Test: Linear Programming - 1


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10 Questions MCQ Test Topicwise Question Bank for Mechanical Engineering | Test: Linear Programming - 1

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Test: Linear Programming - 1 - Question 1

The mathematical technique used for finding the best use of limited resources of a concern in the optimum manner is referred to as

Test: Linear Programming - 1 - Question 2

Consider the following statements: Linear programming model can be applied to
1. Line balancing problem
2. Transportation problem
3. Network scheduling

Which of these are correct statements?

Test: Linear Programming - 1 - Question 3

Shadow price in linear programming refers to the

Test: Linear Programming - 1 - Question 4

The linear programming is used for optimization problems which satisfy the following conditions:
1. Objective function is expressed as a linear function of variables.
2. Resources are unlimited.
3. The decision variables are interrelated and non-negative.

Which of these statements is/are correct?

Detailed Solution for Test: Linear Programming - 1 - Question 4

LP is used for optimization problems having limited resource. Unlimited resources have nothing to do with optimization.

Test: Linear Programming - 1 - Question 5

In case of solution of a two variable linear programming problems by graphical method, one constraint line comes parallel to the objective function line. Then the problem will have

Test: Linear Programming - 1 - Question 6

Find the maximum value of the objective function z = 4x + 6y where x ≥ 0 and y ≥ 0, subject to the constraints
- x + y ≤ 11
x + y ≤ 27
2x + 5y ≤ 90

Detailed Solution for Test: Linear Programming - 1 - Question 6


At (0,0): z = 4(0) + 6(0) = 0
At (0, 11): z = 4(0)+ 6(11) = 66
At (5, 16): z = 4(5)+ 6(16) = 116
At (15, 12): z = 4(15) + 6(12) = 132
At (27,0): z = 4(27)+ 6(0) = 108

Test: Linear Programming - 1 - Question 7

The while solving a LP model graphically, the area bounded by the constraints is called

Test: Linear Programming - 1 - Question 8

While solving a LP problem, infeasibility may be removed by

Test: Linear Programming - 1 - Question 9

Which one of the following is true in case of simplex method of linear programming?

Test: Linear Programming - 1 - Question 10

A feasible solution to an LP problem

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