Question 2
Feasible region (shaded) for a LPP is shown in the Fig. 12.6. Minimum of Z = 4x + 3y occurs at the point
(A) (0, 8) (B) (2, 5)
(C) (4, 3) (D) (9, 0)
Corners points are (0, 8), (2, 5), (4, 3) and (9, 0)
We need to Minimise Z = 4x + 3y
Checking value of Z at all corner points
Since the feasible region is unbounded,
Hence, 23 may or may not be the minimum value of Z
So, we need to graph inequality :
Z < 23
4x + 3y < 23
As, there is no common points between the feasible region and the inequality.
∴ Min Z = 23 at (2, 5)
So, the correct answer is (B)
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.
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