Question

An item that is managed with a periodic review system has average daily demand of 60...

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?

0 0
Add a comment Improve this question Transcribed image text
Answer #1

No. of units to be ordered = D*(P + LT) + Z*(LT*2^2 + D^2*.5^2)^.5 – available inventory

Value of Z at 97.5% = 1.96

No. of units to be ordered = 60*(10+5) + 1.96*(5*2^2 + 60^2*.5^2)^.5 – 480

No. of units to be ordered = 479.44 or 479 units

Add a comment
Know the answer?
Add Answer to:
An item that is managed with a periodic review system has average daily demand of 60...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • A firm stocks a certain item, which is managed on a continuous review basis. Demand averages...

    A firm stocks a certain item, which is managed on a continuous review basis. Demand averages 230 units per day with a standard deviation of 45 units per day. Lead time is fixed at 10 day. If the firm sets the reorder point to 2400 units, the cycle-service level will be approximately?? (round down Z to 2 decimal places, and use normal distbn table). ROP = (Avg. Daily Demand rate * lead time) + safety stock Safety stock = Z...

  • In a continuous review system, the average daily demand for a part is Normally distributed with...

    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

  • A company manages its inventory for a specific item using the periodic review inventory model with...

    A company manages its inventory for a specific item using the periodic review inventory model with 10 days between orders. It is currently time to place an order, and the company notes that there are 140 items on hand. The item to be replenished has a lead time of 6 days with a daily demand of 440 units. The standard deviation of demand during the uncertainty period has been calculated to be 65. If the company wants to have at...

  • An item is being managed using a fixed time period model with safety stock. Assume weekly...

    An item is being managed using a fixed time period model with safety stock. Assume weekly demand = 75, the review cycle = 3 weeks, safety stock = 32 units, and the company operates 50 weeks per year. Inventory turns for the item = 0 21 0 26 O 32 O 35 Daily demand for a product is 22 units with a standard deviation of 6 units. The review period is 35 days and the leadtime is 14 days. Management...

  • Daily demand for a product is 130 units, with a standard deviation of 20 units. The...

    Daily demand for a product is 130 units, with a standard deviation of 20 units. The review period is 10 days and the lead time is 10 days. At the time of review there are 40 units in stock. If 99 percent service probability is desired, how many units should be ordered? Ordered quantity units.

  • Nationwide Auto Parts uses a periodic review inventory control system for one of its stock items....

    Nationwide Auto Parts uses a periodic review inventory control system for one of its stock items. The review interval is 12 ​weeks, and the lead time for receiving the materials ordered from its wholesaler is 4 weeks. Weekly demand is normally​ distributed, with a mean of 125 units and a standard deviation of 25 units. Refer to the standard normal table LOADING... for​ z-values. a. What is the average and the standard deviation of demand during the protection​ interval? The...

  • There is a daily demand of 10 units with standard deviation 3 unit. The lead time...

    There is a daily demand of 10 units with standard deviation 3 unit. The lead time is 14 days with the review period is 30 days. The company set policy of 98% demand satisfaction from items in stock. Beginning inventory is 150 units. How many units should be ordered?

  • Given this information: Lead-time demand = 620 pounds Standard deviation of lead time demand = 50...

    Given this information: Lead-time demand = 620 pounds Standard deviation of lead time demand = 50 pounds (Assume normality.) Acceptable stockout risk during lead time = 4 percent Use Table. a. What amount of safety stock is appropriate? (Round your answer to the nearest whole number.)   Safety stock units b. When should this item be reordered? (Round your answer to the nearest whole number.)   ROP units c. What risk of stockout would result from a decision not to have any...

  • OM

    Nationwide Auto Parts uses a periodic review inventorycontrol system for one of its stock items. The review intervalis 6 weeks, and the lead time for receiving the materialsordered from its wholesaler is 3 weeks. Weekly demand isnormally distributed, with a mean of 100 units and a standarddeviation of 20 units.a. What is the average and the standard deviation ofdemand during the protection interval?b. What should be the target inventory level if the firmdesires 97.5 percent stockout protection?c. If 350 units...

  • PAID Distributors, Inc. applies a periodic review policy (fixed interval policy) to manage its inventory. For...

    PAID Distributors, Inc. applies a periodic review policy (fixed interval policy) to manage its inventory. For a certain product, PAID reviews its inventory every 30 days and places an order at that time. The lead time for delivery once the purchase order is placed with the supplier is 6 days. PAID would like to maintain a service level of at least 98%. It currently purchases the item from the supplier for $5.00 each and sells it for $7.00 each. Average...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT