Question 1

When a manager considers the effect of changes in an LP model's coefficients he/she is performing

Accepted Answer

A)  a random analysis. 
B)  a coefficient analysis. 
C)  a sensitivity analysis. 
D)  a qualitative analysis. 
A)  a random analysis. 
B)  a coefficient analysis. 
C)  a sensitivity analysis. 
D)  a qualitative analysis.

Question 2

Given the following Analytic Solver Platform sensitivity output what range of values can the objective function coefficient for variable X1 assume without changing the optimal solution?

Accepted Answer

The answer of Given the following Analytic Solver Platform sensitivity...

Question 3

Which of the constraints are binding at the optimal solution for the following problem and Analytic Solver Platform sensitivity output?   ​

Accepted Answer

The answer of Which of the constraints are binding at...

Question 4

A formulation has 20 variables and 8 constraints (not counting non-negativity). How many variables are nonbasic?

Accepted Answer

A)  8 
B)  12 
C)  20 
D)  28 
A)  8 
B)  12 
C)  20 
D)  28

Question 5

Given an objective function value of 150 and a shadow price for resource 1 of 5, if 10 more units of resource 1 are added (assuming the allowable increase is greater than 10), what is the impact on the objective function value?

Accepted Answer

A)  increase of 50 
B)  increase of unknown amount 
C)  decrease of 50 
D)  increase of 10 
A)  increase of 50 
B)  increase of unknown amount 
C)  decrease of 50 
D)  increase of 10

Question 6

Exhibit 4.2
The following questions correspond to the problem below and associated Analytic Solver Platform sensitivity report.
Robert Hope received a welcome surprise in this management science class; the instructor has decided to let each person define the percentage contribution to their grade for each of the graded instruments used in the class. These instruments were: homework, an individual project, a mid-term exam, and a final exam. Robert's grades on these instruments were 75, 94, 85, and 92, respectively. However, the instructor complicated Robert's task somewhat by adding the following stipulations:   The following LP model allows Robert to maximize his numerical grade.    
-Refer to Exhibit 4.2. Constraint cell F9 corresponds to the constraint, W1 + W2 + W3 + W4 = 1, and has a shadow price of 75. Armed with this information, what can Robert request of his instructor regarding this constraint?

Accepted Answer

Nothing. The constraint has th

Question 7

Identify the different sets of basic variables that might be used to obtain a solution to this problem.

Accepted Answer

The answer of Identify the different sets of basic variables...

Question 8

When a solution is degenerate the shadow prices and their ranges

Accepted Answer

A)  may be interpreted in the usual way but they may not be unique. 
B)  must be disregarded. 
C)  are always valid and unique. 
D)  are always understated 
A)  may be interpreted in the usual way but they may not be unique. 
B)  must be disregarded. 
C)  are always valid and unique. 
D)  are always understated

Question 9

What is the value of the objective function if X1 is set to 0 in the following Limits Report?

Accepted Answer

A)  80 
B)  800 
C)  2400 
D)  3200 
A)  80 
B)  800 
C)  2400 
D)  3200

Question 10

A solution to the system of equations using a set of basic variables is called

Accepted Answer

A)  a feasible solution. 
B)  basic feasible solution. 
C)  a nonbasic solution. 
D)  a nonbasic feasible solution 
A)  a feasible solution. 
B)  basic feasible solution. 
C)  a nonbasic solution. 
D)  a nonbasic feasible solution

Question 11

The shadow price of a nonbinding constraint is

Accepted Answer

A)  positive 
B)  zero 
C)  negative 
D)  indeterminate 
A)  positive 
B)  zero 
C)  negative 
D)  indeterminate

Question 12

What is the smallest value of the objective function coefficient X1 can assume without changing the optimal solution?   ​

Accepted Answer

Coefficien

Question 13

If the shadow price for a resource is 0 and 150 units of the resource are added what happens to the objective function value?

Accepted Answer

A)  increase of 150 
B)  increases more than 0 but less than 150 
C)  no change 
D)  increases but by an unknown amount 
A)  increase of 150 
B)  increases more than 0 but less than 150 
C)  no change 
D)  increases but by an unknown amount

Question 14

Analytic Solver Platform provides all of the following reports except

Accepted Answer

A)  Answer 
B)  Sensitivity 
C)  Cost performance 
D)  Limits 
A)  Answer 
B)  Sensitivity 
C)  Cost performance 
D)  Limits

Question 15

Identify the different sets of basic variables that might be used to obtain a solution to this problem.

Accepted Answer

The answer of Identify the different sets of basic variables...

Question 16

What needs to be done to the two constraints in order to convert the problem to a standard form?

Accepted Answer

A)  a slack variable needs to be added to each constraint to convert them to equalities. 
B)  nothing. 
C)  they need to be combined to a single constraint. 
D)  they need to be subtracted side-by-side 
A)  a slack variable needs to be added to each constraint to convert them to equalities. 
B)  nothing. 
C)  they need to be combined to a single constraint. 
D)  they need to be subtracted side-by-side

Question 17

When a solution is degenerate the reduced costs for the changing cells

Accepted Answer

A)  is always equal to zero. 
B)  may not be unique. 
C)  may be set to any value the manager needs. 
D)  is equal to infinity. 
A)  is always equal to zero. 
B)  may not be unique. 
C)  may be set to any value the manager needs. 
D)  is equal to infinity.

Question 18

Given the following Analytic Solver Platform sensitivity output how much does the objective function coefficient for X2 have to increase before it enters the optimal solution at a strictly positive value?

Accepted Answer

Question 19

For a minimization problem, if a decision variable's final value is 0, and its reduced cost is negative, which of the following is true?

Accepted Answer

A)  Alternate optimal solutions exist. 
B)  There is evidence of degeneracy. 
C)  No feasible solution was found. 
D)  The variable has a non-negativity constraint. 
A)  Alternate optimal solutions exist. 
B)  There is evidence of degeneracy. 
C)  No feasible solution was found. 
D)  The variable has a non-negativity constraint.

Question 20

Which of the following statements is false concerning either of the Allowable Increase and Allowable Decrease columns in the Sensitivity Report?

Accepted Answer

A)  The values equate the decision variable profit to the cost of resources expended. 
B)  The values give the range over which a shadow price is accurate. 
C)  The values give the range over which an objective function coefficient can change without changing the optimal solution. 
D)  The values provide a means to recognize when alternate optimal solution exist. 
A)  The values equate the decision variable profit to the cost of resources expended. 
B)  The values give the range over which a shadow price is accurate. 
C)  The values give the range over which an objective function coefficient can change without changing the optimal solution. 
D)  The values provide a means to recognize when alternate optimal solution exist.

When a manager considers the effect of changes in an LP model's coefficients he/she is performing

Given the following Analytic Solver Platform sensitivity output what range of values can the objective function coefficient for variable X1 assume without changing the optimal solution?

Which of the constraints are binding at the optimal solution for the following problem and Analytic Solver Platform sensitivity output?

A formulation has 20 variables and 8 constraints (not counting non-negativity). How many variables are nonbasic?

Given an objective function value of 150 and a shadow price for resource 1 of 5, if 10 more units of resource 1 are added (assuming the allowable increase is greater than 10), what is the impact on the objective function value?

Identify the different sets of basic variables that might be used to obtain a solution to this problem.

When a solution is degenerate the shadow prices and their ranges

What is the value of the objective function if X₁ is set to 0 in the following Limits Report?

A solution to the system of equations using a set of basic variables is called

The shadow price of a nonbinding constraint is

What is the smallest value of the objective function coefficient X₁ can assume without changing the optimal solution?

If the shadow price for a resource is 0 and 150 units of the resource are added what happens to the objective function value?

Analytic Solver Platform provides all of the following reports except

Identify the different sets of basic variables that might be used to obtain a solution to this problem.

What needs to be done to the two constraints in order to convert the problem to a standard form?

When a solution is degenerate the reduced costs for the changing cells

Given the following Analytic Solver Platform sensitivity output how much does the objective function coefficient for X₂ have to increase before it enters the optimal solution at a strictly positive value?

For a minimization problem, if a decision variable's final value is 0, and its reduced cost is negative, which of the following is true?

Which of the following statements is false concerning either of the Allowable Increase and Allowable Decrease columns in the Sensitivity Report?

Introduction to Modeling and Decision Analysis

Introduction to Optimization and Linear Programming

Modeling and Solving Lp Problems in a Spreadsheet

Network Modeling

Integer Linear Programming

Goal Programming and Multiple Objective Optimization

Nonlinear Programming Evolutionary Optimization

Regression Analysis

Data Mining

Time Series Forecasting

Introduction to Simulation Using Analytic Solver Platform

Queuing Theory

Decision Analysis

Project Management Online

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Exam 4: Sensitivity Analysis and the Simplex Method

When a manager considers the effect of changes in an LP model's coefficients he/she is performing

Given the following Analytic Solver Platform sensitivity output what range of values can the objective function coefficient for variable X1 assume without changing the optimal solution?

Which of the constraints are binding at the optimal solution for the following problem and Analytic Solver Platform sensitivity output? ​

A formulation has 20 variables and 8 constraints (not counting non-negativity). How many variables are nonbasic?

Given an objective function value of 150 and a shadow price for resource 1 of 5, if 10 more units of resource 1 are added (assuming the allowable increase is greater than 10), what is the impact on the objective function value?

Identify the different sets of basic variables that might be used to obtain a solution to this problem.

When a solution is degenerate the shadow prices and their ranges

What is the value of the objective function if X1 is set to 0 in the following Limits Report?

A solution to the system of equations using a set of basic variables is called

The shadow price of a nonbinding constraint is

What is the smallest value of the objective function coefficient X1 can assume without changing the optimal solution? ​

If the shadow price for a resource is 0 and 150 units of the resource are added what happens to the objective function value?

Analytic Solver Platform provides all of the following reports except

Identify the different sets of basic variables that might be used to obtain a solution to this problem.

What needs to be done to the two constraints in order to convert the problem to a standard form?

When a solution is degenerate the reduced costs for the changing cells

Given the following Analytic Solver Platform sensitivity output how much does the objective function coefficient for X2 have to increase before it enters the optimal solution at a strictly positive value?

For a minimization problem, if a decision variable's final value is 0, and its reduced cost is negative, which of the following is true?

Which of the following statements is false concerning either of the Allowable Increase and Allowable Decrease columns in the Sensitivity Report?

Introduction to Modeling and Decision Analysis

Introduction to Optimization and Linear Programming

Modeling and Solving Lp Problems in a Spreadsheet

Network Modeling

Integer Linear Programming

Goal Programming and Multiple Objective Optimization

Nonlinear Programming Evolutionary Optimization

Regression Analysis

Data Mining

Time Series Forecasting

Introduction to Simulation Using Analytic Solver Platform

Queuing Theory

Decision Analysis

Project Management Online

Filters

Which of the constraints are binding at the optimal solution for the following problem and Analytic Solver Platform sensitivity output?

What is the value of the objective function if X₁ is set to 0 in the following Limits Report?

What is the smallest value of the objective function coefficient X₁ can assume without changing the optimal solution?

Given the following Analytic Solver Platform sensitivity output how much does the objective function coefficient for X₂ have to increase before it enters the optimal solution at a strictly positive value?