Meta Cloud Services operates several data centers across the United States containing servers that store and process the data on the Internet. Suppose that Meta Cloud Services currently has five outdated data centers: one each in Michigan, Ohio, and California and two in New York. Management is considering increasing the capacity of these data centers to keep up with increasing demand. Each data center contains servers that are dedicated to Secure data and to Super Secure data. The cost to update each data center and the resulting increase in server capacity for each type of server are as follows: Data Center Cost ($ millions) Secure Servers Super Secure Servers Michigan 2.5 50 30 New York 1 3.5 80 40 New York 2 3.5 40 80 Ohio 4.0 90 60 California 2.0 20 30 The projected needs are for a total increase in capacity of 90 Secure servers and 90 Super Secure servers. Management wants to determine which data centers to update to meet projected needs and, at the same time, minimize the total cost of the added capacity. Formulate a binary integer programming model that could be used to determine the optimal solution to the capacity increase question facing management.
Meta Cloud Services operates several data centers across the United States containing servers that store and process the data on the Internet. Suppose that Meta Cloud Services currently has five outdated data centers: one each in Michigan, Ohio, and California and two in New York. Management is considering increasing the capacity of these data centers to keep up with increasing demand. Each data center contains servers that are dedicated to Secure data and to Super Secure data. The cost to update each data center and the resulting increase in server capacity for each type of server are as follows: Data Center Cost ($ millions) Secure Servers Super Secure Servers Michigan 2.5 50 30 New York 1 3.5 80 40 New York 2 3.5 40 80 Ohio 4.0 90 60 California 2.0 20 30 The projected needs are for a total increase in capacity of 90 Secure servers and 90 Super Secure servers. Management wants to determine which data centers to update to meet projected needs and, at the same time, minimize the total cost of the added capacity. Formulate a binary integer programming model that could be used to determine the optimal solution to the capacity increase question facing management.
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 107P
Related questions
Question
- Meta Cloud Services operates several data centers across the United States containing servers that store and process the data on the Internet. Suppose that Meta Cloud Services currently has five outdated data centers: one each in Michigan, Ohio, and California and two in New York. Management is considering increasing the capacity of these data centers to keep up with increasing demand. Each data center contains servers that are dedicated to Secure data and to Super Secure data. The cost to update each data center and the resulting increase in server capacity for each type of server are as follows:
|
Data Center |
Cost ($ millions) |
Secure Servers |
Super Secure Servers |
|
Michigan |
2.5 |
50 |
30 |
|
New York 1 |
3.5 |
80 |
40 |
|
New York 2 |
3.5 |
40 |
80 |
|
Ohio |
4.0 |
90 |
60 |
|
California |
2.0 |
20 |
30 |
The projected needs are for a total increase in capacity of 90 Secure servers and 90 Super Secure servers. Management wants to determine which data centers to update to meet projected needs and, at the same time, minimize the total cost of the added capacity.
- Formulate a binary integer programming model that could be used to determine the optimal solution to the capacity increase question facing management.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 4 images
Recommended textbooks for you
Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,
Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,