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?

Purchasing and Supply Chain Management
6th Edition
ISBN:9781285869681
Author:Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson
Publisher:Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson
Chapter16: Lean Supply Chain Management
Section: Chapter Questions
Problem 10DQ: The chapter presented various approaches for the control of inventory investment. Discuss three...
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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?

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