The annual demand for a product is 14,500 units. The weekly demand is 279 units with a standard deviation of 85 units. The cost to place an order is $32.00, and the time from ordering to receipt is six weeks. The annual inventory carrying cost is $0.20 per unit. a. Find the reorder point necessary to provide a 95 percent service probability. (Use Excel's NORM.S.INV() function to find the z value. Round z value to 2 decimal places.)   b. Suppose the production manager is asked to reduce the safety stock of this item by 55 percent. If she does so, what will the new service probability be? (Use Excel's NORM.S.DIST() function to find the correct probability for your computed z value. Round "z" value to 2 decimal places and final answer to 1 decimal place.)

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...
icon
Related questions
icon
Concept explainers
Topic Video
Question

The annual demand for a product is 14,500 units. The weekly demand is 279 units with a standard deviation of 85 units. The cost to place an order is $32.00, and the time from ordering to receipt is six weeks. The annual inventory carrying cost is $0.20 per unit.

a. Find the reorder point necessary to provide a 95 percent service probability. (Use Excel's NORM.S.INV() function to find the z value. Round z value to 2 decimal places.)

 



b. Suppose the production manager is asked to reduce the safety stock of this item by 55 percent. If she does so, what will the new service probability be? (Use Excel's NORM.S.DIST() function to find the correct probability for your computed z value. Round "z" value to 2 decimal places and final answer to 1 decimal place.)

 
Expert Solution
Step 1
EOQ = sqrt (2DS/H)
Annual Holding cost = EOQ/2 x H
Annual ordering cost =  D/EOQ x S
Reorder point = d x LT  + safety stock 
safety stock = z X std. deviation of demand X sqrt(LT)
where d = weekly demand 
D = Annual demand 
S = Ordering cost
H = Carrying cost
trending now

Trending now

This is a popular 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
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