Homework Help is Here – Start Your Trial Now!
Business
Operations Management
A specialized machine essential for a company's operations costs $5,000 and has operating costs of $2,000 the first year. The operating costs increase by $1,000 each year thereafter. We assume that the operating costs occur at the end of each year. The interest rate is 5% and the company plans to stay in operation forever. You have an option to replace the machine periodically after a period of n years, where n must be an integer. The replacement cost is $5,000. Your objective is to select the replacement period n such that the present value of the total cost is minimized. Assume that due to its specialized nature, the machine has no salvage value. What is the optimal replacement period, n? Note n must be an integer.

A specialized machine essential for a company's operations costs $5,000 and has operating costs of $2,000 the first year. The operating costs increase by $1,000 each year thereafter. We assume that the operating costs occur at the end of each year. The interest rate is 5% and the company plans to stay in operation forever. You have an option to replace the machine periodically after a period of n years, where n must be an integer. The replacement cost is $5,000. Your objective is to select the replacement period n such that the present value of the total cost is minimized. Assume that due to its specialized nature, the machine has no salvage value. What is the optimal replacement period, n? Note n must be an integer.

Practical Management Science
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...
See similar textbooks
icon
Related questions
Question

Help me fast so that I will give Upvote.

 

A specialized machine essential for a company's operations costs $5,000 and has operating costs of $2,000 the first year. The operating costs increase by $1,000 each year thereafter. We assume that the operating costs occur at the end of each year. The interest rate is 5% and the company plans to stay in operation forever. You have an option to replace the machine periodically after a period of n years, where n must be an integer. The replacement cost is $5,000. Your objective is to select the replacement period n such that the present value of the total cost is minimized. Assume that due to its specialized nature, the machine has no salvage value. What is the optimal replacement period, n? Note n must be an integer.
Transcribed Image Text:A specialized machine essential for a company's operations costs $5,000 and has operating costs of $2,000 the first year. The operating costs increase by $1,000 each year thereafter. We assume that the operating costs occur at the end of each year. The interest rate is 5% and the company plans to stay in operation forever. You have an option to replace the machine periodically after a period of n years, where n must be an integer. The replacement cost is $5,000. Your objective is to select the replacement period n such that the present value of the total cost is minimized. Assume that due to its specialized nature, the machine has no salvage value. What is the optimal replacement period, n? Note n must be an integer.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Communication ethics
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.
SEE MORE TEXTBOOKS