Question 1

If the objective function has the equation   ,then the slope of the objective function line is 2:

Accepted Answer

A) True 
 B)False

Question 2

Proportionality,additivity,and divisibility are three important properties that LP models possess,which distinguish them from general mathematical programming models:.

Accepted Answer

A) True 
 B)False

Question 3

What is the objective function in this problem?

Accepted Answer

Minimize 50x11 + 40x

Question 4

Suppose the allowable increase and decrease for shadow price for a constraint are $25 (increase)and $10 (decrease).If the right hand side of that constraint were to increase by $10 the optimal value of the objective function would change.

Accepted Answer

A) True 
 B)False

Question 5

What are the constraints in this problem?

Accepted Answer

Market demand constraints for

Question 6

The equation of the line representing the constraint   is:

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 7

(A)What is the objective function in this problem?
(B)What are the constraints in this problem? Write an algebraic expression for each.
(C)Find an optimal solution to the problem using the formulation given in (A)and (B).What is the call plan,and what is the total cost?
(D)Implement the model in (C)in Excel Solver and obtain an answer report.Which constraints are binding on the optimal solution?
(E)Obtain a sensitivity report for the model in (D).If the professor could cut the cost of evening calls from $4 to $3,what would the new calling plan be?
(F)Again using the sensitivity report obtained for (E),suppose the professor could get by with just 100 calls for single females.What would the call costs be in that case? Explain your answer.

Accepted Answer

(A)Let x and y represent the number of d

Question 8

There are generally two steps in solving an optimization problem,model development and optimization.

Accepted Answer

A) True 
 B)False

Question 9

If the objective function has the equation   ,then the y-intercept of the objective function line is 40:

Accepted Answer

A) True 
 B)False

Question 10

(A)Formulate a linear programming model that will enable the farmer to determine the number of acres that should be planted cotton and/or corn in order to maximize his profit.
(B)Find an optimal solution to the model in (A)and determine the maximum profit.
(C)Implement the model in (A)in Excel Solver and obtain an answer report.Which constraints are binding on the optimal solution?
(D)Obtain a sensitivity report for the model in (A).How much should the farmer be willing to pay for an additional worker?
(E)Suppose the farmer hires 10 additional workers.Can you use the sensitivity analysis obtained for (D)to determine his expected profit? Would his planting plan change? Explain your answer.
(F)Suppose the farmer now wants to hire 20 additional workers,instead of just 10.Can you use the sensitivity analysis obtained for (D)to determine his expected profit? Explain your answer.

Accepted Answer

(A)Let @#IMG-DLM& and @#IMG-DLM& The linear programming mode

Question 11

In general,the complete solution of a linear programming problem involves three stages: formulating the model,invoking Solver to find the optimal solution,and performing sensitivity analysis.

Accepted Answer

A) True 
 B)False

Question 12

The additivity property of linear programming implies that the contribution of any decision variable to the objective is of/on the levels of the other decision variables.

Accepted Answer

A) dependent 
B) independent 
C) conditional 
D) the sum 
A) dependent 
B) independent 
C) conditional 
D) the sum

Question 13

In most cases in solving linear programming problems,we want the decision variables to be:

Accepted Answer

A) equal to zero 
B) nonnegative 
C) nonpositive 
D) All of these options 
A) equal to zero 
B) nonnegative 
C) nonpositive 
D) All of these options

Question 14

The prototype linear programming problem is to select an optimal mix of products to produce to maximize profit.This type of problem is referred to as the:

Accepted Answer

A) product mix problem 
B) production problem 
C) product/process problem 
D) product scheduling problem 
A) product mix problem 
B) production problem 
C) product/process problem 
D) product scheduling problem

Question 15

The proportionality property of LP models means that if the level of any activity is multiplied by a constant factor,then the contribution of this activity to the objective function,or to any of the constraints in which the activity is involved,is multiplied by the same factor.

Accepted Answer

A) True 
 B)False

Question 16

What are the constraints in this problem?

Accepted Answer

There are six constraint equat

Question 17

What is the optimal shipping plan? What are the total costs in that case?

Accepted Answer

The optimal shipping plan is t

Question 18

Suppose a company sells two different products,x and y,for net profits of $5 per unit and $10 per unit,respectively.The slope of the line representing the objective function is:

Accepted Answer

A) 0.5 
B) -0.5 
C) 2 
D) -2 
A) 0.5 
B) -0.5 
C) 2 
D) -2

Question 19

In an optimization model,there can only be one:

Accepted Answer

A) decision variable 
B) constraint 
C) objective function 
D) shadow price 
A) decision variable 
B) constraint 
C) objective function 
D) shadow price

Question 20

Consider the following linear programming problem: Maximize   Subject to         The above linear programming problem:

Accepted Answer

A) has only one optimal solution 
B) has more than one optimal solution 
C) exhibits infeasibility 
D) exhibits unboundedness 
A) has only one optimal solution 
B) has more than one optimal solution 
C) exhibits infeasibility 
D) exhibits unboundedness

If the objective function has the equation ,then the slope of the objective function line is 2:

Proportionality,additivity,and divisibility are three important properties that LP models possess,which distinguish them from general mathematical programming models:.

What is the objective function in this problem?

Suppose the allowable increase and decrease for shadow price for a constraint are $25 (increase)and $10 (decrease).If the right hand side of that constraint were to increase by $10 the optimal value of the objective function would change.

What are the constraints in this problem?

The equation of the line representing the constraint is:

There are generally two steps in solving an optimization problem,model development and optimization.

If the objective function has the equation ,then the y-intercept of the objective function line is 40:

In general,the complete solution of a linear programming problem involves three stages: formulating the model,invoking Solver to find the optimal solution,and performing sensitivity analysis.

The additivity property of linear programming implies that the contribution of any decision variable to the objective is of/on the levels of the other decision variables.

In most cases in solving linear programming problems,we want the decision variables to be:

The prototype linear programming problem is to select an optimal mix of products to produce to maximize profit.This type of problem is referred to as the:

The proportionality property of LP models means that if the level of any activity is multiplied by a constant factor,then the contribution of this activity to the objective function,or to any of the constraints in which the activity is involved,is multiplied by the same factor.

What are the constraints in this problem?

What is the optimal shipping plan? What are the total costs in that case?

Suppose a company sells two different products,x and y,for net profits of $5 per unit and $10 per unit,respectively.The slope of the line representing the objective function is:

In an optimization model,there can only be one:

Consider the following linear programming problem: Maximize Subject to The above linear programming problem:

Introduction to Data Analysis and Decision Making

Describing the Distribution of a Single Variable

Finding Relationships Among Variables

Probability and Probability Distributions

Normal, binomial, poisson, and Exponential Distributions

Decision Making Under Uncertainty

Sampling and Sampling Distributions

Confidence Interval Estimation

Hypothesis Testing

Regression Analysis: Estimating Relationships

Regression Analysis: Statistical Inference

Time Series Analysis and Forecasting

Optimization Modeling: Applications

Introduction to Simulation Modeling

Simulation Models

Filters

Exam 13: Introduction to Optimization Modeling

If the objective function has the equation ,then the slope of the objective function line is 2:

Proportionality,additivity,and divisibility are three important properties that LP models possess,which distinguish them from general mathematical programming models:.

What is the objective function in this problem?

Suppose the allowable increase and decrease for shadow price for a constraint are $25 (increase)and $10 (decrease).If the right hand side of that constraint were to increase by $10 the optimal value of the objective function would change.

What are the constraints in this problem?

The equation of the line representing the constraint is:

There are generally two steps in solving an optimization problem,model development and optimization.

If the objective function has the equation ,then the y-intercept of the objective function line is 40:

In general,the complete solution of a linear programming problem involves three stages: formulating the model,invoking Solver to find the optimal solution,and performing sensitivity analysis.

The additivity property of linear programming implies that the contribution of any decision variable to the objective is of/on the levels of the other decision variables.

In most cases in solving linear programming problems,we want the decision variables to be:

The prototype linear programming problem is to select an optimal mix of products to produce to maximize profit.This type of problem is referred to as the:

The proportionality property of LP models means that if the level of any activity is multiplied by a constant factor,then the contribution of this activity to the objective function,or to any of the constraints in which the activity is involved,is multiplied by the same factor.

What are the constraints in this problem?

What is the optimal shipping plan? What are the total costs in that case?

Suppose a company sells two different products,x and y,for net profits of $5 per unit and $10 per unit,respectively.The slope of the line representing the objective function is:

In an optimization model,there can only be one:

Consider the following linear programming problem: Maximize Subject to The above linear programming problem:

Introduction to Data Analysis and Decision Making

Describing the Distribution of a Single Variable

Finding Relationships Among Variables

Probability and Probability Distributions

Normal, binomial, poisson, and Exponential Distributions

Decision Making Under Uncertainty

Sampling and Sampling Distributions

Confidence Interval Estimation

Hypothesis Testing

Regression Analysis: Estimating Relationships

Regression Analysis: Statistical Inference

Time Series Analysis and Forecasting

Optimization Modeling: Applications

Introduction to Simulation Modeling

Simulation Models

Filters