If an LP model can have exactly two optimal solutions.

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Answer 1

Question

Chapter 2, Problem 1QP

Summary Introduction

To explain: If an LP model can have exactly two optimal solutions.

Expert Solution & Answer

Explanation of Solution

It is not possible for an LP model to have exactly two optimal solutions. A normal LP model can have either a single optimal solution or more than 1 optimal solution. But it is not possible to have exactly two solutions.

LP model will have 1 optimal solution when the final level curve intersecting the region at a single point in the feasible region. But, when the final level curve intersects with edges of a feasible region, there will be more than 1 point in the feasible region. Therefore, it will have more than 1 optimal solution.

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Answer 2

Question

Chapter 2, Problem 1QP

Summary Introduction

To explain: If an LP model can have exactly two optimal solutions.

Expert Solution & Answer

Explanation of Solution

It is not possible for an LP model to have exactly two optimal solutions. A normal LP model can have either a single optimal solution or more than 1 optimal solution. But it is not possible to have exactly two solutions.

LP model will have 1 optimal solution when the final level curve intersecting the region at a single point in the feasible region. But, when the final level curve intersects with edges of a feasible region, there will be more than 1 point in the feasible region. Therefore, it will have more than 1 optimal solution.

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Answer 3

Question

Chapter 2, Problem 1QP

Summary Introduction

To explain: If an LP model can have exactly two optimal solutions.

Expert Solution & Answer

Explanation of Solution

It is not possible for an LP model to have exactly two optimal solutions. A normal LP model can have either a single optimal solution or more than 1 optimal solution. But it is not possible to have exactly two solutions.

LP model will have 1 optimal solution when the final level curve intersecting the region at a single point in the feasible region. But, when the final level curve intersects with edges of a feasible region, there will be more than 1 point in the feasible region. Therefore, it will have more than 1 optimal solution.

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Answer 4

Question

Chapter 2, Problem 1QP

Summary Introduction

To explain: If an LP model can have exactly two optimal solutions.

Expert Solution & Answer

Explanation of Solution

It is not possible for an LP model to have exactly two optimal solutions. A normal LP model can have either a single optimal solution or more than 1 optimal solution. But it is not possible to have exactly two solutions.

LP model will have 1 optimal solution when the final level curve intersecting the region at a single point in the feasible region. But, when the final level curve intersects with edges of a feasible region, there will be more than 1 point in the feasible region. Therefore, it will have more than 1 optimal solution.

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Answer 5

Chapter 2, Problem 1QP

Summary Introduction

To explain: If an LP model can have exactly two optimal solutions.

Expert Solution & Answer

Explanation of Solution

It is not possible for an LP model to have exactly two optimal solutions. A normal LP model can have either a single optimal solution or more than 1 optimal solution. But it is not possible to have exactly two solutions.

LP model will have 1 optimal solution when the final level curve intersecting the region at a single point in the feasible region. But, when the final level curve intersects with edges of a feasible region, there will be more than 1 point in the feasible region. Therefore, it will have more than 1 optimal solution.

Answer 6

Chapter 2, Problem 1QP

Summary Introduction

To explain: If an LP model can have exactly two optimal solutions.

Expert Solution & Answer

Explanation of Solution

It is not possible for an LP model to have exactly two optimal solutions. A normal LP model can have either a single optimal solution or more than 1 optimal solution. But it is not possible to have exactly two solutions.

LP model will have 1 optimal solution when the final level curve intersecting the region at a single point in the feasible region. But, when the final level curve intersects with edges of a feasible region, there will be more than 1 point in the feasible region. Therefore, it will have more than 1 optimal solution.

Answer 7

Chapter 2, Problem 1QP

Summary Introduction

To explain: If an LP model can have exactly two optimal solutions.

Answer 8

Expert Solution & Answer

Explanation of Solution

It is not possible for an LP model to have exactly two optimal solutions. A normal LP model can have either a single optimal solution or more than 1 optimal solution. But it is not possible to have exactly two solutions.

LP model will have 1 optimal solution when the final level curve intersecting the region at a single point in the feasible region. But, when the final level curve intersects with edges of a feasible region, there will be more than 1 point in the feasible region. Therefore, it will have more than 1 optimal solution.

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

Ch. 2 - Prob. 1QP Ch. 2 - Prob. 2QP Ch. 2 - Prob. 3QP Ch. 2 - Prob. 4QP Ch. 2 - Prob. 5QP Ch. 2 - Prob. 6QP Ch. 2 - Prob. 7QP Ch. 2 - Prob. 8QP Ch. 2 - Prob. 9QP Ch. 2 - Prob. 10QP

If an LP model can have exactly two optimal solutions.

Concept explainers

To explain: If an LP model can have exactly two optimal solutions.

Explanation of Solution

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Chapter 2 Solutions