OPERATIONS AND SUPPLY CHAIN MANAGEMENT
9th Edition
ISBN: 9781119448037
Author: Russell
Publisher: WILEY
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Chapter 13, Problem 40P
IM Systems assembles microcomputers from genetic components. It purchases its color monitors from a manufacturer in Taiwan: thus, there is a long lead time of 25 days. Daily demand is
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A pharmacist wants to establish an optimal inventory policy for a new antibiotic that requires refrigeration in storage. The pharmacist expects to sell 6000 packages of this antibiotic at a steady rate during the next year. She plans to place several orders of the same size spaced equally throughout the year. The ordering cost for each delivery is $15, and carrying costs, based on the average number of packages in inventory, amount to $8 per year for one package. Use this information to answer the following questions.
a) Let x be the order quantity and r the number of orders placed during the year. Find the inventory cost (ordering cost plus carrying cost) in terms of x and r.
b) Find the constraint function.
c) Determine the economic order quantity that minimizes the inventory cost and then find the minimum inventory cost. X=__________ C=$___________
Gainesville Cigar stocks Cuban cigars that have variable lead times because of the difficulty in importing the product: Lead time is normally distributed with an average of 8 weeks and a standard deviation of 2 weeks.Demand is also a variable and normally distributed with a mean of 150 cigars per week and a standard deviation of 23 cigars.
90% service level, what is the ROP?
The reorder point is _ cigars (round response to the nearest whole number).
Barbara Flynn is in charge of maintaining hos-pital supplies at General Hospital. During the past year, the
mean lead time demand for bandage BX-5 was 60 (and wasnormally distributed). Furthermore, the standard deviation forBX-5 was 7. Ms. Flynn would like to maintain a 90% service level.a) What safety stock level do you recommend for BX-5?b) What is the appropriate reorder point?
Chapter 13 Solutions
OPERATIONS AND SUPPLY CHAIN MANAGEMENT
Ch. 13.S - Prob. 1QCh. 13.S - How are steady-state results achieved in a...Ch. 13.S - Prob. 3QCh. 13 - Describe the difference between independent and...Ch. 13 - Distinguish between a fixed-order-quantity system...Ch. 13 - Discuss customer service level for an inventory...Ch. 13 - Explain the ABC inventory classification system...Ch. 13 - Identify the two basic decisions addressed by...Ch. 13 - Describe the major cost categories used in...Ch. 13 - Explain how the order quantity is determined using...
Ch. 13 - What are the assumptions of the basic EOQ model,...Ch. 13 - How are the reorder point and lead lime related in...Ch. 13 - Describe how the production quantity model differs...Ch. 13 - How must the application of the basic EOQ model be...Ch. 13 - Why do the basic EOQ model variations not include...Ch. 13 - In the production quantity EOQ model, what would...Ch. 13 - Explain in general terms how a safety stock level...Ch. 13 - Explain the difference between a single-stage...Ch. 13 - AV City stocks and sells a particular brand of...Ch. 13 - AV City (Problem 13.1) assumed with certainty that...Ch. 13 - A firm is faced with the attractive situation in...Ch. 13 - The Sofaworld Company purchases upholstery...Ch. 13 - The Wallace Stationery Company purchases paper...Ch. 13 - The Ambrosia Bakery makes calms for freezing and...Ch. 13 - The EastCoasters Bicycle Shop operates 364 days a...Ch. 13 - The Chemeo Company uses a highly toxic chemical in...Ch. 13 - The Food Place Supermarket stocks Munehkin...Ch. 13 - Kroft Foods makes cheese to supply to stores in...Ch. 13 - The Shotz Brewery produces an ale that it stores...Ch. 13 - Tradewinds Imports is an importer of ceramics from...Ch. 13 - JAL Trading is a Hong Kong manufacturer of...Ch. 13 - In Problem 12.1 in Chapter 12, the Hartley-Davis...Ch. 13 - In Problem 12-2 in Chapter 12, Carpel City orders...Ch. 13 - In Problem 12.47 in Chapter 12, Delaplane...Ch. 13 - The Paramount Paper company produces paper from...Ch. 13 - Kellys Tavern serves Shamrock draft beer to its...Ch. 13 - The daily demand for Ironcoat paint at the Top...Ch. 13 - IM Systems assembles microcomputers from genetic...Ch. 13 - IM Systems assembles microcomputers from generic...Ch. 13 - KVS Pharmacy fills prescriptions fen a popular...Ch. 13 - Food Place Market stocks frozen pizzas in a...Ch. 13 - The Mediterranean Restaurant stocks a red Chilean...Ch. 13 - The Aztec Company stock a variety of parts and...Ch. 13 - The EastCoasters Bicycle Shop stocks bikes;...Ch. 13 - Tara McCoy is the office administrator for the...Ch. 13 - The concession stand at the Shelby High School...Ch. 13 - The Instant Paper Clip Office Supply Company...Ch. 13 - The Texas Gladiators Apparel Store The Texas...Ch. 13 - Pharr Foods Company Pharr Foods Company produces a...
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- Demand for a product is relatively constant at 5 units per day. Lead time for this product is normally distributed with a mean of 20 days and a standard deviation of 4 days. (a) What reorder point provides an 80 percent service level? (b) What reorder point provides a 90 percent service level? (c) If the lead time standard deviation can be reduced from 4 days to 1, what reorder point now provides 90 percent service? How much is safety stock reduced by this change?arrow_forwardBarbara Flynn is in charge of maintaining hospital supplies at General Hospital. During the past year, themean lead time demand for bandage BX-5 was 60 (and wasnormally distributed). Furthermore, the standard deviationfor BX-5 was 7. Ms. Flynn would like to maintain a 90%service level. a) What safety stock level do you recommend for BX-5?b) What is the appropriate reorder point?arrow_forwardPM Computers assembles personal computers from generic components. It purchases its color monitors from a manufacturer in Taiwan; thus, there is a long and uncertain lead time for receiving orders. Lead time is normally distributed, with a mean of 25 days and a standard deviation of 10 days. Daily demand is also normally distributed, with a mean of 2.5 monitors and a standard deviation of 1.2 monitors. Determine the safety stock and reorder point corresponding to a 90% service level.arrow_forward
- Demand during lead time for one brand of TV is normally distributed with a mean of 36 TVs and a standard deviation of 15 TVs. What safety stock should be carried for Dennis Yu's Appliance Outlet to provide a 90% service level? What is the appropriate reorder point? Use a Z standard deviation table as well What safety stock should be carried for a 90% service level? Safety stock =units (round your response to the nearest whole number). What is the appropriate reorder point? Reorder Point = unitsarrow_forwardMo. A distributor of computer monitors purchases the monitors from an overseas supplier under a continuous review system. The average demand for a popular computer monitor is normally distributed with a mean of 50 units a day and a standard deviation of 10 units a day. It costs $75 to process each order and there is a 16 day lead time. The holding cost for each monitor is $20 per year and the distributor wishes to maintain a 90% service level. The distributor operates 300 days in a year. The distributor would like to use a periodic review inventory system to manage their inventory. Use the information in Scenario 9.15. What is the standard deviation of demand over the protection interval? less than or equal to 30 units greater than 40 units but less than or equal to 50 units greater than 50 units greater than 30 units but less than or equal to 40 unitsarrow_forwardSurge Electric uses 4,000 toggle switches a year. Switches are priced as follows: 1 to 499, 90cents each; 500 to 999, 85 cents each; and 1,000 or more, 80 cents each. It costs approximately$30 to prepare an order and receive it, and carrying costs are 40 percent of purchase price perunit on an annual basis. Determine the optimal order quantity and the total annual cost.arrow_forward
- I need a detailed explanation on how to solve this problem: A paint shop implements an inventory policy on its stock of white paint, which costs the store $6 per can. Monthly demand for cans of white paint is normal with mean 28 and standard deviation 8. The replenishment lead time is 14 weeks. Excess demand is backordered, but costs $10 per back ordered can in labor and loss of goodwill. There is a fixed cost of $15 per order, and the holding cost is based on 30% interest rate per annum. In your computations, assume 4 weeks per month. - Write down the model name and parameters. - What are the optimal lot size and reorder points for white paint (include the formulas)? - What is the optimal safety stock (include the formula)? *** Suppose the paint shop from the above problem adopts a service level policy. - What are the optimal lot size and reorder points for white paint, such that 90% of the cycles are filled without backordering (include all formulas)? - What is the fill rate…arrow_forwardThe Co-op in problem 6 has discovered that it should establish a safety stock for its sweatshirts. It wants to use a reorder point system with a two-week lead time. The demand over a two-week interval has an average of 450 units and a standard deviation of 250 units.a. What reorder point should the Co-op establish to ensure a 95 percent service level for each order placed?b. What reorder point should be established to ensure that no more than one stockout occurs in the course of a year?c. How much average inventory will the Co-op carry for part b? Include both cycle inventory and safety stock in your answer.d. How often will the Co-op turn over its inventory, using the results from part c?arrow_forwardThe annual demand for sugar at a local soft drink company is normally distributed with a mean of 800 tons and a standard deviation of 25 tons. The sugar sells for OMR 500 each ton, and the annual inventory holding cost rate is 10%. Ordering costs are OMR5 per order. The delivery time for sugar is 5 working days. Assume that there are 250 working days in a year. 1. Determine the optimal order quantity. 2. What size of safety stock should the company keep at a service-level of 90%? 3. Suppose they keep 8 extra tons in inventory as a safety stock. What is the service-level obtained? 4. Evaluate the fill rate Beta for a safety stock of 5 tons. 5. What is the expected number of units short per year? 6. Compare the level of safety stock for each policy =Beta=0.95.arrow_forward
- The manager of an auto parts store is reviewing the inventory policy for one of their fastest selling products — car batteries. The store sells an average of 40 car batteries every week. The cost to hold one battery in inventory for a year is $15. The ordering cost per order is estimated at $50. The store operates all 52 weeks in a year.Use the information in Scenario 9.5. If the manager decides to order at the economic order quantity, what is the sum of the annual ordering cost and holding cost? Group of answer choices greater than $1800 but less than or equal to $2100arrow_forwardAuthentic Thai rattan chairs are delivered to Gary Schwartz's chain of retail stores, called The Kathmandu Shop, once a year. The reorder point, without safety stock, is 200 chairs. Carrying cost is $40 per unit per year, and the cost of a stockout is $70 per chair per year. Given the following demand probabilities during the lead time, how much safety stock should be carried? Demand During Lead Time Probability 0 0.2 100 0.2 200 0.2 300 0.2 400 0.2 The optimal quantity of safety stock which minimizes expected total cost is _ units (enter response as a whole number).arrow_forwardRapallo Sneakers, Inc. sells a pair of LG sneakers for $42. Due to the recent fitness craze, these shoes are in high demand: 52 pairs of shoes are sold per week. The ordering cost is $42 per order, and the annual holding cost is 25 percent of the selling price. If the store operates 48 weeks a year, what can you say about the size of the current order quantity of 225 pairs?arrow_forward
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