A manufacturing plant procures 100,000 filters per year.  Each unit has a fixed order cost is $50. To maintain the inventory in optimal conditions, there is a carrying cost rate of 10% per year. The vendor of filters has offered the following price breaks: for orders of more than 5,000 filters, cost is $4.50/unit; for orders between 1,000 and 5,000 filters, cost is $4.75/unit; orders less than 1,000 filters have a cost of $5.00/unit.    Find the economic order quantity. Calculate the average annual cost for the optimal solution.

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
Concept explainers
Topic Video
Question

A manufacturing plant procures 100,000 filters per year.  Each unit has a fixed order cost is $50. To maintain the inventory in optimal conditions, there is a carrying cost rate of 10% per year. The vendor of filters has offered the following price breaks: for orders of more than 5,000 filters, cost is $4.50/unit; for orders between 1,000 and 5,000 filters, cost is $4.75/unit; orders less than 1,000 filters have a cost of $5.00/unit. 

 

Find the economic order quantity.

Calculate the average annual cost for the optimal solution.

 

Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

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.