Question 1

Write the following problem in tableau form.Which variables would be in the initial basic solution?

Accepted Answer

​ @#IMG-DLM& ​ The i

Question 2

What type of solution is shown in this simplex tableau?

Accepted Answer

The tablea

Question 3

Which of the following is NOT a step that is necessary to prepare a linear programming problem for solution using the simplex method?

Accepted Answer

A) Formulate the problem. 
B) Set up the standard form by adding slack and/or subtracting surplus variables. 
C) Perform elementary row and column operations. 
D) Set up the tableau form. 
A) Formulate the problem. 
B) Set up the standard form by adding slack and/or subtracting surplus variables. 
C) Perform elementary row and column operations. 
D) Set up the tableau form.

Question 4

The values in the cj − zj ,or net evaluation,row indicate the

Accepted Answer

A) value of the objective function. 
B) decrease in value of the objective function that will result if one unit of the variable corresponding to the jth column of the A matrix is brought into the basis. 
C) net change in the value of the objective function that will result if one unit of the variable corresponding to the jth column of the A matrix is brought into the basis. 
D) values of the decision variables. 
A) value of the objective function. 
B) decrease in value of the objective function that will result if one unit of the variable corresponding to the jth column of the A matrix is brought into the basis. 
C) net change in the value of the objective function that will result if one unit of the variable corresponding to the jth column of the A matrix is brought into the basis. 
D) values of the decision variables.

Question 5

In the simplex method,a tableau is optimal only if all the cj − zj values are

Accepted Answer

A) zero or negative. 
B) zero. 
C) negative and nonzero. 
D) positive and nonzero. 
A) zero or negative. 
B) zero. 
C) negative and nonzero. 
D) positive and nonzero.

Question 6

Joe Forrester,an operations analyst for a manufacturing company,developed the following LP formulation.From it,create an initial simplex tableau.​
Max 40xl + 30x2 + 50x3
s.t.2xl + 3x2 + 4x3 1 + 2x2 + 2x3 l + x2 + 5x3 < 500

Accepted Answer

Question 7

Unit columns are used to identify the

Accepted Answer

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

Question 8

Jackie Quinn developed the following LP formulation for a problem she is working on and now needs to create an initial simplex tableau.Create the initial simplex tableau.​
Min 75xl + 45x2
s.t.3xl + 2x2 > 10
xl + 6x2 > 15
​

Accepted Answer

Question 9

A simplex tableau is shown below.   ​ 
a.What is the current complete solution?
b.The 32/5 for z1 is composed of 0 + 8(4/5)+ 0.Explain the meaning of this number.
c.Explain the meaning of the −12/5 value for c 2 − z2.

Accepted Answer

Question 10

Solve the following problem by the simplex method.

Accepted Answer

The answer of Solve the following problem by the simplex...

Question 11

The variable to remove from the current basis is the variable with the smallest positive cj − zj value.

Accepted Answer

A) True 
 B)False

Question 12

The simplex method is an iterative procedure for moving from one basic feasible solution (an extreme point)to another until the optimal solution is reached.

Accepted Answer

A) True 
 B)False

Question 13

A basic feasible solution is a basic solution that

Accepted Answer

A) also satisfies the nonnegativity conditions. 
B) contains 0 variables. 
C) corresponds to no extreme points. 
D) None of these are correct. 
A) also satisfies the nonnegativity conditions. 
B) contains 0 variables. 
C) corresponds to no extreme points. 
D) None of these are correct.

Question 14

A simplex tableau is shown below.   ​ 
a.Perform one more iteration of the simplex procedure.
b.What is the current complete solution?
c.Is this solution optimal? Why or why not?

Accepted Answer

The answer of A simplex tableau is shown below. ...

Question 15

An alternative optimal solution is indicated when,in the simplex tableau,a

Accepted Answer

A) nonbasic variable has a value of zero in the cj − zj row. 
B) basic variable has a positive value in the cj − zj row. 
C) basic variable has a value of zero in the cj − zj row. 
D) nonbasic variable has a positive value in the cj − zj row. 
A) nonbasic variable has a value of zero in the cj − zj row. 
B) basic variable has a positive value in the cj − zj row. 
C) basic variable has a value of zero in the cj − zj row. 
D) nonbasic variable has a positive value in the cj − zj row.

Question 16

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

Accepted Answer

Since nonbasic variable s₃ has a relative

Question 17

Solve the following problem by the simplex method.

Accepted Answer

The answer of Solve the following problem by the simplex...

Question 18

An operations research analyst for a communications company has the following LP problem and wants to solve it using the simplex method.​
Max 50x1 + 20x2
s.t.2x1 + x2 1 + x2 l + 2x2 < 275

Accepted Answer

​ Initial tableau ​ @#IMG-DLM& ​ Second tableau ​

Question 19

Identify the type of solution shown in this simplex tableau.   ​

Accepted Answer

The tablea

Question 20

Coefficients in a nonbasic column in a simplex tableau indicate the amount of decrease in the current basic variables when the value of the nonbasic variable is increased from 0 to 1.

Accepted Answer

A) True 
 B)False

Exam 17: Linear Programming: Simplex Method

Write the following problem in tableau form.Which variables would be in the initial basic solution?

What type of solution is shown in this simplex tableau?

Which of the following is NOT a step that is necessary to prepare a linear programming problem for solution using the simplex method?

The values in the cj − zj ,or net evaluation,row indicate the

In the simplex method,a tableau is optimal only if all the cj − zj values are

Joe Forrester,an operations analyst for a manufacturing company,developed the following LP formulation.From it,create an initial simplex tableau.​ Max 40xl + 30x2 + 50x3 s.t.2xl + 3x2 + 4x3 < 200 x1 + 2x2 + 2x3 < 300 3xl + x2 + 5x3 < 500

Unit columns are used to identify the

Jackie Quinn developed the following LP formulation for a problem she is working on and now needs to create an initial simplex tableau.Create the initial simplex tableau.​ Min 75xl + 45x2 s.t.3xl + 2x2 > 10 xl + 6x2 > 15 ​

A simplex tableau is shown below. ​ a.What is the current complete solution? b.The 32/5 for z1 is composed of 0 + 8(4/5)+ 0.Explain the meaning of this number. c.Explain the meaning of the −12/5 value for c 2 − z2.

Solve the following problem by the simplex method.

The variable to remove from the current basis is the variable with the smallest positive cj − zj value.

The simplex method is an iterative procedure for moving from one basic feasible solution (an extreme point)to another until the optimal solution is reached.

A basic feasible solution is a basic solution that

A simplex tableau is shown below. ​ a.Perform one more iteration of the simplex procedure. b.What is the current complete solution? c.Is this solution optimal? Why or why not?

An alternative optimal solution is indicated when,in the simplex tableau,a

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

Solve the following problem by the simplex method.

An operations research analyst for a communications company has the following LP problem and wants to solve it using the simplex method.​ Max 50x1 + 20x2 s.t.2x1 + x2 < 200 x1 + x2 < 350 xl + 2x2 < 275

Identify the type of solution shown in this simplex tableau. ​

Coefficients in a nonbasic column in a simplex tableau indicate the amount of decrease in the current basic variables when the value of the nonbasic variable is increased from 0 to 1.

Introduction

An Introduction to Linear Programming

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

Simplex-Based Sensitivity Analysis and Duality

Solution Procedures for Transportation and Assignment Problems

Minimal Spanning Tree

Dynamic Programming

Filters

The values in the c_j − z_j ,or net evaluation,row indicate the

In the simplex method,a tableau is optimal only if all the c_j − z_j values are

Joe Forrester,an operations analyst for a manufacturing company,developed the following LP formulation.From it,create an initial simplex tableau. Max 40x_l + 30x₂ + 50x₃ s.t.2x_l + 3x₂ + 4x₃ < 200 x₁ + 2x₂ + 2x₃ < 300 3x_l + x₂ + 5x₃ < 500

Jackie Quinn developed the following LP formulation for a problem she is working on and now needs to create an initial simplex tableau.Create the initial simplex tableau. Min 75x_l + 45x₂ s.t.3x_l + 2x₂ > 10 x_l + 6x₂ > 15

A simplex tableau is shown below. a.What is the current complete solution? b.The 32/5 for z₁ is composed of 0 + 8(4/5)+ 0.Explain the meaning of this number. c.Explain the meaning of the −12/5 value for c ₂ − z₂.

The variable to remove from the current basis is the variable with the smallest positive c_j − z_j value.

A simplex tableau is shown below. a.Perform one more iteration of the simplex procedure. b.What is the current complete solution? c.Is this solution optimal? Why or why not?

An operations research analyst for a communications company has the following LP problem and wants to solve it using the simplex method. Max 50x₁ + 20x₂ s.t.2x₁ + x₂ < 200 x₁ + x₂ < 350 x_l + 2x₂ < 275

Identify the type of solution shown in this simplex tableau.