Question 1

​What is degeneracy and what can be done in the simplex procedure to overcome the problem?

Accepted Answer

Degeneracy in the context of linear prog

Question 2

Determine from a review of the following tableau whether the linear programming problem has multiple optimal solutions.

Accepted Answer

Since non-basic variable s₃ has a relativ

Question 3

When a set of simultaneous equations has more variables than constraints,

Accepted Answer

A)  it is a basic set. 
B)  it is a feasible set. 
C)  there is a unique solution. 
D)  there are many solutions. 
A)  it is a basic set. 
B)  it is a feasible set. 
C)  there is a unique solution. 
D)  there are many solutions.

Question 4

Comment on the solution shown in this simplex tableau.

Accepted Answer

​
Initial

Question 5

Every extreme point of the graph of a two variable linear programming problem is a basic feasible solution.

Accepted Answer

A) True 
 B)False

Question 6

Unit columns are used to identify

Accepted Answer

A)  the tableau. 
B)  the c row. 
C)  the b column. 
D)  the basic variables. 
A)  the tableau. 
B)  the c row. 
C)  the b column. 
D)  the basic variables.

Question 7

We recognize infeasibility when one or more of the artificial variables do not remain in the solution at a positive value.

Accepted Answer

A) True 
 B)False

Question 8

At each iteration of the simplex procedure, a new variable becomes basic and a currently basic variable becomes nonbasic, preserving the same number of basic variables and improving the value of the objective function.

Accepted Answer

A) True 
 B)False

Question 9

Write the following problem in tableau form. Which variables would be in the initial basic solution?
Min Z
= −3x1 + x2 + x3
s.t.
x1 − 2x2 + x3 ≤ 11
−4 x1 + x2 + 2x3 ≥ 3
2x1 − x3 ≥ −1

Accepted Answer

Min Z = −3x₁ + x₂ + x₃ + Ma₁ + M

Question 10

A minimization problem with four decision variables, two greater-than-or-equal-to constraints, and one equality constraint will have

Accepted Answer

A)  2 surplus variables, 3 artificial variables, and 3 variables in the basis. 
B)  4 surplus variables, 2 artificial variables, and 4 variables in the basis. 
C)  3 surplus variables, 3 artificial variables, and 4 variables in the basis. 
D)  2 surplus variables, 2 artificial variables, and 3 variables in the basis. 
A)  2 surplus variables, 3 artificial variables, and 3 variables in the basis. 
B)  4 surplus variables, 2 artificial variables, and 4 variables in the basis. 
C)  3 surplus variables, 3 artificial variables, and 4 variables in the basis. 
D)  2 surplus variables, 2 artificial variables, and 3 variables in the basis.

Question 11

​List the steps to get a problem formulation to tableau form.

Accepted Answer

To get a problem formulation to tableau

What is degeneracy and what can be done in the simplex procedure to overcome the problem?

Determine from a review of the following tableau whether the linear programming problem has multiple optimal solutions.

When a set of simultaneous equations has more variables than constraints,

Comment on the solution shown in this simplex tableau.

Every extreme point of the graph of a two variable linear programming problem is a basic feasible solution.

Unit columns are used to identify

We recognize infeasibility when one or more of the artificial variables do not remain in the solution at a positive value.

At each iteration of the simplex procedure, a new variable becomes basic and a currently basic variable becomes nonbasic, preserving the same number of basic variables and improving the value of the objective function.

Write the following problem in tableau form. Which variables would be in the initial basic solution? Min Z = −3x₁ + x₂ + x₃ s.t. x₁ − 2x₂ + x₃ ≤ 11 −4 x₁ + x₂ + 2x₃ ≥ 3 2x₁ − x₃ ≥ −1

A minimization problem with four decision variables, two greater-than-or-equal-to constraints, and one equality constraint will have

List the steps to get a problem formulation to tableau form.

Introduction

An Introduction to Linear Programming

Linear Programming: Sensitivity Analysis and Interpretation of Solution

Linear Programming Applications in Marketing, Finance, and Operations Management

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

Simplex-Based Sensitivity Analysis and Duality

Solution Procedures for Transportation and Assignment Problems

Minimal Spanning Tree

Dynamic Programming

Filters

Exam 17: Linear Programming: Simplex Method

​What is degeneracy and what can be done in the simplex procedure to overcome the problem?

Determine from a review of the following tableau whether the linear programming problem has multiple optimal solutions.

When a set of simultaneous equations has more variables than constraints,

Comment on the solution shown in this simplex tableau.

Every extreme point of the graph of a two variable linear programming problem is a basic feasible solution.

Unit columns are used to identify

We recognize infeasibility when one or more of the artificial variables do not remain in the solution at a positive value.

At each iteration of the simplex procedure, a new variable becomes basic and a currently basic variable becomes nonbasic, preserving the same number of basic variables and improving the value of the objective function.

Write the following problem in tableau form. Which variables would be in the initial basic solution? Min Z = −3x1 + x2 + x3 s.t. x1 − 2x2 + x3 ≤ 11 −4 x1 + x2 + 2x3 ≥ 3 2x1 − x3 ≥ −1

A minimization problem with four decision variables, two greater-than-or-equal-to constraints, and one equality constraint will have

​List the steps to get a problem formulation to tableau form.

Introduction

An Introduction to Linear Programming

Linear Programming: Sensitivity Analysis and Interpretation of Solution

Linear Programming Applications in Marketing, Finance, and Operations Management

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

Simplex-Based Sensitivity Analysis and Duality

Solution Procedures for Transportation and Assignment Problems

Minimal Spanning Tree

Dynamic Programming

Filters

What is degeneracy and what can be done in the simplex procedure to overcome the problem?

Write the following problem in tableau form. Which variables would be in the initial basic solution? Min Z = −3x₁ + x₂ + x₃ s.t. x₁ − 2x₂ + x₃ ≤ 11 −4 x₁ + x₂ + 2x₃ ≥ 3 2x₁ − x₃ ≥ −1

List the steps to get a problem formulation to tableau form.