Question 1

In reviewing the image below, which of the following functions is most likely to yield the above shape? ​   ​

Accepted Answer

A) f(X, Y) = X2 + Y2 
B) f(X, Y) = -X - Y 
C) f(X, Y) = -X2 - Y2 
D) f(X, Y) = Xsin(5πX) + Ysin(5πY) 
A) f(X, Y) = X2 + Y2 
B) f(X, Y) = -X - Y 
C) f(X, Y) = -X2 - Y2 
D) f(X, Y) = Xsin(5πX) + Ysin(5πY) C

Question 2

Excel Solver's __________ is based on a method that searches for an optimal solution by iteratively adjusting a population of candidate solutions.

Accepted Answer

A) Evolutionary Solver 
B) Goal Seeker 
C) Simplex LP 
D) GRG Nonlinear 
A) Evolutionary Solver 
B) Goal Seeker 
C) Simplex LP 
D) GRG Nonlinear A

Question 3

Which of the following is a second way of formulating the Markowitz model?

Accepted Answer

A) Maximize the expected return of the portfolio subject to a constraint on variance. 
B) Minimize the expected return of the portfolio subject to a constraint on variance. 
C) Maximize the variance of the portfolio subject to a constraint on the expected return of the portfolio. 
D) Maximize the variance of the portfolio with no constraint needed for the expected return of the portfolio. 
A) Maximize the expected return of the portfolio subject to a constraint on variance. 
B) Minimize the expected return of the portfolio subject to a constraint on variance. 
C) Maximize the variance of the portfolio subject to a constraint on the expected return of the portfolio. 
D) Maximize the variance of the portfolio with no constraint needed for the expected return of the portfolio. A

Question 4

The __________ of a solution is a mathematical concept that refers to the set of points within a relatively close proximity of the solution.

Accepted Answer

A) objective function contour 
B) neighborhood 
C) regression equation 
D) Lagrangian multiplier 
A) objective function contour 
B) neighborhood 
C) regression equation 
D) Lagrangian multiplier

Question 5

If there are no other feasible points with a larger objective function value in the entire feasible region, a feasible solution is

Accepted Answer

A) an efficient frontier. 
B) a global maximum. 
C) not a local maximum. 
D) a global minimum. 
A) an efficient frontier. 
B) a global maximum. 
C) not a local maximum. 
D) a global minimum.

Question 6

If the portfolio variance were equal to zero, the amount of risk would be

Accepted Answer

A) unity. 
B) a positive number greater than 1. 
C) negative always. 
D) zero. 
A) unity. 
B) a positive number greater than 1. 
C) negative always. 
D) zero.

Question 7

In a nonlinear problem, the rate of change of the objective function with respect to the right-hand side of a constraint is given by the

Accepted Answer

A) slope of the contour line. 
B) local optimum. 
C) reduced gradient. 
D) Lagrangian multiplier. 
A) slope of the contour line. 
B) local optimum. 
C) reduced gradient. 
D) Lagrangian multiplier.

Question 8

The __________ option in Excel Solver is helpful when the solution to a problem appears to depend on the starting values for the decision variables.

Accepted Answer

A) restart 
B) convergence 
C) derivatives 
D) multistart 
A) restart 
B) convergence 
C) derivatives 
D) multistart

Question 9

A feasible solution is __________ if there are no other feasible points with a better objective function value in the entire feasible region.

Accepted Answer

A) infeasible 
B) unbounded 
C) nonlinear 
D) a global optimum 
A) infeasible 
B) unbounded 
C) nonlinear 
D) a global optimum

Question 10

In a nonlinear optimization problem

Accepted Answer

A) the objective function is a nonlinear function of the constraints. 
B) all the constraints are nonlinear only when the objective is to maximize the function of the decision variables. 
C) at least one term in the objective function or a constraint is nonlinear. 
D) both the objective function and the constraints must have all nonlinear terms. 
A) the objective function is a nonlinear function of the constraints. 
B) all the constraints are nonlinear only when the objective is to maximize the function of the decision variables. 
C) at least one term in the objective function or a constraint is nonlinear. 
D) both the objective function and the constraints must have all nonlinear terms.

Question 11

The __________ forecasting model uses nonlinear optimization to forecast the adoption of innovative and new technologies in the marketplace.

Accepted Answer

A) Hauck 
B) LMS 
C) Markowitz 
D) Bass 
A) Hauck 
B) LMS 
C) Markowitz 
D) Bass

Question 12

In the Bass forecasting model, parameter m

Accepted Answer

A) measures the likelihood of adoption due to a potential adopter being influenced by someone who has already adopted the product. 
B) measures the likelihood of adoption, assuming no influence from someone who has already adopted the product. 
C) refers to the number of people estimated to eventually adopt the new product. 
D) refers to the number of people who have already adopted the new product. 
A) measures the likelihood of adoption due to a potential adopter being influenced by someone who has already adopted the product. 
B) measures the likelihood of adoption, assuming no influence from someone who has already adopted the product. 
C) refers to the number of people estimated to eventually adopt the new product. 
D) refers to the number of people who have already adopted the new product.

Question 13

If there are no other feasible solutions with a larger objective function value in the immediate neighborhood, then the feasible solution is known as

Accepted Answer

A) a global maximum. 
B) infeasible. 
C) a nonlinear solution. 
D) a local maximum. 
A) a global maximum. 
B) infeasible. 
C) a nonlinear solution. 
D) a local maximum.

Question 14

Using the graph below, which of the following is true of its function?   ​

Accepted Answer

A) It has single local minimum. 
B) It has multiple local optima. 
C) It has single local maximum. 
D) It has no maxima and minima. 
A) It has single local minimum. 
B) It has multiple local optima. 
C) It has single local maximum. 
D) It has no maxima and minima.

Question 15

A function that is bowl-shaped up is called a(n) _________ function.

Accepted Answer

A) concave 
B) optimal 
C) convex 
D) elliptical 
A) concave 
B) optimal 
C) convex 
D) elliptical

Question 16

Is a location optimization problem an example of a maximization or a minimization problem? Explain.

Accepted Answer

In a location problem, the goa

Question 17

A __________ is the shadow price of a binding simple lower or upper bound on the decision variable.

Accepted Answer

A) reduced gradient 
B) binding constraint 
C) binary variable 
D) local optimum 
A) reduced gradient 
B) binding constraint 
C) binary variable 
D) local optimum

Question 18

Using the graph given below, which of the following equations represents the function shown in the graph?

Accepted Answer

A) f(X, Y) = Xlog(2πY) + Ylog(2πX) 
B) f(X, Y) = X - Y 
C) f(X, Y) = -X2 - Y2 
D) f(X, Y) = Xsin(5πX) + Ysin(5πY) 
A) f(X, Y) = Xlog(2πY) + Ylog(2πX) 
B) f(X, Y) = X - Y 
C) f(X, Y) = -X2 - Y2 
D) f(X, Y) = Xsin(5πX) + Ysin(5πY)

Question 19

In the Bass forecasting model, the __________ measures the likelihood of adoption due to a potential adopter being influenced by someone who has already adopted the product.

Accepted Answer

A) coefficient of innovation 
B) coefficient of imitation 
C) coefficient of regression 
D) coefficient of the objective function 
A) coefficient of innovation 
B) coefficient of imitation 
C) coefficient of regression 
D) coefficient of the objective function

Question 20

If an optimization objective function produces a graph that is convex, how many local minimum solutions are possible? Explain.

Accepted Answer

If an optimization objective function pr

In reviewing the image below, which of the following functions is most likely to yield the above shape?

Excel Solver's __________ is based on a method that searches for an optimal solution by iteratively adjusting a population of candidate solutions.

Which of the following is a second way of formulating the Markowitz model?

The __________ of a solution is a mathematical concept that refers to the set of points within a relatively close proximity of the solution.

If there are no other feasible points with a larger objective function value in the entire feasible region, a feasible solution is

If the portfolio variance were equal to zero, the amount of risk would be

In a nonlinear problem, the rate of change of the objective function with respect to the right-hand side of a constraint is given by the

The __________ option in Excel Solver is helpful when the solution to a problem appears to depend on the starting values for the decision variables.

A feasible solution is __________ if there are no other feasible points with a better objective function value in the entire feasible region.

In a nonlinear optimization problem

The __________ forecasting model uses nonlinear optimization to forecast the adoption of innovative and new technologies in the marketplace.

In the Bass forecasting model, parameter m

If there are no other feasible solutions with a larger objective function value in the immediate neighborhood, then the feasible solution is known as

Using the graph below, which of the following is true of its function?

A function that is bowl-shaped up is called a(n) _________ function.

Is a location optimization problem an example of a maximization or a minimization problem? Explain.

A __________ is the shadow price of a binding simple lower or upper bound on the decision variable.

Using the graph given below, which of the following equations represents the function shown in the graph?

In the Bass forecasting model, the __________ measures the likelihood of adoption due to a potential adopter being influenced by someone who has already adopted the product.

If an optimization objective function produces a graph that is convex, how many local minimum solutions are possible? Explain.

Introduction

Descriptive Statistics

Data Visualization

Descriptive Data Mining

Probability: an Introduction to Modeling Uncertainty

Statistical Inference

Linear Regression

Time Series Analysis and Forecasting

Predictive Data Mining

Spreadsheet Models

Monte Carlo Simulation

Linear Optimization Models

Integer Linear Optimization Models

Decision Analysis

Filters

Exam 14: Nonlinear Optimization Models

In reviewing the image below, which of the following functions is most likely to yield the above shape? ​ ​

Excel Solver's __________ is based on a method that searches for an optimal solution by iteratively adjusting a population of candidate solutions.

Which of the following is a second way of formulating the Markowitz model?

The __________ of a solution is a mathematical concept that refers to the set of points within a relatively close proximity of the solution.

If there are no other feasible points with a larger objective function value in the entire feasible region, a feasible solution is

If the portfolio variance were equal to zero, the amount of risk would be

In a nonlinear problem, the rate of change of the objective function with respect to the right-hand side of a constraint is given by the

The __________ option in Excel Solver is helpful when the solution to a problem appears to depend on the starting values for the decision variables.

A feasible solution is __________ if there are no other feasible points with a better objective function value in the entire feasible region.

In a nonlinear optimization problem

The __________ forecasting model uses nonlinear optimization to forecast the adoption of innovative and new technologies in the marketplace.

In the Bass forecasting model, parameter m

If there are no other feasible solutions with a larger objective function value in the immediate neighborhood, then the feasible solution is known as

Using the graph below, which of the following is true of its function? ​

A function that is bowl-shaped up is called a(n) _________ function.

Is a location optimization problem an example of a maximization or a minimization problem? Explain.

A __________ is the shadow price of a binding simple lower or upper bound on the decision variable.

Using the graph given below, which of the following equations represents the function shown in the graph?

In the Bass forecasting model, the __________ measures the likelihood of adoption due to a potential adopter being influenced by someone who has already adopted the product.

If an optimization objective function produces a graph that is convex, how many local minimum solutions are possible? Explain.

Introduction

Descriptive Statistics

Data Visualization

Descriptive Data Mining

Probability: an Introduction to Modeling Uncertainty

Statistical Inference

Linear Regression

Time Series Analysis and Forecasting

Predictive Data Mining

Spreadsheet Models

Monte Carlo Simulation

Linear Optimization Models

Integer Linear Optimization Models

Decision Analysis

Filters

In reviewing the image below, which of the following functions is most likely to yield the above shape?

Using the graph below, which of the following is true of its function?