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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

Solution:

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?

Solution:

QUESTION: 3

Shadow price in linear programming refers to the

Solution:

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?

Solution:

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

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

Solution:

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

Solution:

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

QUESTION: 7

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

Solution:

QUESTION: 8

While solving a LP problem, infeasibility may be removed by

Solution:

QUESTION: 9

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

Solution:

QUESTION: 10

A feasible solution to an LP problem

Solution:

### Solution- Linear Programming Test-1

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