UNCERTAIN DEMANDLead time demand for an item averages 100 units, with a standard deviation of 30. The order quantity is200 units. Management desires that 99 percent of all demand be met from stock.a) What is the optimal order point?b) Suppose management wanted a 98 percent service level; what would be optimal order point bec)Suppose management wanted 90 service level. Compute the optimal order point

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Answered: UNCERTAIN DEMAND Lead time demand for…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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#5. Consider a product that is stocked using periodic review inventory policy. Orders are placed every 21 days, and shipment lead time is four days. Daily demand is normally distributed with a mean of 58 and standard deviation of 16; fulfillment policy is at 97%. You have to do the following: (b) If the current stock is 398, and we are about to place an order, how much do we order?.
11.7 For an SKU, the standard deviation of demand during the lead time is 150 units, the annual demand is 10,000 units, and the order quantity is 750 units. Management says it will tolerate only one stockout per year. What safety stock should be carried? What is the average inventory? If the lead time is 2 weeks, what is the order point?
1. Michael Traci, the new inventory manager at Magyar Golf Supplies, is considering using the economic order quantity for controlling inventory. He wants you to apply the EOQ to a sample product, the Super-Z Wedge. The Super-Z Wedge has an average demand of 30 units/period with an ordering cost of $30/order. The cost of carrying a Super-Z Wedge in inventory is $2.00/unit/ period. No safety stock is carried for this item. a. Calculate the economic order quantity. b. Calculate the average cycle stock for this item using the order quantity in question a. c. Assuming there are 12 periods per year, calculate total cost per year.
The Universal Computer Company uses a newly developed A1 chip in the manufacturer of their tablet computers. The estimated annual demand for this chip is 12,000 units. It is estimated that the cost to place an order is $75, and the holding cost for each chip is $20 per year. The company operates 320 days per year. a. What is the economic order quantity for the A1 chip? b. What is the total cost if the Universal Computer Company orders using the EOQ quantity?
(a) Ignoring taxation, calculate the optimum order level of inventory over a one-year planning period using the EOQ model. (b) Estimate the level of safety inventory that should be carried by Toyzrfun Ltd. (c) If Toyzrfun Ltd were to be offered a quantity discount by its suppliers of 1% for orders of 30 000 units or more, evaluate whether it would be beneficial for the company to take advantage of the quantity discount. Assume for this calculation that no safety inventory is carried. (d) Estimate the expected total annual costs of inventory management if the EOQ had been (i) 50% higher, and (ii) 50% lower than its actual level. Comment upon the sensitivity of total annual costs to changes in the EOQ.
Subject: calculus
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Current decision to buy: Ross White's machine shop uses 300 brackets each month during the course of a year. This usage is relatively constant throughout the year. Currently, these brackets are purchased from a supplier 100 miles away for $25 each and the lead time is 2 days. The holding cost per bracket per year is $3.75 (15% of the unit cost) and the annual ordering cost per order is $18.50. There are 240 working days per year. Possible future decision to make in-house: Ross White is reconsidering his decision of buying the brackets and is considering making the brackets in-house. He has determined the set up costs would be $22.50 in machinist time and lost production time. Forty eight brackets could be produced in a day once the machine has been set up. Ross estimates that the cost (including labor and materials) of producing one bracket would be $22.85. The holding cost would be 12% of the cost. What is the EOQ given Ross' current decision to buy the brackets? What is the…
Howard BooksLynelle Howard owns a thriving independent bookstore in artsy New Hope,Pennsylvania. She must decide how many copies to order of a new book, Powerand Self-Destruction, an exposé on a famous politician’s lurid affairs. Interest inthe book will be intense at first and then fizzle quickly as attention turns to othercelebrities.The book’s retail price is $27 and the wholesale price is $19. The publisher willbuy back the retailer’s leftover copies at a full refund, but Howard Books incurs $5in shipping and handling costs for each book returned to the publisher.Lynelle believes her demand forecast can be represented by a normal distributionwith a mean of 310 and a standard deviation of 100.
Harvey Gold, orders an unusual olive from the island of Santorini, off the Greek coast. Over the years he has noticed considerable variability in the time it takes to receive orders of these olives. He can place a replenishment order at any time. On average the order lead time is 4 months and the standard deviation is 6 weeks (1.5 months). The monthly demand for olives is normally distributed with a mean of 15 jars and a standard deviation of 6. The fixed ordering cost =$500, the cost of a jar to Harvey is $10 a jar, and the annual inventory holding cost is 18% of the product's cost ($10 per jar). Assume 4 weeks each month and 90% service level. Find the reorder point s, amount of safety stock, order-up-to level S, average inventory level, and the annual inventory-related cost. Table of Z-values for normal distribution: Service level Z-value 90% 1.29 91% 92% 93% 94% | 95% 96% 97% 98% 99% 1.65 1.34 1.41 1.48 1.56 1.75 1.88 2.05 2.33
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Please show work so I can understand it. Given this information: •Expected demand during lead time = 800 units • Standard deviation of lead time demand = 40 units Assuming that lead time demand is distributed normally. The risk of stockout is 5 percent during lead time (a) What amount of safety stock is appropriate? (b) Calculate ROP

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