JOIN ADRE 2.0 Telegram Group

NCERT Solutions for class 12 Maths | Chapter 12 - Linear Programming

Questions
1 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, 7/2)
D (0, 3)

Answer:(2, 7/2)
2 Maximize Z = 10 x1 + 25 x2, subject to 0 ≤ x1 ≤ 3, 0 ≤ x2 ≤ 3, x1 + x2 ≤ 5
A 80 at (3, 2)
B 75 at (0, 3)
C 30 at (3, 0)
D 95 at (2, 3)

Answer:95 at (2, 3)
Advertisement
Article and Schedule Quiz Start Test!

DOWNLOAD CURRENT AFFAIRS PDF FROM APP

3 Maximize Z = 4x + 6y, subject to 3x + 2y ≤ 12, x + y ≥ 4, x, y ≥ 0
A 16 at (4, 0)
B 24 at (0, 4)
C 24 at (6, 0)
D 36 at (0, 6)

Answer:36 at (0, 6)
4 Maximize Z = 11 x + 8y subject to x ≤ 4, y ≤ 6, x + y ≤ 6, x ≥ 0, y ≥ 0.
A 44 at (4, 2)
B 60 at (4, 2)
C 62 at (4, 0)
D 48 at (4, 2)

Answer:60 at (4, 2)
5 The maximum value of the object function Z = 5x + 10 y subject to the constraints x + 2y ≤ 120, x + y ≥ 60, x – 2y ≥ 0, x ≥ 0, y ≥ 0 is
A 300
B 600
C 400
D 800

Answer:600
6 Objective function of a linear programming problem is
A a constraint
B function to be obtimized
C A relation between the variables
D None of these

Answer:function to be obtimized
7 Refer to Question 18 maximum of Z occurs at
A (5, 0)
B (6, 5)
C (6, 8)
D (4, 10)

Answer:(5, 0)
8 Maximize Z = 7x + 11y, subject to 3x + 5y ≤ 26, 5x + 3y ≤ 30, x ≥ 0, y ≥ 0
A 59 at (9/2, 5/2)
B 42 at (6, 0)
C 49 at (7, 0)
D 57.2 at (0, 5.2)

Answer:59 at (9/2, 5/2)
9 The maximum value of Z = 4x + 2y subject to the constraints 2x + 3y ≤ 18, x + y ≥ 10, x, y ≤ 0 is
A 36
B 40
C 30
D None of these

Answer:None of these
10 A set of values of decision variables which satisfies the linear constraints and nn-negativity conditions of a L.P.P. is called its
A Unbounded solution
B Optimum solution
C Feasible solution
D None of these

Answer:Feasible solution
11 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)

Answer:(7/2, 9/4)
12 Maximize Z = 3x + 5y, subject to 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)

Answer:37 at (4, 5)
13 In equation 3x – y ≥ 3 and 4x – 4y > 4
A Have solution for positive x and y
B Have no solution for positive x and y
C Have solution for all x
D Have solution for all y

Answer:Have solution for positive x and y
14 Of all the points of the feasible region for maximum or minimum of objective function the points
A Inside the feasible region
B At the boundary line of the feasible region
C Vertex point of the boundary of the feasible region
D None of these

Answer:Vertex point of the boundary of the feasible region
15 Feasible region in the set of points which satisfy
A The objective functions
B Some the given constraints
C All of the given constraints
D None of these

Answer:All of the given constraints
16 Refer to Question 18 (Maximum value of Z+ Minimum value of Z) is equal to
A 13
B 1
C -13
D -17

Answer:-17
17 The maximum value of Z = 3x + 4y subjected to contraints x + y ≤ 40, x + 2y ≤ 60, x ≥ 0 and y ≥ 0 is
A 120
B 140
C 100
D 160

Answer:140
18 Maximize Z = 6x + 4y, subject to x ≤ 2, x + y ≤ 3, -2x + y ≤ 1, x ≥ 0, y ≥ 0
A 12 at (2, 0)
B 140/3 at (2/3, 13)
C 16 at (2, 1)
D 4 at (0, 1)

Answer:16 at (2, 1)
19 The corner point 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 cannot be determined On the basis of the information supplied

Answer:The quantity in column B is greater
20 The feasible region for a LPP is shown shaded in the figure. Let Z = 3x – 4y be the objective function. Minimum of Z occurs at Class 12 Maths Chapter 12 Linear Programming
A (0, 0)
B (0, 8)
C (5, 0)
D (4, 10)

Answer:(0, 8)

ADRE 2.0 FULL LENGTH MOCK TEST

Take Mock Tests

Missiles Mock Test Start Test!
SSC MTS Mock Test Start Test
IBPS CLERK MOCK TEST Start Test
SSC MTS 2022 JULY 26 Shift 1 (ENGLISH) Start Test!
SSC GD Previous Year Paper 2021 Nov 17 Shift - I (Hindi) Start Test!
SSC CGL Tier - 1 PYP 2022 April 21 Shift- 1 (ENGLISH) Start Test!
MPSC PAPER I MOCK TEST 1 (ENGLISH) Start Test!
IB Security Assistant Mock test 1 (english) Start Test!
UP POLICE CONSTABLE MOCK TEST 1 Start Test!
DELHI POLICE CONSTABLE MOCK TEST 1 (HINDI) Start Test!

Chapters

Advertisement
Assam Direct Recruitment Test Series