Introduction To Management Science, Global Edition
Introduction To Management Science, Global Edition
13th Edition
ISBN: 9781292263045
Author: Bernard W. Taylor III
Publisher: PEARSON
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Question
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Chapter 4, Problem 7P

a)

Summary Introduction

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

a)

Expert Solution
Check Mark

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+2.8z5001.2x+0.8y+1.5z24040x+55y+20z6,500x,y,z0

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
Check Mark

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
Check Mark

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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