11. Through its online accessory store, Gateway sells its own products, as well as products made byother companies. One of these products is the WB150 WolfByte laptop computer:Estimated annual demand:Cost:Lead time:Standard deviation of weeklydemand:Standard deviation of lead time:Holding cost per unit per year:Ordering cost:Desired service level:15,376 laptops (50 weeks peryear)$640 per laptop2 weeks16 laptops0.3 weeks40% of item cost$25 per order95% (z = 1.65)a. (*) What is the economic order quantity for the laptops? Calculate annual orderingcosts and holding costs (ignoring safety stock) for the EOQ.b. (**) What is the reorder point for the laptops? How much of the reorder pointconsists of safety stock?c. (**) Suppose Gateway decides to order 64 laptops at a time. What would its yearlyordering and holding costs (ignoring safety stock) for the monitor be?d. (**) Because computer technologies become obsolete so quickly, Gateway isthinking about raising holding costs from 40% of item cost to some higherpercentage. What will be the impact on the economic order quantity for laptops?Explain why.For parts e and f, use the following formula to consider the impact of safety stock(SS) on average inventory levels and annual holding costs:(+ SS) H e. (***) What is the annual cost of holding inventory, including the safety stock? Howmuch of this cost is due to the safety stock?f. (***) Suppose Gateway is able to cut the lead time to a constant 1 week. Whatwould the new safety stock level be? How much would this reduce annual holdingcosts?

EOQ is a statistical and mathematical concept used in production and operations management. It…

Answered: 11. Through its online accessory store,…

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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Scotch Pub bar sells Speylachie high-end whiskey among other beverages. The demand for Speylachie is normally distributed. The inventory related information at Scotch Pub is as follows: Average Annual Demand = 2,500 liters Standard deviation of weekly demand = 22 liters One-liter bottle cost = bought at £112.50 per bottle from a brewery in Scotland Ordering cost = £144.00 per order Lead time = 3 weeks Annual inventory-holding cost estimate = 4% of the bottle cost Required service level = 95% Scotch Pub works 50 weeks a year. Note: The approximate z values are: for 0.9 ≈ 1.28, for 0.92 ≈ 1.405, for 0.95 ≈ 1.645, for 0.98 ≈ 2.05. Suppose the bar management practices the fixed-PERIOD ordering system with the review period equal to the “economic time interval”. Answer the following questions: (i) When do they place an order? (ii) If at the time of review there are 333 bottles are available in the stock, how many bottles of Speylachie they will order? (iii) What is the…
Part 1 Sam's Pet Hotel operates 52 weeks per year, 6 days per week, and uses a continuous review inventory system. It purchases kitty litter for $13.00 per bag. The following information is available about these bags: Demandequals=75 bags/week Orde costequals=$55.00/order Annual holding costequals=35 percent of cost Desired cycle-service levelequals=80 percent Lead timeequals=4 weeks (24 working days) Standard deviation of weekly demand equals=15 bags Current on-hand inventory is 320 bags, with no open orders or backorders. Part 2 a. Suppose that the weekly demand forecast of 75 bags is incorrect and actual demand averages only 50 bags per week. How much higher will total costs be, owing to the distorted EOQ caused by this forecast error? The costs will be ___ higher owing to the error in EOQ. (Enter your response rounded to two decimal places.)
A local artisan uses supplies purchased from an overseas supplier. The ownerbelieves the assumptions of the EOQ model are met reasonably well. Minimization ofinventory cost is her objective. Relevant data, from the files of the credit firm, are annualdemand (C) = 240 units, ordering cost (B) = 42 MU/order, and holding cost = 4MU/unit/year.a) How many should she order at one time?b) How many times per year will she replenish its inventory of this material?c) What will be the total inventory costs associated with this material? Please mention formulas and do it in detail so I can understand.
Problem 20-22 (Algo) Annual demand for a product is 16,120 units; weekly demand is 310 units with a standard deviation of 55 units. The cost of placing an order is $145, and the time from ordering to receipt is four weeks. The annual inventory carrying cost is $0.55 per unit. a. To provide a 90 percent service probability, what must the reorder point be? (Use Excel's NORMSINV() function to find the correct critical value for the given α-level. Do not round intermediate calculations. Round "z" value to 2 decimal places and final answer to the nearest whole number.) Reorder point____________ units ? b. Suppose the production manager is told to reduce the safety stock of this item by 80 units. If this is done, what will the new service probability be? (Use Excel's NORMSDIST() function to find the correct probability for your computed Z-value. Round your answer to the nearest whole number.) Service probability___________%
A gift shop sells Little Lentils dolls at a steady pace of 10 per day, 310 days per year. The cost of the dolls is $5, and the gift shop uses an annual interest rate of 20 percent to compute holding cost. Question 1: If the shop wants to place an average of 20 replenishments orders per year, what order quantity should it use? Question 2: If the shop calculates EOQ for ordering dolls and gets 100, what is the implied fixed order cost (K) Question 3: If the shop estimates that the cost of placing an order is $10, what is the optimal order quantity (EOQ)?
Problem 3: You're a buyer for fictional Quality Kitchen Appliances. Thestore has a demand for 1,000 toasters ovens per year. The cost of each toaster oven is US$78. The ordering cost is US$100 per order. The holding cost is 40% of the cost of the oven per unit per year.a What is the optimal Order Quantity?b How many orders will be placed per year?c What is the total annual cost (in US dollars)?d If the holding cost decreases to 30% of the unit cost of the oven, what effect will it have on EOQ and the totalannual cost?
Cress Electronic Products manufactures components used in the automotive industry. Cress purchases parts for use in its manufacturing operation from a variety of different suppliers. One particular supplier provides a part where the assumptions of the EOQ model are realistic. The annual demand is 5000 units, the ordering cost is $80 per order, and the annual holding cost rate is 25%. a. If the cost of the part is $20 per unit, what is the economic order quantity?b. Assume 250 days of operation per year. If the lead time for an order is 12 days, what is the reorder point?c. If the lead time for the part is seven weeks (35 days), what is the reorder point?d. What is the reorder point for part (c) if the reorder point is expressed in terms of the inventory on hand rather than the inventory position?
Cress Electronic Products manufactures components used in the automotive industry. Cress purchases parts for use in its manufacturing operation from a variety of different suppliers. One particular supplier provides a part where the assumptions of the EOQ model are realistic. The annual demand is 5000 units, the ordering cost is $80 per order, and the annual holding cost rate is 25%. a. If the cost of the part is $20 per unit, what is the economic order quantity? b. Assume 250 days of operation per year. If the lead time for an order is 12 days, what is the reorder point?
William Beville’s computer training school, inRichmond, stocks workbooks with the following characteristics: Demand D = 19,500 units>yearOrdering cost S = +25>orderHolding cost H = +4>unit>yeara) Calculate the EOQ for the workbooks.b) What are the annual holding costs for the workbooks?c) What are the annual ordering costs?
Norris Harrell’s Computer Store in San Fernando sells a printer for $200. The annual demand for this is 600 units, with a standard deviation of 1.5 units daily. The holding cost is $20, while the cost of ordering is $60 per order. Currently the company is ordering 12 times per year. There are 250 working days per year and the lead time is 10 days. a. Given the current policy of ordering, what is the total ordering and holding costs? b. If the company uses the absolute best inventory policy, what would be the total ordering and holding costs?
The Metropolitan Book Company purchases paper from the Atlantic Paper Company. Metropolitanproduces magazines and paperbacks that require 1,215,000 pounds of paper per year. Thecost per order for the company is $1,200; the cost of holding 1 pound of paper in inventory is$0.08 per year. Determine The economic order quantity
17. The daily demand for integrated circuit boards by mythical Reliance Computers,which assembles computers, is 80 units. The daily demand is normally distributedand has a standard deviation of 6 units. The lead time from the supplier is a constant9 days. If Reliance Computers is willing to accept a stock-out risk of 7%, what is thereorder point, and how much of the inventory ordered is safety stock?

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