Brenda opened a pool and spa store in a lively shopping mall and finds business to be booming but she often stocks out of key items customers want. The 28-ounce bottle of Super Algaecide (SA) is a high margin SKU, but it stocks out frequently. Ten SA bottles come in each box, and she orders boxes from a vendor 160 miles away. Brenda is busy running the store and seldom has time to review store inventory status and order the right quantity at the right time. She collected the following data: Demand = 10 boxes per week Store open 48 weeks/year Order cost = $40/order Lead-time = 4 weeks Item cost = $80/box Std. deviation in weekly demand = 6 Inventory holding cost = 15% per year Service level = 90% Brenda wants to consider setting up a fixed-period inventory system for the 28-ounce bottle of Super Algaecide (SA) SKU. At the beginning of the current week, D. J. Kole, the materials manager, checked the inventory level and found 55 units on-hand. There were no scheduled receipts, and 25 units were on backorder. a. What is the review period (T) rounded up to a whole number? b. What is stock replenishment level with safety stock (M)? c. How many units should be ordered?   please solve manually without excel!

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...
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Brenda opened a pool and spa store in a lively shopping mall and finds business to be booming
but she often stocks out of key items customers want. The 28-ounce bottle of Super Algaecide
(SA) is a high margin SKU, but it stocks out frequently. Ten SA bottles come in each box, and
she orders boxes from a vendor 160 miles away. Brenda is busy running the store and seldom
has time to review store inventory status and order the right quantity at the right time. She
collected the following data:


Demand = 10 boxes per week
Store open 48 weeks/year
Order cost = $40/order
Lead-time = 4 weeks
Item cost = $80/box
Std. deviation in weekly demand = 6
Inventory holding cost = 15% per year
Service level = 90%

Brenda wants to consider setting up a fixed-period inventory system for the 28-ounce bottle of
Super Algaecide (SA) SKU. At the beginning of the current week, D. J. Kole, the materials
manager, checked the inventory level and found 55 units on-hand. There were no scheduled
receipts, and 25 units were on backorder.

a. What is the review period (T) rounded up to a whole number?
b. What is stock replenishment level with safety stock (M)?
c. How many units should be ordered?
 
please solve manually without excel!
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