Question 1

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.F) C) and D)
G) A) and E)

Question 2

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.F) A) and D)
G) B) and E)

Question 3

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 onlyF) B) and E)
G) A) and E)

Question 4

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

Accepted Answer

A) True 
 B)False

Question 5

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

Question 6

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

Accepted Answer

A) True 
 B)False

Question 7

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 onlyF) C) and E)
G) A) and D)

Question 8

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.F) None of the above
G) D) and E)

Question 9

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 10

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

Accepted Answer

A) True 
 B)False

Question 11

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.F) A) and B)
G) A) and E)

Question 12

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.F) None of the above
G) A) and D)

Question 13

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.F) B) and C)
G) A) and B)

Question 14

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 15

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 theseF) C) and D)
G) A) and B)

Exam 8: Nonlinear Programming

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.

Correct Answer
verified

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

Correct Answer
verified

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

Correct Answer
verified

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.

Correct Answer
verified

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?

Correct Answer
verified

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

Correct Answer
verified

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

Correct Answer
verified

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

Correct Answer
verified

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.

Correct Answer
verified

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

Correct Answer
verified

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

Correct Answer
verified

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

Correct Answer
verified

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

Correct Answer
verified

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

Correct Answer
verified

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

Correct Answer
verified

Exam 8: Nonlinear Programming

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.

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

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.

Correct AnswerverifiedShow Answer

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?

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

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.

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

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