Question 3 - NCERT Exemplar - MCQs - Chapter 12 Class 12 Linear Programming (Term 1)

Last updated at Nov. 19, 2021 by Teachoo

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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

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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)

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