California MegaTech is a manufacturing company that, due to low interest rates, thinks now may be the time to finance expansion into the Los Angeles and/or San Francisco areas by building factories there. However, the company only has a $10 million capital budget. So management must decide what to build and where in order to maximize the expansion's net present value (NPV). This investment is subject to the following considerations: Net Present Value ($mil) LA SF Capital Required ($mil) LA SF Warehouse 6 4 Warehouse Factory 8 Factory 3 The company is willing to build a factory at either or both locations. The company is willing to build no more than one factory in each location. The company is willing to build only ONE warehouse. The company is willing to build a warehouse ONLY if a factory is built at the same location. Each potential factory/warehouse has capital requirements. Each potential factory/warehouse has a positive net present value. The company is only willing to commit $10 million to the project. What is the proper formulation for this problem? Show objective function, decision variables, and constraints. Assuming the company will build at least one factory or warehouse, identify all feasible combinations of factories and warehouses in LA and SF.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
icon
Related questions
icon
Concept explainers
Topic Video
Question
California MegaTech is a manufacturing company that, due to low interest rates, thinks now may be the
time to finance expansion into the Los Angeles and/or San Francisco areas by building factories there.
However, the company only has a $10 million capital budget. So management must decide what to build
and where in order to maximize the expansion's net present value (NPV). This investment is subject to the
following considerations:
Net Present Value ($mil) LA
SF
Capital Required ($mil)
LA
SF
Warehouse
4
Warehouse
2
Factory
8
Factory
3
The company is willing to build a factory at either or both locations.
The company is willing to build no more than one factory in each location.
The company is willing to build only ONE warehouse.
The company is willing to build a warehouse ONLY if a factory is built at the same location.
Each potential factory/warehouse has capital requirements.
Each potential factory/warehouse has a positive net present value.
The company is only willing to commit $10 million to the project.
A) What is the proper formulation for this problem? Show objective function, decision variables, and constraints.
B) Assuming the company will build at least one factory or warehouse, identify all feasible combinations of
factories and warehouses in LA and SF.
LO
CO
Transcribed Image Text:California MegaTech is a manufacturing company that, due to low interest rates, thinks now may be the time to finance expansion into the Los Angeles and/or San Francisco areas by building factories there. However, the company only has a $10 million capital budget. So management must decide what to build and where in order to maximize the expansion's net present value (NPV). This investment is subject to the following considerations: Net Present Value ($mil) LA SF Capital Required ($mil) LA SF Warehouse 4 Warehouse 2 Factory 8 Factory 3 The company is willing to build a factory at either or both locations. The company is willing to build no more than one factory in each location. The company is willing to build only ONE warehouse. The company is willing to build a warehouse ONLY if a factory is built at the same location. Each potential factory/warehouse has capital requirements. Each potential factory/warehouse has a positive net present value. The company is only willing to commit $10 million to the project. A) What is the proper formulation for this problem? Show objective function, decision variables, and constraints. B) Assuming the company will build at least one factory or warehouse, identify all feasible combinations of factories and warehouses in LA and SF. LO CO
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Inventory management
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, operations-management and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Practical Management Science
Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,
Operations Management
Operations Management
Operations Management
ISBN:
9781259667473
Author:
William J Stevenson
Publisher:
McGraw-Hill Education
Operations and Supply Chain Management (Mcgraw-hi…
Operations and Supply Chain Management (Mcgraw-hi…
Operations Management
ISBN:
9781259666100
Author:
F. Robert Jacobs, Richard B Chase
Publisher:
McGraw-Hill Education
Business in Action
Business in Action
Operations Management
ISBN:
9780135198100
Author:
BOVEE
Publisher:
PEARSON CO
Purchasing and Supply Chain Management
Purchasing and Supply Chain Management
Operations Management
ISBN:
9781285869681
Author:
Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson
Publisher:
Cengage Learning
Production and Operations Analysis, Seventh Editi…
Production and Operations Analysis, Seventh Editi…
Operations Management
ISBN:
9781478623069
Author:
Steven Nahmias, Tava Lennon Olsen
Publisher:
Waveland Press, Inc.