CBSE Class 12 Linear Programming Multiple Choice Questions with Answers. MCQ Questions Class 12 Linear Programming with Answers Is Prepared Based on Latest Exam Pattern. Students can solve NCERT MCQ questions Class 12 Linear Programming with Answers to know their preparation level.
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MCQ Questions Class 12 Linear Programming with Answers - Set - 4
Question 1:
The point which does not lie in the half-plane 2x + 3y -12 < 0 is:
A. (2,1)
B. (1,2)
C. (-2,3)
D. (2,3)
Correct Answer – (D)
Question 2:
The minimum value of Z = 3x + 5y subjected to constraints x + 3y ≥ 3, x + y ≥ 2, x, y ≥ 0 is:
A. 5
B. 7
C. 10
D. 11
Correct Answer – (B)
Question 3:
A set of values of decision variables that satisfies the linear constraints and non-negativity conditions of an L.P.P. is called its:
A. Unbounded solution
B. Optimum solution
C. Feasible solution
D. None of these
Correct Answer – (C)
Question 4:
The objective function of a linear programming problem is:
A. a constraint
B. function to be optimised
C. A relation between the variables
D. None of these
Correct Answer – (B)
Question 5:
Z = 6x + 21 y, subject to x + 2y ≥ 3, x + 4y ≥ 4, 3x + y ≥ 3, x ≥ 0, y ≥ 0. The minimum value of Z occurs at
(a) (4, 0)
(b) (28, 8)
(c) (2, 72)
(d) (0, 3)
Correct Answer – (C)
MCQ Questions Class 12 Linear Programming With Answers
Question 6:
Maximize Z = 3x + 5y, subject to constraints: x + 4y ≤ 24, 3x + y ≤ 21, x + y ≤ 9, x ≥ 0, y ≥ 0
A. 20 at (1, 0)
B. 30 at (0, 6)
C. 37 at (4, 5)
D. 33 at (6, 3)
Correct Answer – (C)
Question 7:
The maximum value of Z = 3x + 4y subjected to constraints x + y ≤ 4, x ≥ 0 and y ≥ 0 is:
A. 12
B. 14
C. 16
D. None of the above
Correct Answer – (C)
Question 8:
The linear inequalities or equations or restrictions on the variables of a linear programming problem are called:
A. a constraint
B. Decision variables
C. Objective function
D. None of the above
Correct Answer – (A)
Question 9:
Region represented by x ≥ 0, y ≥ 0 is:
A. first quadrant
B. second quadrant
C. third quadrant
D. fourth quadrant
Correct Answer – (A)
Question 10:
Z = 20x1 + 202, subject to x1 ≥ 0, x2 ≥ 0, x1 + 2x2 ≥ 8, 3x1 + 2x2 ≥ 15, 5x1 + 2x2 ≥ 20. The minimum value of Z occurs at
(a) (8, 0)
(b) (5/2, 15/4)
(c) (7/2, 9/4)
(d) (0, 10)
Correct Answer – (C)
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