A jewelry firm buys semiprecious stones to make bracelets and rings. The supplier quotes a priceof $8 per stone for quantities of 600 stones or more, $9 per stone for orders of 400 to 599 stones,and $10 per stone for lesser quantities. The jewelry firm operates 200 days per year. Usage rate is25 stones per day, and ordering costs are $48.a. If carrying costs are $2 per year for each stone, find the order quantity that will minimize totalannual cost.b. If annual carrying costs are 30 percent of unit cost, what is the optimal order size?c. If lead time is six working days, at what point should the company reorder?

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

A jewelry firm buys semiprecious stones to make bracelets and rings. The supplier quotes a price
of $8 per stone for quantities of 600 stones or more, $9 per stone for orders of 400 to 599 stones,
and $10 per stone for lesser quantities. The jewelry firm operates 200 days per year. Usage rate is
25 stones per day, and ordering costs are $48.
a. If carrying costs are $2 per year for each stone, find the order quantity that will minimize total
annual cost.
b. If annual carrying costs are 30 percent of unit cost, what is the optimal order size?
c. If lead time is six working days, at what point should the company reorder?

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 7 steps with 8 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
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.