A simplex table 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.

a.x 1 = 0, x 2 = 0, x 3 = 8, s 1 = 4, s 2 = 0, s 3 =

Exam 17: Linear Programming: Simplex Method

Given the following initial simplex tableau a.What variables form the basis? b.What are the current values of the decision variables? c.What is the current value of the objective function? d.Which variable will be made positive next, and what will its value be?Which variable that is currently positive will become 0? f.What value will the objective function have next?

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Question 1

Correct Answer:

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a.s₁, s₂ , s₃
B.x₁ = 0, x₂ = 0, x₃ = 0, s₁ = 80, s₂ = 250, s₃ = 20
C.0
D.x₃, 10
E.s₃
F.z = 120

The purpose of the tableau form is to provide

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Question 2

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If a variable is not in the basis, its value is 0.

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Question 3

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True

A simplex table 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.

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Question 4

Comment on the solution shown in this simplex tableau.

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Question 5

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.

(True/False)

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Question 6

The purpose of row operations is to create a unit column for the entering variable while maintaining unit columns for the remaining basic variables.

(True/False)

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Question 7

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

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Question 8

To determine a basic solution set of n−m, the variables equal to zero and solve the m linear constraint equations for the remaining m variables.

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Question 9

The basic solution to a problem with three equations and four variables would assign a value of 0 to

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Question 10

Algebraic methods such as the simplex method are used to solve

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Question 11

What is an artificial variable? Why is it necessary?

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Question 12

A solution is optimal when all values in the c_j − z_j row of the simplex tableau are either zero or positive.

(True/False)

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Question 13

For each of the special cases of infeasibility, unboundedness, and alternate optimal solutions, tell what you would do next with your linear programming model if the case occurred.

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Question 14

When there is a tie between two or more variables for removal from the simplex tableau,

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Question 15

In a simplex tableau, there is a variable associated with each column and both a constraint and a basic variable associated with each row.

(True/False)

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Question 16

Solve the following problem by the simplex method. Max 14x₁ + 14.5x₂ + 18x₃ s.t. x₁ + 2x₂ + 2.5x₃ ≤ 50 x₁ + x₂ + 1.5x₃ ≤ 30 x₁ , x₂ , x₃ ≥ 0

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Question 17

A basic solution and a basic feasible solution

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Question 18

Write the following problem in tableau form. Which variables would be in the initial basic solution? Min Z = 3x₁ + 8x₂ s.t. x₁ + x₂ ≤ 200 x₁ ≤ 80 x₂ ≤ 60

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Question 19

A student in a Management Science class developed this initial tableau for a maximization problem and now wants to perform row operations to obtain the next tableau and check for an optimal solution.

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Question 20

Showing 1 - 20 of 51

The purpose of the tableau form is to provide

If a variable is not in the basis, its value is 0.

A simplex table 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.

Comment on the 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.

The purpose of row operations is to create a unit column for the entering variable while maintaining unit columns for the remaining basic variables.

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

To determine a basic solution set of n−m, the variables equal to zero and solve the m linear constraint equations for the remaining m variables.

The basic solution to a problem with three equations and four variables would assign a value of 0 to

Algebraic methods such as the simplex method are used to solve

What is an artificial variable? Why is it necessary?

A solution is optimal when all values in the c_j − z_j row of the simplex tableau are either zero or positive.

For each of the special cases of infeasibility, unboundedness, and alternate optimal solutions, tell what you would do next with your linear programming model if the case occurred.

When there is a tie between two or more variables for removal from the simplex tableau,

In a simplex tableau, there is a variable associated with each column and both a constraint and a basic variable associated with each row.

Solve the following problem by the simplex method. Max 14x₁ + 14.5x₂ + 18x₃ s.t. x₁ + 2x₂ + 2.5x₃ ≤ 50 x₁ + x₂ + 1.5x₃ ≤ 30 x₁ , x₂ , x₃ ≥ 0

A basic solution and a basic feasible solution

Write the following problem in tableau form. Which variables would be in the initial basic solution? Min Z = 3x₁ + 8x₂ s.t. x₁ + x₂ ≤ 200 x₁ ≤ 80 x₂ ≤ 60

A student in a Management Science class developed this initial tableau for a maximization problem and now wants to perform row operations to obtain the next tableau and check for an optimal solution.

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

The purpose of the tableau form is to provide

If a variable is not in the basis, its value is 0.

A simplex table 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.

Comment on the 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.

The purpose of row operations is to create a unit column for the entering variable while maintaining unit columns for the remaining basic variables.

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

To determine a basic solution set of n−m, the variables equal to zero and solve the m linear constraint equations for the remaining m variables.

The basic solution to a problem with three equations and four variables would assign a value of 0 to

Algebraic methods such as the simplex method are used to solve

What is an artificial variable? Why is it necessary?

A solution is optimal when all values in the cj − zj row of the simplex tableau are either zero or positive.

​For each of the special cases of infeasibility, unboundedness, and alternate optimal solutions, tell what you would do next with your linear programming model if the case occurred.

When there is a tie between two or more variables for removal from the simplex tableau,

In a simplex tableau, there is a variable associated with each column and both a constraint and a basic variable associated with each row.

Solve the following problem by the simplex method. Max 14x1 + 14.5x2 + 18x3 s.t. x1 + 2x2 + 2.5x3 ≤ 50 x1 + x2 + 1.5x3 ≤ 30 x1 , x2 , x3 ≥ 0

A basic solution and a basic feasible solution

Write the following problem in tableau form. Which variables would be in the initial basic solution? Min Z = 3x1 + 8x2 s.t. x1 + x2 ≤ 200 x1 ≤ 80 x2 ≤ 60

​A student in a Management Science class developed this initial tableau for a maximization problem and ​ now wants to perform row operations to obtain the next tableau and check for an optimal solution. ​ ​

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

A simplex table 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.

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

A solution is optimal when all values in the c_j − z_j row of the simplex tableau are either zero or positive.

For each of the special cases of infeasibility, unboundedness, and alternate optimal solutions, tell what you would do next with your linear programming model if the case occurred.

Solve the following problem by the simplex method. Max 14x₁ + 14.5x₂ + 18x₃ s.t. x₁ + 2x₂ + 2.5x₃ ≤ 50 x₁ + x₂ + 1.5x₃ ≤ 30 x₁ , x₂ , x₃ ≥ 0

Write the following problem in tableau form. Which variables would be in the initial basic solution? Min Z = 3x₁ + 8x₂ s.t. x₁ + x₂ ≤ 200 x₁ ≤ 80 x₂ ≤ 60

A student in a Management Science class developed this initial tableau for a maximization problem and now wants to perform row operations to obtain the next tableau and check for an optimal solution.