If the retailer orders a demand of Q = 10,800 units of masks in March, what would be the service level? Also, if the retailer is considering an order policy in which the safety stock level is SS = 25 units of masks, what would the corresponding reorder level

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
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At a recent manufacturing workshop, XYZ, Incorporated explained that demand for disposable masks increase rapidly in March 2020 when quarantine mandates first took effect. At the time, retailers could only place a single order to cover demands through the end of the summer.

A certain retailer purchased disposal masks from a supplier at a cost of $20 per unit and sold them for $30 per unit. By the end of summer, demand for masks subsided considerably and all masks that weren't sold during the summer could be sold at a discounted price of $18 per unit. The retailer estimated that demand between March and August would be Normally distributed with mu = 10,000 and sigma = 1525 units

With, supply chains becoming more stable since March 2020, the retailer is currently in the process of establishing a contract with a disposable mask supplier. The supplier has agreed to sell masks to the retailer for $18 per unit and will make deliveries any time the supplier places an order for a cost of $100 per delivery (the delivery cost is independent of the size of the order). The supplier's lead time is stable at 3 days.

On the demand side, estimates are much more conservative compared to the March-August timeframe: demand is assumed to be normal with mu = 1200 and sigma = 60 units per month. Other cost includes a holding cost of $2.50 per unit per month and a back-order cost of $29 per unit per month. The number of workdays each month is 24.

 

Question:

If the retailer orders a demand of Q = 10,800 units of masks in March, what would be the service level?

Also, if the retailer is considering an order policy in which the safety stock level is SS = 25 units of masks, what would the corresponding reorder level

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