Practical Management Science
Practical Management Science
6th Edition
ISBN: 9781337671989
Author: WINSTON
Publisher: Cengage
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Chapter 3, Problem 25P

a)

Summary Introduction

To determine: The daily production plan which would minimize the cost of meeting the daily demand of the company.

Introduction: In linear programming, the unbounded solution would occur when the objective function is infinite. If no solution satisfied the constraints, then it is said to be an unfeasible solution.

a)

Expert Solution
Check Mark

Explanation of Solution

Determine the daily production plan which would minimize the cost of meeting the daily demand of the company using solver:

Practical Management Science, Chapter 3, Problem 25P , additional homework tip  1

Figure (1)

Formulae to determine the total cost:

Practical Management Science, Chapter 3, Problem 25P , additional homework tip  2

Figure (2)

Solver parameters are given as follows:

Practical Management Science, Chapter 3, Problem 25P , additional homework tip  3

Figure (3)

b)

Summary Introduction

To draw: The daily production plan which would minimize the cost of meeting the daily demand of the company graphically.

Introduction: In linear programming, the unbounded solution would occur when the objective function is infinite. If no solution satisfied the constraints, then it is said to be an unfeasible solution.

b)

Expert Solution
Check Mark

Explanation of Solution

Determine the daily production plan which would minimize the cost of meeting the daily demand of the company:

Practical Management Science, Chapter 3, Problem 25P , additional homework tip  4

Figure (1)

Draw the graph:

Practical Management Science, Chapter 3, Problem 25P , additional homework tip  5

Figure (4)

c)

Summary Introduction

To determine: The increase in the total cost before the change in the decision variable.

Introduction: In linear programming, the unbounded solution would occur when the objective function is infinite. If no solution satisfied the constraints, then it is said to be an unfeasible solution.

c)

Expert Solution
Check Mark

Explanation of Solution

Determine the daily production plan which would minimize the cost of meeting the daily demand of the company:

Practical Management Science, Chapter 3, Problem 25P , additional homework tip  6

Figure (1)

Solver table:

Practical Management Science, Chapter 3, Problem 25P , additional homework tip  7

Figure (5)

In figure (1), the cost of process 2 should be increased from $100 to $1,000 to determine the total cost shown in above solver table (figure (5)).

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