Question 3 - NCERT Exemplar - MCQs - Chapter 12 Class 12 Linear Programming

Last updated at April 16, 2024 by Teachoo

The corner points of the feasible region determined by the system of linear constraints are (0, 0), (0, 40), (20, 40), (60, 20), (60, 0). The objective function is Z = 4x + 3y.

Compare the quantity in Column A and Column B

Column A
Column B

Maximum of Z 325

(A) The quantity in column A is greater

(B) The quantity in column B is greater

(C) The two quantities are equal

(D) The relationship can not be determined on the basis of the information supplied

Question 3
The corner points of the feasible region determined by the system of linear constraints are (0, 0), (0, 40), (20, 40), (60, 20), (60, 0). The objective function is Z = 4x + 3y.
Compare the quantity in Column A and Column B
Column A Column B
Maximum of Z 325
(A) The quantity in column A is greater
(B) The quantity in column B is greater
(C) The two quantities are equal
(D) The relationship can not be determined on the basis of the information supplied
We need to compare Column A And Column B
i.e. We need to find Maximum of Z = 4x + 3y
Corner Points are (0, 0), (0, 40), (20, 40), (60, 20), (60, 0)
Checking value of Z at corner points
Hence, Maximum of Z = 300
Thus, Column A = Max Z = 300 & Column B = 325
Since 300 < 325
∴ Column A < Column B
Thus, quantity in column B is greater
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 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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