To formulate: A linear programming model and solve using a computer.

Question

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Answer 1

Question

Chapter 4, Problem 7P

a)

Summary Introduction

To formulate: A linear programming model and solve using a computer.

a)

Expert Solution

Explanation of Solution

Formulation:

Let ‘x’ be Apple Butter.

Let ‘y’ be Applesauce.

Let ‘z’ be Apple Jelly.

Maximize=190x+170y+155zSubject to:3.5x+5.2y+2.8z≤5001.2x+0.8y+1.5z≤24040x+55y+20z≤6,500x,y,z≥0

Model and formulas:

Introduction To Management Science, Global Edition, Chapter 4, Problem 7P , additional homework tip 1

Solver input:

Introduction To Management Science, Global Edition, Chapter 4, Problem 7P , additional homework tip 2

Output:

Introduction To Management Science, Global Edition, Chapter 4, Problem 7P , additional homework tip 3

b)

Summary Introduction

To explain: The impact on the model and the solution.

b)

Expert Solution

Explanation of Solution

Impact on the model and solution:

The leftover apples are 2,309.52. It will lead to additional revenue of

Apple revenue=2,309.52×0.08=$184.76

The leftover apple will lead to additional revenue of $184.76. There will not be any change in the model or the optimal solution.

c)

Summary Introduction

To explain: If Company F should use all the apples to produce cider along with the other three products.

c)

Expert Solution

Explanation of Solution

The idea of a new product:

The idea of producing the new product is not possible because even though there are leftover apples, Company F does not have any labor hours or cooking time available to manufacture cider. Hence, the proposed idea is not possible.

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Answer 2

Question

Chapter 4, Problem 7P

a)

Summary Introduction

To formulate: A linear programming model and solve using a computer.

a)

Expert Solution

Explanation of Solution

Formulation:

Let ‘x’ be Apple Butter.

Let ‘y’ be Applesauce.

Let ‘z’ be Apple Jelly.

Maximize=190x+170y+155zSubject to:3.5x+5.2y+2.8z≤5001.2x+0.8y+1.5z≤24040x+55y+20z≤6,500x,y,z≥0

Model and formulas:

Introduction To Management Science, Global Edition, Chapter 4, Problem 7P , additional homework tip 1

Solver input:

Introduction To Management Science, Global Edition, Chapter 4, Problem 7P , additional homework tip 2

Output:

Introduction To Management Science, Global Edition, Chapter 4, Problem 7P , additional homework tip 3

b)

Summary Introduction

To explain: The impact on the model and the solution.

b)

Expert Solution

Explanation of Solution

Impact on the model and solution:

The leftover apples are 2,309.52. It will lead to additional revenue of

Apple revenue=2,309.52×0.08=$184.76

The leftover apple will lead to additional revenue of $184.76. There will not be any change in the model or the optimal solution.

c)

Summary Introduction

To explain: If Company F should use all the apples to produce cider along with the other three products.

c)

Expert Solution

Explanation of Solution

The idea of a new product:

The idea of producing the new product is not possible because even though there are leftover apples, Company F does not have any labor hours or cooking time available to manufacture cider. Hence, the proposed idea is not possible.

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 3

Question

Chapter 4, Problem 7P

a)

Summary Introduction

To formulate: A linear programming model and solve using a computer.

a)

Expert Solution

Explanation of Solution

Formulation:

Let ‘x’ be Apple Butter.

Let ‘y’ be Applesauce.

Let ‘z’ be Apple Jelly.

Maximize=190x+170y+155zSubject to:3.5x+5.2y+2.8z≤5001.2x+0.8y+1.5z≤24040x+55y+20z≤6,500x,y,z≥0

Model and formulas:

Introduction To Management Science, Global Edition, Chapter 4, Problem 7P , additional homework tip 1

Solver input:

Introduction To Management Science, Global Edition, Chapter 4, Problem 7P , additional homework tip 2

Output:

Introduction To Management Science, Global Edition, Chapter 4, Problem 7P , additional homework tip 3

b)

Summary Introduction

To explain: The impact on the model and the solution.

b)

Expert Solution

Explanation of Solution

Impact on the model and solution:

The leftover apples are 2,309.52. It will lead to additional revenue of

Apple revenue=2,309.52×0.08=$184.76

The leftover apple will lead to additional revenue of $184.76. There will not be any change in the model or the optimal solution.

c)

Summary Introduction

To explain: If Company F should use all the apples to produce cider along with the other three products.

c)

Expert Solution

Explanation of Solution

The idea of a new product:

The idea of producing the new product is not possible because even though there are leftover apples, Company F does not have any labor hours or cooking time available to manufacture cider. Hence, the proposed idea is not possible.

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 4

Question

Chapter 4, Problem 7P

a)

Summary Introduction

To formulate: A linear programming model and solve using a computer.

a)

Expert Solution

Explanation of Solution

Formulation:

Let ‘x’ be Apple Butter.

Let ‘y’ be Applesauce.

Let ‘z’ be Apple Jelly.

Maximize=190x+170y+155zSubject to:3.5x+5.2y+2.8z≤5001.2x+0.8y+1.5z≤24040x+55y+20z≤6,500x,y,z≥0

Model and formulas:

Introduction To Management Science, Global Edition, Chapter 4, Problem 7P , additional homework tip 1

Solver input:

Introduction To Management Science, Global Edition, Chapter 4, Problem 7P , additional homework tip 2

Output:

Introduction To Management Science, Global Edition, Chapter 4, Problem 7P , additional homework tip 3

b)

Summary Introduction

To explain: The impact on the model and the solution.

b)

Expert Solution

Explanation of Solution

Impact on the model and solution:

The leftover apples are 2,309.52. It will lead to additional revenue of

Apple revenue=2,309.52×0.08=$184.76

The leftover apple will lead to additional revenue of $184.76. There will not be any change in the model or the optimal solution.

c)

Summary Introduction

To explain: If Company F should use all the apples to produce cider along with the other three products.

c)

Expert Solution

Explanation of Solution

The idea of a new product:

The idea of producing the new product is not possible because even though there are leftover apples, Company F does not have any labor hours or cooking time available to manufacture cider. Hence, the proposed idea is not possible.

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 5

Chapter 4, Problem 7P

a)

Summary Introduction

To formulate: A linear programming model and solve using a computer.

a)

Expert Solution

Explanation of Solution

Formulation:

Let ‘x’ be Apple Butter.

Let ‘y’ be Applesauce.

Let ‘z’ be Apple Jelly.

Maximize=190x+170y+155zSubject to:3.5x+5.2y+2.8z≤5001.2x+0.8y+1.5z≤24040x+55y+20z≤6,500x,y,z≥0

Model and formulas:

Introduction To Management Science, Global Edition, Chapter 4, Problem 7P , additional homework tip 1

Solver input:

Introduction To Management Science, Global Edition, Chapter 4, Problem 7P , additional homework tip 2

Output:

Introduction To Management Science, Global Edition, Chapter 4, Problem 7P , additional homework tip 3

b)

Summary Introduction

To explain: The impact on the model and the solution.

b)

Expert Solution

Explanation of Solution

Impact on the model and solution:

The leftover apples are 2,309.52. It will lead to additional revenue of

Apple revenue=2,309.52×0.08=$184.76

The leftover apple will lead to additional revenue of $184.76. There will not be any change in the model or the optimal solution.

c)

Summary Introduction

To explain: If Company F should use all the apples to produce cider along with the other three products.

c)

Expert Solution

Explanation of Solution

The idea of a new product:

The idea of producing the new product is not possible because even though there are leftover apples, Company F does not have any labor hours or cooking time available to manufacture cider. Hence, the proposed idea is not possible.

Answer 6

Chapter 4, Problem 7P

a)

Summary Introduction

To formulate: A linear programming model and solve using a computer.

a)

Expert Solution

Explanation of Solution

Formulation:

Let ‘x’ be Apple Butter.

Let ‘y’ be Applesauce.

Let ‘z’ be Apple Jelly.

Maximize=190x+170y+155zSubject to:3.5x+5.2y+2.8z≤5001.2x+0.8y+1.5z≤24040x+55y+20z≤6,500x,y,z≥0

Model and formulas:

Introduction To Management Science, Global Edition, Chapter 4, Problem 7P , additional homework tip 1

Solver input:

Introduction To Management Science, Global Edition, Chapter 4, Problem 7P , additional homework tip 2

Output:

Introduction To Management Science, Global Edition, Chapter 4, Problem 7P , additional homework tip 3

Answer 7

Chapter 4, Problem 7P

a)

Summary Introduction

To formulate: A linear programming model and solve using a computer.

Answer 8

a)

Expert Solution

Explanation of Solution

Formulation:

Let ‘x’ be Apple Butter.

Let ‘y’ be Applesauce.

Let ‘z’ be Apple Jelly.

Maximize=190x+170y+155zSubject to:3.5x+5.2y+2.8z≤5001.2x+0.8y+1.5z≤24040x+55y+20z≤6,500x,y,z≥0

Model and formulas:

Introduction To Management Science, Global Edition, Chapter 4, Problem 7P , additional homework tip 1

Solver input:

Introduction To Management Science, Global Edition, Chapter 4, Problem 7P , additional homework tip 2

Output:

Introduction To Management Science, Global Edition, Chapter 4, Problem 7P , additional homework tip 3

Answer 9

a)

Expert Solution

Answer 10

a)

Expert Solution

Answer 11

Expert Solution

Answer 12

b)

Summary Introduction

To explain: The impact on the model and the solution.

b)

Expert Solution

Explanation of Solution

Impact on the model and solution:

The leftover apples are 2,309.52. It will lead to additional revenue of

Apple revenue=2,309.52×0.08=$184.76

The leftover apple will lead to additional revenue of $184.76. There will not be any change in the model or the optimal solution.

Answer 13

b)

Summary Introduction

To explain: The impact on the model and the solution.

Answer 14

b)

Expert Solution

Explanation of Solution

Impact on the model and solution:

The leftover apples are 2,309.52. It will lead to additional revenue of

Apple revenue=2,309.52×0.08=$184.76

The leftover apple will lead to additional revenue of $184.76. There will not be any change in the model or the optimal solution.

Answer 15

b)

Expert Solution

Answer 16

b)

Expert Solution

Answer 17

Expert Solution

Answer 18

c)

Summary Introduction

To explain: If Company F should use all the apples to produce cider along with the other three products.

c)

Expert Solution

Explanation of Solution

The idea of a new product:

The idea of producing the new product is not possible because even though there are leftover apples, Company F does not have any labor hours or cooking time available to manufacture cider. Hence, the proposed idea is not possible.

Answer 19

c)

Summary Introduction

To explain: If Company F should use all the apples to produce cider along with the other three products.

Answer 20

c)

Expert Solution

Explanation of Solution

The idea of a new product:

The idea of producing the new product is not possible because even though there are leftover apples, Company F does not have any labor hours or cooking time available to manufacture cider. Hence, the proposed idea is not possible.