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

Question 11 Class 12 - Teachoo.jpg

(a) (0.6, 1.6)only

(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)

 

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

 

Slide22.JPG

Slide23.JPG

 

Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class


Transcript

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) 𝑜𝑛𝑙𝑦 (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)

Ask a doubt
Davneet Singh's photo - Co-founder, Teachoo

Made by

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.