Question 1

A parameter analysis report can only be used to investigate changes in a single data cell at a time

Accepted Answer

A) True 
 B)False

Question 2

In a problem with 4 decision variables,the 100% rule indicates that each objective coefficient can be safely increase by what amount without invalidating the current optimal solution?

Accepted Answer

A) 25% 
B) 25% of the allowable increase of that coefficient 
C) 100% 
D) 25% of the range of optimality 
E) It can't be determined from the information given 
A) 25% 
B) 25% of the allowable increase of that coefficient 
C) 100% 
D) 25% of the range of optimality 
E) It can't be determined from the information given

Question 3

Shadow price analysis is widely used to help management find the best trade-off between costs and benefits for a problem

Accepted Answer

A) True 
 B)False

Question 4

If the coefficient of Activity 2 in the objective function changes to $100,then:

Accepted Answer

A) the original solution remains optimal 
B) the problem must be resolved to find the optimal solution 
C) the shadow price is valid 
D) the shadow price is not valid 
E) None of the above 
A) the original solution remains optimal 
B) the problem must be resolved to find the optimal solution 
C) the shadow price is valid 
D) the shadow price is not valid 
E) None of the above

Question 5

An optimal solution is only optimal with respect to a particular mathematical model that provides only a representation of the actual problem

Accepted Answer

A) True 
 B)False

Question 6

A shadow price tells how much a decision variable can be increased or decreased without changing the value of the solution

Accepted Answer

A) True 
 B)False

Question 7

If the right-hand side of Resource B changes to 80,then the objective function value:

Accepted Answer

A) will decrease by $75 
B) will decrease by $150 
C) will decrease by $225 
D) will remain the same 
E) can only be discovered by resolving the problem 
A) will decrease by $75 
B) will decrease by $150 
C) will decrease by $225 
D) will remain the same 
E) can only be discovered by resolving the problem

Question 8

When certain parameters of a model represent managerial policy decisions,what-if analysis provides information about what the impact would be of altering these policy decisions

Accepted Answer

A) True 
 B)False

Question 9

If the sum of the percentage changes of the right-hand sides does not exceed 100%,then the solution will definitely remain optimal

Accepted Answer

A) True 
 B)False

Question 10

If the right-hand side of Resource B changes to 10,then the objective function value:

Accepted Answer

A) will decrease by $120 
B) will decrease by $60 
C) will decrease by $20 
D) will remain the same 
E) can only be discovered by resolving the problem 
A) will decrease by $120 
B) will decrease by $60 
C) will decrease by $20 
D) will remain the same 
E) can only be discovered by resolving the problem

Question 11

If the coefficient for Activity 2 in the objective function changes to $400,then the objective function value:

Accepted Answer

A) will increase by $7,500 
B) will increase by $2,750 
C) will increase by $100 
D) will remain the same 
E) can only be discovered by resolving the problem 
A) will increase by $7,500 
B) will increase by $2,750 
C) will increase by $100 
D) will remain the same 
E) can only be discovered by resolving the problem

Question 12

If the coefficient of Activity 1 in the objective function changes to $10,then:

Accepted Answer

A) the original solution remains optimal 
B) the problem must be resolved to find the optimal solution 
C) the shadow price is valid 
D) the shadow price is not valid 
E) None of the above 
A) the original solution remains optimal 
B) the problem must be resolved to find the optimal solution 
C) the shadow price is valid 
D) the shadow price is not valid 
E) None of the above

Question 13

Which of the following are benefits of what-if analysis?

Accepted Answer

A) It pinpoints the sensitive parameters of the model 
B) It gives the new optimal solution if conditions change 
C) It tells management what policy decisions to make 
D) All of the above 
E) None of the above 
A) It pinpoints the sensitive parameters of the model 
B) It gives the new optimal solution if conditions change 
C) It tells management what policy decisions to make 
D) All of the above 
E) None of the above

Question 14

The allowable range for an objective function coefficient assumes that the original estimates for all the other coefficients are completely accurate so that this is the only one whose true value may differ from its original estimate

Accepted Answer

A) True 
 B)False

Question 15

If the coefficient for Activity 3 in the objective function changes to $30,then the objective function value:

Accepted Answer

A) will increase by $70 
B) is $0 
C) will increase by $30 
D) will remain the same 
E) will increase by an unknown amount 
A) will increase by $70 
B) is $0 
C) will increase by $30 
D) will remain the same 
E) will increase by an unknown amount

Question 16

-What is the allowable range for changes in the right-hand-side for Resource C?

Accepted Answer

A) 18 ≤ RHSc ≤ ∞ 
B) ∞ ≤ RHSc ≤ 62 
C) -2 ≤ RHSc ≤ ∞ 
D) -∞ ≤ RHSc ≤ 40 
E) 0 ≤ RHSc ≤ 22 
A) 18 ≤ RHSc ≤ ∞ 
B) ∞ ≤ RHSc ≤ 62 
C) -2 ≤ RHSc ≤ ∞ 
D) -∞ ≤ RHSc ≤ 40 
E) 0 ≤ RHSc ≤ 22

Question 17

If the change to a right-hand side is within the allowable range,the value of the shadow price remains valid

Accepted Answer

A) True 
 B)False

A parameter analysis report can only be used to investigate changes in a single data cell at a time

In a problem with 4 decision variables,the 100% rule indicates that each objective coefficient can be safely increase by what amount without invalidating the current optimal solution?

Shadow price analysis is widely used to help management find the best trade-off between costs and benefits for a problem

If the coefficient of Activity 2 in the objective function changes to $100,then:

An optimal solution is only optimal with respect to a particular mathematical model that provides only a representation of the actual problem

A shadow price tells how much a decision variable can be increased or decreased without changing the value of the solution

If the right-hand side of Resource B changes to 80,then the objective function value:

When certain parameters of a model represent managerial policy decisions,what-if analysis provides information about what the impact would be of altering these policy decisions

If the sum of the percentage changes of the right-hand sides does not exceed 100%,then the solution will definitely remain optimal

If the right-hand side of Resource B changes to 10,then the objective function value:

If the coefficient for Activity 2 in the objective function changes to $400,then the objective function value:

If the coefficient of Activity 1 in the objective function changes to $10,then:

Which of the following are benefits of what-if analysis?

The allowable range for an objective function coefficient assumes that the original estimates for all the other coefficients are completely accurate so that this is the only one whose true value may differ from its original estimate

If the coefficient for Activity 3 in the objective function changes to $30,then the objective function value:

-What is the allowable range for changes in the right-hand-side for Resource C?

If the change to a right-hand side is within the allowable range,the value of the shadow price remains valid

Introduction

Linear programming: Basic Concepts

Linear programming: Formulation and applications

Theart of modeling with spread sheets

Network optimization problems

Using binary integer programming to deal withy es-Or-No decisions

Non linear programming

Decision Analysis

Forecasting

Queuing models

Computer simulation: Basic Concepts

Computer simulation with risks olver platform

Solution concepts for linear programming

Transportation and assignment problems

Pert CPM models for project management

Goal programming

Inventory management with known demand

Inventory management with uncertain demand

Computer simulation with crystal ball

Filters

Exam 5: What-If Analysis for linear programming

A parameter analysis report can only be used to investigate changes in a single data cell at a time

In a problem with 4 decision variables,the 100% rule indicates that each objective coefficient can be safely increase by what amount without invalidating the current optimal solution?

Shadow price analysis is widely used to help management find the best trade-off between costs and benefits for a problem

If the coefficient of Activity 2 in the objective function changes to $100,then:

An optimal solution is only optimal with respect to a particular mathematical model that provides only a representation of the actual problem

A shadow price tells how much a decision variable can be increased or decreased without changing the value of the solution

If the right-hand side of Resource B changes to 80,then the objective function value:

When certain parameters of a model represent managerial policy decisions,what-if analysis provides information about what the impact would be of altering these policy decisions

If the sum of the percentage changes of the right-hand sides does not exceed 100%,then the solution will definitely remain optimal

If the right-hand side of Resource B changes to 10,then the objective function value:

If the coefficient for Activity 2 in the objective function changes to $400,then the objective function value:

If the coefficient of Activity 1 in the objective function changes to $10,then:

Which of the following are benefits of what-if analysis?

The allowable range for an objective function coefficient assumes that the original estimates for all the other coefficients are completely accurate so that this is the only one whose true value may differ from its original estimate

If the coefficient for Activity 3 in the objective function changes to $30,then the objective function value:

-What is the allowable range for changes in the right-hand-side for Resource C?

If the change to a right-hand side is within the allowable range,the value of the shadow price remains valid

Introduction

Linear programming: Basic Concepts

Linear programming: Formulation and applications

Theart of modeling with spread sheets

Network optimization problems

Using binary integer programming to deal withy es-Or-No decisions

Non linear programming

Decision Analysis

Forecasting

Queuing models

Computer simulation: Basic Concepts

Computer simulation with risks olver platform

Solution concepts for linear programming

Transportation and assignment problems

Pert CPM models for project management

Goal programming

Inventory management with known demand

Inventory management with uncertain demand

Computer simulation with crystal ball

Filters