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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

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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

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.