Question 1

Having activities with decreasing marginal returns is the only way that the proportionality assumption can be violated.

Accepted Answer

A) True 
 B)False

Question 2

Which of the following techniques is appropriate when a nonlinear programming problem has multiple local optima?
I. Running Solver many times with different starting points.
II. Using the multistart feature to try different starting points.
III. Using Evolutionary Solver.

Accepted Answer

A)  I only 
B)  II only 
C)  III only 
D)  I, II, and III 
E)  II and III only 
A)  I only 
B)  II only 
C)  III only 
D)  I, II, and III 
E)  II and III only

Question 3

One reason that a manager may choose to use a nonlinear model to analyze a problem is

Accepted Answer

A)  Nonlinear models are easier to solve than linear models. 
B)  Nonlinear models may provide greater precision than linear models. 
C)  Nonlinear techniques such as Evolutionary Solver provide optimal results. 
D)  Nonlinear models are easier to understand than linear models. 
E)  Nonlinear models take less time to solve than linear models. 
A)  Nonlinear models are easier to solve than linear models. 
B)  Nonlinear models may provide greater precision than linear models. 
C)  Nonlinear techniques such as Evolutionary Solver provide optimal results. 
D)  Nonlinear models are easier to understand than linear models. 
E)  Nonlinear models take less time to solve than linear models.

Question 4

Which of the following is an example of a nonlinear function?

Accepted Answer

A)  Profit = 5x­1 + 7x2­ − 2x22 
B)  Profit = 8x1x2 − x12 − 4x22 
C)  Profit = x1 + 6x2 + 3x1x2 
D)  All of the choices are correct. 
E)  None of the choices is correct. 
A)  Profit = 5x­1 + 7x2­ − 2x22 
B)  Profit = 8x1x2 − x12 − 4x22 
C)  Profit = x1 + 6x2 + 3x1x2 
D)  All of the choices are correct. 
E)  None of the choices is correct.

Question 5

A quadratic programming problem is a special type of linear programming problem.

Accepted Answer

A) True 
 B)False

Question 6

The following chart shows a relationship between advertising expenditures and sales.   Which of the following describes the chart in terms of a linear relationship?

Accepted Answer

A)  The chart shows a linear relationship. 
B)  The chart shows decreasing marginal returns. 
C)  The chart shows a proportional relationship. 
D)  The chart shows increasing marginal returns. 
E)  The chart is piecewise linear. 
A)  The chart shows a linear relationship. 
B)  The chart shows decreasing marginal returns. 
C)  The chart shows a proportional relationship. 
D)  The chart shows increasing marginal returns. 
E)  The chart is piecewise linear.

Question 7

If a model uses IF or ROUND functions that incorporate the changing cells, then running the RSPE Analyze Model without Solving feature will typically say the model is of what type?

Accepted Answer

A)  Linear 
B)  NLP Convex 
C)  QP Convex 
D)  NSP 
E)  None of the choices is correct. 
A)  Linear 
B)  NLP Convex 
C)  QP Convex 
D)  NSP 
E)  None of the choices is correct.

Question 8

Sometimes Evolutionary Solver will make a random change in a member of the population.

Accepted Answer

A) True 
 B)False

Question 9

The following chart shows a relationship between advertising expenditures and sales.   
Which of the following describes the chart in terms of a linear relationship?

Accepted Answer

A)  The chart shows a linear relationship. 
B)  The chart shows decreasing marginal returns. 
C)  The chart shows a proportional relationship. 
D)  The chart shows discontinuities. 
E)  The chart is piecewise linear. 
A)  The chart shows a linear relationship. 
B)  The chart shows decreasing marginal returns. 
C)  The chart shows a proportional relationship. 
D)  The chart shows discontinuities. 
E)  The chart is piecewise linear.

Question 10

Which of the following are disadvantages of the Evolutionary Solver?
I. It does not deal well with complicated objective functions.
II. It does perform well on models with many constraints.
III. It is easily trapped at local optima.

Accepted Answer

A)  I only 
B)  II only 
C)  III only 
D)  I and II 
E)  None of these 
A)  I only 
B)  II only 
C)  III only 
D)  I and II 
E)  None of these

Question 11

A linear function may contain which of the following?
I. A term that contains a single variable with an exponent of 1.
II. A term that contains a single variable with an exponent of 2.
III. A term that is a constant times the product of two variables.

Accepted Answer

A)  I only 
B)  II only 
C)  III only 
D)  I, II, and III 
E)  II and III only 
A)  I only 
B)  II only 
C)  III only 
D)  I, II, and III 
E)  II and III only

Question 12

The multistart feature in Solver can be used for nonlinear programming problems to systematically try a number of different starting points.

Accepted Answer

A) True 
 B)False

Question 13

The requirement that each term in the objective function only contains a single variable is in a linear program is referred to as:

Accepted Answer

A)  the proportionality assumption. 
B)  the divisibility assumption. 
C)  the additivity assumption. 
D)  a nonlinear function. 
E)  None of the choices is correct. 
A)  the proportionality assumption. 
B)  the divisibility assumption. 
C)  the additivity assumption. 
D)  a nonlinear function. 
E)  None of the choices is correct.

Question 14

When applying nonlinear programming to portfolio selection, a trade-off is being made between the expected return and the risk associated with the investment.

Accepted Answer

A) True 
 B)False

Question 15

Nonlinear programming problems with decreasing marginal returns are generally easier to solve then nonlinear programming problems with increasing marginal returns.

Accepted Answer

A) True 
 B)False

Having activities with decreasing marginal returns is the only way that the proportionality assumption can be violated.

Which of the following techniques is appropriate when a nonlinear programming problem has multiple local optima? I. Running Solver many times with different starting points. II. Using the multistart feature to try different starting points. III. Using Evolutionary Solver.

One reason that a manager may choose to use a nonlinear model to analyze a problem is

Which of the following is an example of a nonlinear function?

A quadratic programming problem is a special type of linear programming problem.

The following chart shows a relationship between advertising expenditures and sales. Which of the following describes the chart in terms of a linear relationship?

If a model uses IF or ROUND functions that incorporate the changing cells, then running the RSPE Analyze Model without Solving feature will typically say the model is of what type?

Sometimes Evolutionary Solver will make a random change in a member of the population.

The following chart shows a relationship between advertising expenditures and sales. Which of the following describes the chart in terms of a linear relationship?

Which of the following are disadvantages of the Evolutionary Solver? I. It does not deal well with complicated objective functions. II. It does perform well on models with many constraints. III. It is easily trapped at local optima.

A linear function may contain which of the following? I. A term that contains a single variable with an exponent of 1. II. A term that contains a single variable with an exponent of 2. III. A term that is a constant times the product of two variables.

The multistart feature in Solver can be used for nonlinear programming problems to systematically try a number of different starting points.

The requirement that each term in the objective function only contains a single variable is in a linear program is referred to as:

When applying nonlinear programming to portfolio selection, a trade-off is being made between the expected return and the risk associated with the investment.

Nonlinear programming problems with decreasing marginal returns are generally easier to solve then nonlinear programming problems with increasing marginal returns.

Introduction

Linear Programming: Basic Concepts

Linear Programming: Formulation and Applications

The Art of Modeling With Spreadsheets

What-If Analysis for Linear Programming

Network Optimization Problems

Using Binary Integer Programming to Deal With Yes-Or-No Decisions

Decision Analysis

Forecasting

Queueing Models

Computer Simulation: Basic Concepts

Computer Simulation With Analytic Solver

Filters

Exam 8: Nonlinear Programming

Having activities with decreasing marginal returns is the only way that the proportionality assumption can be violated.

Which of the following techniques is appropriate when a nonlinear programming problem has multiple local optima? I. Running Solver many times with different starting points. II. Using the multistart feature to try different starting points. III. Using Evolutionary Solver.

One reason that a manager may choose to use a nonlinear model to analyze a problem is

Which of the following is an example of a nonlinear function?

A quadratic programming problem is a special type of linear programming problem.

The following chart shows a relationship between advertising expenditures and sales. Which of the following describes the chart in terms of a linear relationship?

If a model uses IF or ROUND functions that incorporate the changing cells, then running the RSPE Analyze Model without Solving feature will typically say the model is of what type?

Sometimes Evolutionary Solver will make a random change in a member of the population.

The following chart shows a relationship between advertising expenditures and sales. Which of the following describes the chart in terms of a linear relationship?

Which of the following are disadvantages of the Evolutionary Solver? I. It does not deal well with complicated objective functions. II. It does perform well on models with many constraints. III. It is easily trapped at local optima.

A linear function may contain which of the following? I. A term that contains a single variable with an exponent of 1. II. A term that contains a single variable with an exponent of 2. III. A term that is a constant times the product of two variables.

The multistart feature in Solver can be used for nonlinear programming problems to systematically try a number of different starting points.

The requirement that each term in the objective function only contains a single variable is in a linear program is referred to as:

When applying nonlinear programming to portfolio selection, a trade-off is being made between the expected return and the risk associated with the investment.

Nonlinear programming problems with decreasing marginal returns are generally easier to solve then nonlinear programming problems with increasing marginal returns.

Introduction

Linear Programming: Basic Concepts

Linear Programming: Formulation and Applications

The Art of Modeling With Spreadsheets

What-If Analysis for Linear Programming

Network Optimization Problems

Using Binary Integer Programming to Deal With Yes-Or-No Decisions

Decision Analysis

Forecasting

Queueing Models

Computer Simulation: Basic Concepts

Computer Simulation With Analytic Solver

Filters