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Class 12
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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

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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)

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.