the daily demand for an item at a store is constant at 10 units per day. the lead time is normally distributed with a mean time of 12 days and a standard deviation of 3 days. if the store manager would like a 95% service level, how much safety stock should the store maintain?

Respuesta :

If the store manager would like a 95% service level, 49 safety stocks should the store maintain.

95% service level

Z score = 1.645 Z score.

Standard deviation = 3

Demand = 10

Safety stock = Z-score x standard deviation of lead time x average demand.

= 1.645 x 3 x 10

= 49.3

= 49

Safety stock is a time period utilized by logisticians to explain a level of extra inventory that is maintained to mitigate the hazard of stockouts (shortfall in uncooked cloth or packaging) due to uncertainties in supply and demand. adequate protection stock tiers permit commercial enterprise operations to continue in step with their plans. safety stock is held whilst uncertainty exists in call for, deliver, or production yield, and serves as coverage in opposition to stockouts. safety stock is a further amount of an item held inside the stock to lessen the threat that the item can be out of stock.  

It acts as a buffer stock in case sales are extra than planned and/or the supplier is not able to deliver the additional units on the anticipated time. With a brand-new product, safety stock may be used as a strategic tool till the enterprise can judge how correct its forecast is after the primary few years, while it is used with a material requirement planning (MRP) worksheet. The less correct the forecast, the more safety inventory is required to make certain a given level of service.  

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