Two plants supply three customers with medical supplies. The unit costs of shipping from the plants to the customers, along with the supplies and demands, are given in Table below. The company’s goal is to minimize the cost of meeting customers’ demands. From To Customer 1 Customer 2 Customer 3 Supply Plant 1 55 65 80 35 Plant 2 10 15 25 50 Demand 10 10 10 Formulate a linear programming (LP) model for this problem. Use solver to find the optimal transportation rule As a management science student, the MD of the company seeks your expert advice on ways in which to determine the optimal transportation rule. Advise the MD, providing detailed explanation using your answer obtain in (b). Write your answer in a form of a report to the MD.
Two plants supply three customers with medical supplies. The unit costs of shipping from the plants to the customers, along with the supplies and demands, are given in Table below. The company’s goal is to minimize the cost of meeting customers’ demands. From To Customer 1 Customer 2 Customer 3 Supply Plant 1 55 65 80 35 Plant 2 10 15 25 50 Demand 10 10 10 Formulate a linear programming (LP) model for this problem. Use solver to find the optimal transportation rule As a management science student, the MD of the company seeks your expert advice on ways in which to determine the optimal transportation rule. Advise the MD, providing detailed explanation using your answer obtain in (b). Write your answer in a form of a report to the MD.
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter6: Optimization Models With Integer Variables
Section: Chapter Questions
Problem 61P
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Two plants supply three customers with medical supplies. The unit costs of shipping from the plants to the customers, along with the supplies and demands, are given in Table below.
The company’s goal is to minimize the cost of meeting customers’ demands.
|
From |
To |
|
|
|
|
Customer 1 |
Customer 2 |
Customer 3 |
Supply |
|
|
Plant 1 |
55 |
65 |
80 |
35 |
|
Plant 2 |
10 |
15 |
25 |
50 |
|
Demand |
10 |
10 |
10 |
|
- Formulate a linear programming (LP) model for this problem.
- Use solver to find the optimal transportation rule
- As a management science student, the MD of the company seeks your expert advice on ways in which to determine the optimal
transportation rule. Advise the MD, providing detailed explanation
using your answer obtain in (b). Write your answer in a form of a report to the MD.
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