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The corner points of the shaded unbounded feasible region of an LPP are (0, 4), (0.6, 1.6) and (3, 0) as shown in the figure. The minimum value of the objective function Z = 4x + 6y occurs at

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(a) (0.6, 1.6)only

(b) (3, 0) only Β 

(c) (0.6, 1.6) andΒ  (3, 0) only

(d) at every point of the line-segment joining the points (0.6, 1.6) and (3, 0)

Β 

This question is Similar to Question-2 NCERT - Exemplar - MCQs

Β 

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Question 11 The corner points of the shaded unbounded feasible region of an LPP are (0, 4), (0.6, 1.6) and (3, 0) as shown in the figure. The minimum value of the objective function Z = 4x + 6y occurs at (a) (0.6, 1.6) π‘œπ‘›π‘™π‘¦ (b) (3, 0) only (c) (0.6, 1.6) and (3, 0) only (d) at every point of the line-segment joining the points (0.6, 1.6) and (3, 0)We need to Minimise Z = 4x + 6y Checking value of Z at all corner points Since minimum occurs at 2 points, ∴ Z is minimum on all points joining points (0.6, 1.6) and (3, 0) So, the correct answer is (d)

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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.