is not in the first quadrant (b) is bounded in the first quadrant (c) is unbounded in the first quadrant (d) does not exist Given constaints π‘₯ βˆ’ 3𝑦 β‰₯ 0, 𝑦 β‰₯ 0, 0 ≀ π‘₯ ≀ 3 Let’s plot this Since the feasible region is bounded in the first quadrant So, the correct answer is (B)

About the Author

Davneet Singh's photo - Teacher, Engineer, Marketer
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.