A sport clothing store sells a popular baseball team cap and classifies it as an A category item. The cap has a normally distributed monthly demand of 500 units (average). The standard deviation of the monthly demand is 12. The cap costs $10 a unit and sells for $15 a unit. The cost of capital for the store is 8% per year. The shipment against a replenishment order is received after 10 days of placing the order with the supplier. Each shipment from the supplier costs $20 in delivery charges and half an hour of staff’s time for storage. Staff is paid $16 an hour.   What is the optimum order quantity and the reorder point for the cap if the store desires a 98% service level during the lead time? (Assume 30 days in a month. You can completely round the answers to the closest integer.)

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 sport clothing store sells a popular baseball team cap and classifies it as an A category item. The cap has a normally distributed monthly demand of 500 units (average). The standard deviation of the monthly demand is 12. The cap costs $10 a unit and sells for $15 a unit. The cost of capital for the store is 8% per year. The shipment against a replenishment order is received after 10 days of placing the order with the supplier. Each shipment from the supplier costs $20 in delivery charges and half an hour of staff’s time for storage. Staff is paid $16 an hour.

 

What is the optimum order quantity and the reorder point for the cap if the store desires a 98% service level during the lead time?

(Assume 30 days in a month. You can completely round the answers to the closest integer.)

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