In a continuous review system, the average daily demand for a part is Normally distributed with mean 20 and standard deviation of 4. The lead time to receive the part from the time it is ordered is 9 days. The appropriate re-order point for this part if we want a 95% service level is
Given:
Average Daily demand = 20
Standard deviation of demand = 4
Lead time = 9 days
Service level = 95% = 0.95
Reorder point, ROP = Average Daily Demand + Z-score(At service level) * Standard deviation * Sqrt (Lead Time)
Z-Score (At Service level of 95%) = 1.65
ROP = 20 + (1.65 * 4 * SQRT(9))
= 20 + (1.65*4*3)
= 39.8
~ 40 Units
In a continuous review system, the average daily demand for a part is Normally distributed with...
The demand for a product is normally distributed with an average daily demand of 90 units and a standard deviation of 20. The lead time for the component is 4 days. A service level of 97.5% is desired. What is the optimal re-order point? ANSWER IS 438 UNITS. Please show steps as I do not know how they got here.
13.38. Kelly's Tavern serves Shamrock draft beer to its customers The daily demand for beer is normally distributed, with an average of 20 gallons and a standard deviation of 4 gallons. The lead time re- quired to receive an order of beer from the local distributor is 12 days. Determine the safety stock and reorder point if the restaurant wants to maintain a 90% service level. What would be the increase in the safety stock if a 95% service level...
If daily demand is normally distributed with a mean of 15 and standard deviation of 5, and lead time is constant at 7 days, a 95% service level will require how much safety stock? 10 units 13 units 17 units 22 units 8 units
The following information is available for a product whose demand is variable. The daily demand is distributed normally, with an average demand of 5 and one standard deviation of 2. The delivery time for this product is also approximately normal, with an average of 10 days and a standard deviation of 3 days. We want a service level of 95%. Calculate the security stock level and the order point for this product
how do you get these answers? 17. (15 polnts) The daily demand for sunscreen at a drugstore is normally distributed with a mean of 18 bottles and a standard deviation of 4. They use a continuous review policy, where supplier lead time is a constant 5 days a Find the average and standard deviation of the demand over the lead time. Average Lead Time Demand (round to an integer) 94 SL Dev. of Lead Time Demand (round to b deinal...
At a local hardware store, daily demand for winter tires is normally distributed with a mean of 50 tires and standard deviation of 20 tires. The source of supply is reliable and maintains a constant lead time of four days. The cost of placing the order is $20 and annual total holding costs are $1.00 per tire. Assume that the store operates 320 days a year and service level of 95%. Calculate the total holding cost (including the holding cost...
1. What are the six assumptions of the EOQ model? 2. Average daily demand for a product is normally distributed with a mean of 25 units and a standard deviation of 4 units. Lead time is fixed at 20 days. What reorder point provides for a service level of 95 percent (z=1.65)?
An item that is managed with a periodic review system has average daily demand of 60 units with a standard deviation of 2. The order interval for this item has been set at 10 days. Lead time for this item averages 5 days, with a standard deviation of 0.5 days. Acceptable stockout risk has been established as 2.5%. At the latest count, there are 480 units in inventory. How many units should be ordered?
If daily demand is normally distributed with a mean of 15 and standard deviation of 5, and lead time is constant at 4 days, a 90 percent service level (Z=1.29) will require how much safety stock? A. 7 units B. 10 units C. 13 units D. 16 units
The daily demand for Superco's grocery store for bananas is normally distributed with a mean of 60 and a standard deviation of 13.5. Superco's would like to keep a service level of 98%. Additionally, the lead time for new shipments of bananas is 9 days. What is the optimal reorder point for bananas at Superco? 652 612 624 426