CHAPTER 1
INTRODUCTION
True-False Questions
1-1 Managers need to know the mathematical theory behind the techniques of
management science so that they can lead management science teams.
F
1-2 Spreadsheets allow many managers to conduct their own analyses in management
science studies.
T
1-3 Management science is a discipline that attempts to aid managerial decision making
by applying a scientific approach to managerial problems that involve quantitative
factors.
T
1-4 The discovery of the simplex method in 1947 was the beginning of management
science as a discipline.
F
1-5 Managers make decisions based solely on the quantitative factors involved in the
problem.
F
1-6 A management science team will try to conduct a systematic investigation of a
problem that includes careful data gathering, developing and testing hypotheses,
and then applying sound logic in the analysis.
T
1-7 The mathematical model of a business problem is the system of equations and
related mathematical expressions that describes the essence of the problem.
T
1-8 Once management makes its decisions, the management science team typically is
finished with its involvement in the problem.
F
1-9 A cost that varies with the production volume would be a fixed cost.
F
1-10 A cost that varies with the production volume would be a variable cost.
T
,1-11 At the break-even point, management is indifferent between producing a product
and not producing it.
T
1-12 A constraint is an algebraic variable that represents a quantifiable decision to be
made.
F
1-13 A decision variable is an algebraic variable that represents a quantifiable decision to
be made.
T
1-14 A parameter in a model is a variable that represents a decision to be made.
F
1-15 The objective function for a model is a mathematical expression of the measure of
performance for the problem in terms of the decision variables.
T
1-16 Sensitivity analysis is used to check the effect of changes in the model.
T
Multiple-Choice Questions
1-17 Enlightened future managers should know which of the following?
a. The power and relevance of management science.
b. When management science can and cannot be applied.
c. How to apply the major techniques of management science.
d. How to interpret the results of a management science study.
*e. All of the above.
1-18 The rapid development of the management science discipline can be credited in part
to:
a. World War I.
b. George Dantzig.
c. the computer revolution.
*d. b. and c. only.
e. a., b., and c..
,1-19 Managers may base their decisions on which of the following?
a. Quantitative factors.
b. Their best judgement.
c. Opinions from other managers.
d. Past experience.
*e. All of the above.
1-20 Management science is based strongly on which of the following fields?
a. Mathematics.
b. Computer science.
c. Business administration.
*d. a. and b. only.
e. All of the above.
1-21 Which of the following are components of a mathematical model for decision
making?
a. Decision variables.
b. An objective function.
c. Constraints.
d. Parameters.
*e. All of the above.
1-22 Which of the following are steps in a typical management science study?
a. Define the problem and gather data.
b. Formulate a model to represent the problem.
c. Test the model and refine it as needed.
d. Help to implement the recommendations.
*e. All of the above.
1-23 Which of the following is a mathematical expression that gives the measure of
performance for the problem?
a. Decision variable.
b. Parameter.
*c. Objective function.
d. Constraint.
e. None of the above.
, 1-24 Which of the following is a constant in a mathematical model?
a. Decision variable.
*b. Parameter.
c. Objective function.
d. Constraint.
e. None of the above.
1-25 Which of the following is an inequality or equation that expresses a restriction in a
mathematical model?
a. Decision variable.
b. Parameter.
c. Objective function.
*d. Constraint.
e. None of the above.
1-26 Which of the following is an inequality or equation that expresses a restriction in a
mathematical model?
a. Decision variable.
b. Parameter.
c. Objective function.
*d. Constraint.
e. None of the above.
CHAPTER 2
LINEAR PROGRAMMING: BASIC CONCEPTS
True-False Questions
2-1 Linear programming problems may have multiple goals or objectives specified.
F
2-2 Linear programming allows a manager to find the best mix of activities to pursue
and at what levels.
T
2-3 Linear programming problems always involve either maximizing or minimizing an
objective function.
T
2-4 All linear programming models have an objective function and at least two
constraints.
F
2-5 Constraints limit the alternatives available to a decision-maker.
T
INTRODUCTION
True-False Questions
1-1 Managers need to know the mathematical theory behind the techniques of
management science so that they can lead management science teams.
F
1-2 Spreadsheets allow many managers to conduct their own analyses in management
science studies.
T
1-3 Management science is a discipline that attempts to aid managerial decision making
by applying a scientific approach to managerial problems that involve quantitative
factors.
T
1-4 The discovery of the simplex method in 1947 was the beginning of management
science as a discipline.
F
1-5 Managers make decisions based solely on the quantitative factors involved in the
problem.
F
1-6 A management science team will try to conduct a systematic investigation of a
problem that includes careful data gathering, developing and testing hypotheses,
and then applying sound logic in the analysis.
T
1-7 The mathematical model of a business problem is the system of equations and
related mathematical expressions that describes the essence of the problem.
T
1-8 Once management makes its decisions, the management science team typically is
finished with its involvement in the problem.
F
1-9 A cost that varies with the production volume would be a fixed cost.
F
1-10 A cost that varies with the production volume would be a variable cost.
T
,1-11 At the break-even point, management is indifferent between producing a product
and not producing it.
T
1-12 A constraint is an algebraic variable that represents a quantifiable decision to be
made.
F
1-13 A decision variable is an algebraic variable that represents a quantifiable decision to
be made.
T
1-14 A parameter in a model is a variable that represents a decision to be made.
F
1-15 The objective function for a model is a mathematical expression of the measure of
performance for the problem in terms of the decision variables.
T
1-16 Sensitivity analysis is used to check the effect of changes in the model.
T
Multiple-Choice Questions
1-17 Enlightened future managers should know which of the following?
a. The power and relevance of management science.
b. When management science can and cannot be applied.
c. How to apply the major techniques of management science.
d. How to interpret the results of a management science study.
*e. All of the above.
1-18 The rapid development of the management science discipline can be credited in part
to:
a. World War I.
b. George Dantzig.
c. the computer revolution.
*d. b. and c. only.
e. a., b., and c..
,1-19 Managers may base their decisions on which of the following?
a. Quantitative factors.
b. Their best judgement.
c. Opinions from other managers.
d. Past experience.
*e. All of the above.
1-20 Management science is based strongly on which of the following fields?
a. Mathematics.
b. Computer science.
c. Business administration.
*d. a. and b. only.
e. All of the above.
1-21 Which of the following are components of a mathematical model for decision
making?
a. Decision variables.
b. An objective function.
c. Constraints.
d. Parameters.
*e. All of the above.
1-22 Which of the following are steps in a typical management science study?
a. Define the problem and gather data.
b. Formulate a model to represent the problem.
c. Test the model and refine it as needed.
d. Help to implement the recommendations.
*e. All of the above.
1-23 Which of the following is a mathematical expression that gives the measure of
performance for the problem?
a. Decision variable.
b. Parameter.
*c. Objective function.
d. Constraint.
e. None of the above.
, 1-24 Which of the following is a constant in a mathematical model?
a. Decision variable.
*b. Parameter.
c. Objective function.
d. Constraint.
e. None of the above.
1-25 Which of the following is an inequality or equation that expresses a restriction in a
mathematical model?
a. Decision variable.
b. Parameter.
c. Objective function.
*d. Constraint.
e. None of the above.
1-26 Which of the following is an inequality or equation that expresses a restriction in a
mathematical model?
a. Decision variable.
b. Parameter.
c. Objective function.
*d. Constraint.
e. None of the above.
CHAPTER 2
LINEAR PROGRAMMING: BASIC CONCEPTS
True-False Questions
2-1 Linear programming problems may have multiple goals or objectives specified.
F
2-2 Linear programming allows a manager to find the best mix of activities to pursue
and at what levels.
T
2-3 Linear programming problems always involve either maximizing or minimizing an
objective function.
T
2-4 All linear programming models have an objective function and at least two
constraints.
F
2-5 Constraints limit the alternatives available to a decision-maker.
T
