Question 1

All of the following statements about a redundant constraint are correct EXCEPT

Accepted Answer

A) a redundant constraint does not affect the optimal solution. 
B) a redundant constraint does not affect the feasible region. 
C) recognizing a redundant constraint is easy with the graphical solution method. 
D) at the optimal solution,a redundant constraint will have zero slack. 
A) a redundant constraint does not affect the optimal solution. 
B) a redundant constraint does not affect the feasible region. 
C) recognizing a redundant constraint is easy with the graphical solution method. 
D) at the optimal solution,a redundant constraint will have zero slack.

Question 2

The maximization or minimization of a desired quantity is the

Accepted Answer

A) goal of management science. 
B) decision for decision analysis. 
C) constraint of operations research. 
D) objective of linear programming. 
A) goal of management science. 
B) decision for decision analysis. 
C) constraint of operations research. 
D) objective of linear programming.

Question 3

To find the optimal solution to a linear programming problem using the graphical method,

Accepted Answer

A) find the feasible point that is the farthest away from the origin. 
B) find the feasible point that is at the highest location. 
C) find the feasible point that is closest to the origin. 
D) None of these are correct. 
A) find the feasible point that is the farthest away from the origin. 
B) find the feasible point that is at the highest location. 
C) find the feasible point that is closest to the origin. 
D) None of these are correct.

Question 4

A businessman is considering opening a small specialized trucking firm.To make the firm profitable,it must have a daily trucking capacity of at least 84,000 cubic feet.Two types of trucks are appropriate for the specialized operation.Their characteristics and costs are summarized in the table below.Note that truck two requires three drivers for long haul trips.There are 41 potential drivers available,and there are facilities for at most 40 trucks.The businessman's objective is to minimize the total cost outlay for trucks.   ​
Solve the problem graphically and note that there are alternative optimal solutions. 
a.Which optimal solution uses only one type of truck?
b.Which optimal solution utilizes the minimum total number of trucks?
c.Which optimal solution uses the same number of small and large trucks?

Accepted Answer

The answer of A businessman is considering opening a small...

Question 5

An unbounded feasible region might not result in an unbounded solution for a minimization or maximization problem.

Accepted Answer

A) True 
 B)False

Question 6

An optimal solution to a linear programming problem can be found at an extreme point of the feasible region for the problem.

Accepted Answer

A) True 
 B)False

Question 7

Because surplus variables represent the amount by which the solution exceeds a minimum target,they are given positive coefficients in the objective function.

Accepted Answer

A) True 
 B)False

Question 8

If a constraint is redundant,it can be removed from the problem without affecting the feasible region.

Accepted Answer

A) True 
 B)False

Question 9

Find the complete optimal solution to this linear programming problem.

Accepted Answer

​ @#IMG-DLM& The complete opti

Question 10

Decision variables

Accepted Answer

A) are values that are used to determine how much or how many of something to produce,invest,etc. 
B) represent the values of the constraints. 
C) are values that measure the objective function. 
D) must be unique for each constraint. 
A) are values that are used to determine how much or how many of something to produce,invest,etc. 
B) represent the values of the constraints. 
C) are values that measure the objective function. 
D) must be unique for each constraint.

Question 11

Find the complete optimal solution to this linear programming problem.

Accepted Answer

​ @#IMG-DLM& The complete opti

Question 12

An infeasible problem is one in which the objective function can be increased to infinity.

Accepted Answer

A) True 
 B)False

Question 13

The amount by which the left side of a less-than-or-equal-to constraint is smaller than the right side

Accepted Answer

A) is known as a surplus. 
B) is known as slack. 
C) is optimized for the linear programming problem. 
D) exists for each variable in a linear programming problem. 
A) is known as a surplus. 
B) is known as slack. 
C) is optimized for the linear programming problem. 
D) exists for each variable in a linear programming problem.

Question 14

For the following linear programming problem,determine the optimal solution using the graphical solution method.

Accepted Answer

X = 0.6 an

Question 15

It is not possible to have more than one optimal solution to a linear programming problem.

Accepted Answer

A) True 
 B)False

Question 16

Which of the following statements is NOT true?

Accepted Answer

A) A feasible solution satisfies all constraints. 
B) An optimal solution satisfies all constraints. 
C) An infeasible solution violates all constraints. 
D) A feasible solution point does not have to lie on the boundary of the feasible region. 
A) A feasible solution satisfies all constraints. 
B) An optimal solution satisfies all constraints. 
C) An infeasible solution violates all constraints. 
D) A feasible solution point does not have to lie on the boundary of the feasible region.

Question 17

Solve the following system of simultaneous equations.6X + 2Y = 50
2X + 4Y = 20

Accepted Answer

The answer of Solve the following system of simultaneous equations.6X...

Question 18

Alternative optimal solutions occur when there is no feasible solution to the problem.

Accepted Answer

A) True 
 B)False

Question 19

If there is a maximum of 4,000 hours of labor available per month and 300 ping-pong balls (x1)or 125 wiffle balls (x2)can be produced per hour of labor,which of the following constraints reflects this situation?

Accepted Answer

A) 300x1 + 125x2 > 4,000 
B) 300x1 + 125x2 1 + x2)1 + 125x2 = 4,000 
A) 300x1 + 125x2 > 4,000 
B) 300x1 + 125x2 1 + x2)1 + 125x2 = 4,000

Question 20

A redundant constraint cannot be removed from the problem without affecting the feasible region.

Accepted Answer

A) True 
 B)False

All of the following statements about a redundant constraint are correct EXCEPT

The maximization or minimization of a desired quantity is the

To find the optimal solution to a linear programming problem using the graphical method,

An unbounded feasible region might not result in an unbounded solution for a minimization or maximization problem.

An optimal solution to a linear programming problem can be found at an extreme point of the feasible region for the problem.

Because surplus variables represent the amount by which the solution exceeds a minimum target,they are given positive coefficients in the objective function.

If a constraint is redundant,it can be removed from the problem without affecting the feasible region.

Find the complete optimal solution to this linear programming problem.

Decision variables

Find the complete optimal solution to this linear programming problem.

An infeasible problem is one in which the objective function can be increased to infinity.

The amount by which the left side of a less-than-or-equal-to constraint is smaller than the right side

For the following linear programming problem,determine the optimal solution using the graphical solution method.

It is not possible to have more than one optimal solution to a linear programming problem.

Which of the following statements is NOT true?

Solve the following system of simultaneous equations.6X + 2Y = 50 2X + 4Y = 20

Alternative optimal solutions occur when there is no feasible solution to the problem.

If there is a maximum of 4,000 hours of labor available per month and 300 ping-pong balls (x₁)or 125 wiffle balls (x₂)can be produced per hour of labor,which of the following constraints reflects this situation?

A redundant constraint cannot be removed from the problem without affecting the feasible region.

Introduction

Linear Programming: Sensitivity Analysis and Interpretation of Solution

Linear Programming Applications in Marketing, finance, and OM

Advanced Linear Programming Applications

Distribution and Network Models

Integer Linear Programming

Nonlinear Optimization Models

Project Scheduling: Pertcpm

Inventory Models

Waiting Line Models

Simulation

Decision Analysis

Multicriteria Decisions

Time Series Analysis and Forecasting

Markov Processes

Linear Programming: Simplex Method

Simplex-Based Sensitivity Analysis and Duality

Solution Procedures for Transportation and Assignment Problems

Minimal Spanning Tree

Dynamic Programming

Filters

Exam 2: An Introduction to Linear Programming

All of the following statements about a redundant constraint are correct EXCEPT

The maximization or minimization of a desired quantity is the

To find the optimal solution to a linear programming problem using the graphical method,

An unbounded feasible region might not result in an unbounded solution for a minimization or maximization problem.

An optimal solution to a linear programming problem can be found at an extreme point of the feasible region for the problem.

Because surplus variables represent the amount by which the solution exceeds a minimum target,they are given positive coefficients in the objective function.

If a constraint is redundant,it can be removed from the problem without affecting the feasible region.

Find the complete optimal solution to this linear programming problem.

Decision variables

Find the complete optimal solution to this linear programming problem.

An infeasible problem is one in which the objective function can be increased to infinity.

The amount by which the left side of a less-than-or-equal-to constraint is smaller than the right side

For the following linear programming problem,determine the optimal solution using the graphical solution method.

It is not possible to have more than one optimal solution to a linear programming problem.

Which of the following statements is NOT true?

Solve the following system of simultaneous equations.6X + 2Y = 50 2X + 4Y = 20

Alternative optimal solutions occur when there is no feasible solution to the problem.

If there is a maximum of 4,000 hours of labor available per month and 300 ping-pong balls (x1)or 125 wiffle balls (x2)can be produced per hour of labor,which of the following constraints reflects this situation?

A redundant constraint cannot be removed from the problem without affecting the feasible region.

Introduction

Linear Programming: Sensitivity Analysis and Interpretation of Solution

Linear Programming Applications in Marketing, finance, and OM

Advanced Linear Programming Applications

Distribution and Network Models

Integer Linear Programming

Nonlinear Optimization Models

Project Scheduling: Pertcpm

Inventory Models

Waiting Line Models

Simulation

Decision Analysis

Multicriteria Decisions

Time Series Analysis and Forecasting

Markov Processes

Linear Programming: Simplex Method

Simplex-Based Sensitivity Analysis and Duality

Solution Procedures for Transportation and Assignment Problems

Minimal Spanning Tree

Dynamic Programming

Filters

If there is a maximum of 4,000 hours of labor available per month and 300 ping-pong balls (x₁)or 125 wiffle balls (x₂)can be produced per hour of labor,which of the following constraints reflects this situation?