Operation Research Multiple Choice Questions Assignment

| June 7, 2016

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The purpose of the ratio test is to

1.

Determine the slack, surplus and artificial variables

2.

Determine the variable to enter the next tableau

3.

Determine the variable to exit the next tableau

4.

All of the above

5.

None of the above

5 points

Question 2

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Refer to problem 1 on page 171 of the text. Which of the following statement is true?

1.

There are three constraints associated with this problem

2.

There are three slack variables that are associated with this problem

3.

The initial tableau will have X1=0 and X2 = 0.

4.

All of the above

5.

None of the above

10 points

Question 3

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The objective function in linear programming usually

1.

Specifies the rate of use of a resource by each activity

2.

Specifies the mathematical expression to be maximized or minimized

3.

Is a dimensionless quantity and is expressed without measurable units

4.

Is constrained to some level of attainment of the specified objective

5.

Is represented by a less than or equal to inequality

5 points

Question 4

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The first step in the simplex algorithm is to:

1.

Convert the constraints of the LP to the standard form by removing the inequalities and adding slack, surplus and artificial variables

2.

Determine the variable to enter the next tableau by conducting a test on the Z row

3.

Determine the exiting variable by conducting the ratio test.

4.

Setting up the tableau with the objective function values and constraints

5 points

Question 5

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The simplex algorithm process uses ____________ principles to form the basis of solving for an optimal solution

1.

Bernulli’s equation

2.

Quadratic equations

3.

The method of least squares

4.

Gauss-Jordan Method

10 points

Question 6

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A nonbasic variable

1.

Is determined by conducting the ratio test

2.

Is a nonnegative number

3.

has a value of zero

4.

All of the above

5.

None of the above

10 points

Question 7

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Match the simplex algorithm term to the appropriate definition

Ratio Test

Slack Variable

Surplus Variable

Real Decision Variables

Basic Variables

A.

Determines variable to exit next tableau

B.

Solution variables of the problem

C.

Associated with less than or equal to constraints

D.

Associated with greater than or equal to constraints

E.

Have values other than zero

25 points

Question 8

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Refer to the LP model and solution shown in figure 6 on page 242. The following statement is true:

1.

The optimum profit is 350

2.

The value for L is 25

3.

One of the resources uses exactly 125 units

4.

All of the above

5.

None of the above

10 points

Question 9

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Refer to the tableau on page 215 of text (table 75). Assume that this is a tableau for a maximization problem. For the tableau to be optimal, what should the values be for c1, c2 and b

1.

c1=-2, c2=1 and b=6

2.

c1 = 4, c2 = 3, and b = 6

3.

C1 = 3, C2 = 6, b = -1

4.

All of the above

5.

None of the above

10 points

Question 10

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Which of the following is not required for all linear programming problems?

1.

There must be an objective function to be maximized or minimized

2.

The variables may only assume continuous values that are greater than or equal to zero

3.

The constraints and objective function must be linear

4.

The number of constraints must be less than or equal to the number of variables

5.

All of the above are required

5 points

Question 11

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Which of the following is true in the standard form of a linear programming problem?

1.

Each constraint is expressed as an equality

2.

There will be the same number of variables as constraints

3.

Redundant constraints will have to be removed

4.

All of the above is true

5.

None of the above is true

5 points

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