Optimization Techniques: Understanding Linear and Nonlinear Programming, Quizzes of Introduction to Business Management

This document consists of a series of questions covering the fundamentals of optimization techniques, specifically linear and nonlinear programming. Topics include the difference between classic optimization and nonlinear programming, the use of calculus in optimization, and the concept of lagrange multipliers. Students will gain a solid understanding of optimization models and their applications.

Typology: Quizzes

Pre 2010

Uploaded on 12/10/2008

mkwon
mkwon 🇺🇸

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Question
1 1 out of 1 points
Which of the following is true?
Linear programming is referred to as classic optimization
Nonlinear programming is referred to as classic optimization
Classic optimization uses only matrix algebra to determine the optimal value of a
variable
>>Classic optimization uses calculus to determine the optimal value of a variable
Question 2 1 out of 1 points
Which of the following is false?
>>Constraints in a constrained nonlinear optimization model cannot be
linear
Unconstrained nonlinear optimization models involve a single objective
function and no constraints
Constrained nonlinear optimization models may involve linear and/or
nonlinear constraints
If one or more constraints are added to an unconstrained nonlinear model, it
becomes a constrianed nonlinear model
Question 3 1 out of 1 points
What is another name for constrained nonlinear models?
Classic nonlinear models
Nonlinear programming models
Complex optimization models
Calculus programming models
Question
4 1 out of 1 points
Which of the following is false?
- in a nonlinear programming prob the solution is always on the boundary of the feasible
region
Question 5 1 out of 1 points
How can we derive the Lagrange Multiplier from Excel Solver?
From the difference between the left-hand-side and the right-hand-side
of a constraint
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Question 1 1 out of 1 points Which of the following is true?

Linear programming is referred to as classic optimization

Nonlinear programming is referred to as classic optimization

Classic optimization uses only matrix algebra to determine the optimal value of a

variable

>>Classic optimization uses calculus to determine the optimal value of a variable

Question 2 (^) 1 out of 1 points Which of the following is false?

>>Constraints in a constrained nonlinear optimization model cannot be

linear

Unconstrained nonlinear optimization models involve a single objective

function and no constraints

Constrained nonlinear optimization models may involve linear and/or

nonlinear constraints

If one or more constraints are added to an unconstrained nonlinear model, it

becomes a constrianed nonlinear model

Question 3 (^) 1 out of 1 points What is another name for constrained nonlinear models?

Classic nonlinear models

Nonlinear programming models

Complex optimization models

Calculus programming models

Question 4 1 out of 1 points Which of the following is false?

  • in a nonlinear programming prob the solution is always on the boundary of the feasible region Question 5 (^) 1 out of 1 points How can we derive the Lagrange Multiplier from Excel Solver?

From the difference between the left-hand-side and the right-hand-side

of a constraint

From the objective function

From the sensitivity report

From the limits report

Question 6 1 out of 1 points What information does the Lagrange Multiplier reflect?

Change in the objective function value for a unit change in the right-hand-side

Question 7 1 out of 1 points Which of the following is NOT one of the example nonlinear problems included in Chapter 10?

Nonlinear transportation problem

Question 8 (^) 1 out of 1 points What are the decision variables in the Western Clothing Company Problem with multiple constraints? Price only Question 9 1 out of 1 points What are the two important factors in the Investment Portfolio Selection Problem? Return on investment and risk Question 10 1 out of 1 points Which of the following is not a component of the nonlinear programming model for the Investment Portfolio Selection Problem?

>>Profit from investments

Minimum desired annual return

Correlation between returns on investments

Expected annual returns on investments