Linear Programming Test

Linear Programming

This is Linear Programming Test-05 for CBSE class 12 Maths.. There are 15 questions in this test with each question having around four answer choices.

Questions & Answers

1
Corner points of the feasible region for an LPP are (0, 2), (3, 0), (6, 0), (6, 8) and (0, 5).Let F = 4x + 6y be the objective function. Maximum of F – Minimum of F =
  • A
    48
  • B
    42
  • C
    60
    Correct
  • D
    18
2
Corner points of the feasible region determined by the system of linear constraints are (0, 3), (1, 1) and (3, 0). Let Z = px+qy, where p, q > 0. Condition on p and q so that the minimum of Z occurs at (3, 0) and (1, 1) is
  • A
    p = q
  • B
    p = 3q
  • C
    p = 2q
  • D
    \(p = \frac{q}{2}\)
    Correct
3
In a LPP, the linear inequalities or restrictions on the variables are called
  • A
    Linear constraints
    Correct
  • B
    Limits
  • C
    Constraints
  • D
    Inequalities
4
Determine the maximum value of Z = 3x + 4y if the feasible region (shaded) for a LPP is shown in Figure above.
Question 4 figure 1
  • A
    206
  • B
    196
    Correct
  • C
    226
  • D
    216
5
Feasible region (shaded) for a LPP is shown in Figure. Maximize Z = 5x + 7y.
Question 5 figure 1
  • A
    47
  • B
    43
    Correct
  • C
    45
  • D
    49
6
The feasible region for a LPP is shown in Figure. Find the minimum value of Z = 11x + 7y.
Question 6 figure 1
  • A
    22
  • B
    19
  • C
    20
  • D
    21
    Correct
7
The feasible region for a LPP is shown in Figure. Find the maximum value of Z = 11x + 7y.
Question 7 figure 1
  • A
    49
  • B
    50
  • C
    47
    Correct
  • D
    48
8
The feasible region for a LPP is shown in Figure. Evaluate Z = 4x + y at each of the corner points of this region. Find the minimum value of Z, if it exists
Question 8 figure 1
  • A
    Minimum value = 5
  • B
    Minimum value = 4
  • C
    Minimum value = 3
  • D
    Minimum value = 2
    Correct
9
In Figure, the feasible region (shaded) for a LPP is shown. Determine the maximum and minimum value of Z = x + 2y
Question 9 figure 1
  • A
    Maximum = 10, minimum = 3\(\frac{1}{4}\)
  • B
    Maximum = 8, minimum = 3\(\frac{1}{6}\)
  • C
    Maximum = 9, minimum = 3\(\frac{1}{7}\)
    Correct
  • D
    Maximum = 7, minimum = 3\(\frac{1}{9}\)
10
Determine the minimum value of Z = 3x + 4y if the feasible region (shaded) for a LPP is shown in Figure above.
Question 10 figure 1
  • A
    154
  • B
    132
    Correct
  • C
    196
  • D
    112
11
The feasible solution for a LPP is shown in Figure. Let Z = 3x – 4y be the objective function. Minimum of Z occurs at
Question 11 figure 1
  • A
    (5, 0)
  • B
    (0, 0)
  • C
    (0, 8)
    Correct
  • D
    (4, 10)
12
The feasible solution for a LPP is shown in Figure. Let Z = 3x – 4y be the objective function. Maximum value of Z occurs at
Question 12 figure 1
  • A
    (6, 8)
  • B
    (4, 10)
  • C
    (6, 5)
  • D
    (5, 0)
    Correct
13
The feasible solution for a LPP is shown in Figure. Let Z = 3x – 4y be the objective function. (Maximum value of Z + Minimum value of Z) is equal to
Question 13 figure 1
  • A
    – 13
  • B
    13
  • C
    – 17
    Correct
  • D
    1
14
The feasible region for an LPP is shown in the Figure. Let F = 3x – 4y be the objective function. Maximum value of F is.
Question 14 figure 1
  • A
    8
  • B
    – 18
  • C
    12
    Correct
  • D
    0
15
The feasible region for an LPP is shown in the Figure. Let F = 3x – 4y be the objective function.Minimum value of F is.
Question 15 figure 1
  • A
    12
  • B
    0
  • C
    – 16
  • D
    does not exist
    Correct