Operations Management
17th Edition
ISBN: 9781259142208
Author: CACHON, Gérard, Terwiesch, Christian
Publisher: Mcgraw-hill Education,
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Chapter 14, Problem 10CQ
Summary Introduction
To identify: The features that impact the chosen order-up-to level.
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Oriental Healthcare is a multi-specialty hospital catering to a variety of illnessesconnected to the heart and respiratory systems. The demand for a class of medicalconsumable is generally random. Recently, an examination of the stores records overa period of 10 weeks revealed the following weekly consumption pattern:Week No. Consumption(Units)1 1202 1093 894 1405 1106 1457 778 1209 13010 80The supplier of the item takes on an average 2 weeks to deliver once the order isplaced. Design an appropriate inventory control policy for a periodic review systemfor a review frequency of 4 weeks for a 99% service level
A golf specialty wholesaler operates 50 weeks per year. Management is trying to determine an inventory policy for its 1-irons, which have the following characteristics:Demand (D) = 2,000 units/yearDemand is normally distributedStandard deviation of weekly demand = 3 unitsOrdering cost = $40/orderAnnual holding cost (H) = $5/unitsDesired cycle-service level = 90 percentLead time (L) = 4 weeksa. If the company uses a periodic review system, what should P and T be? Round P to the nearest week.b. If the company uses a continuous review system, what should R be?
A health and nutrition store stocks a multivitamin with an annual demand of 1,000 bottles has Co
probability distribution with μ = 25 and σ = 5.
(a) What is the recommended order quantity? (Round your answer to the nearest integer.)
=
$23.50 and C = $9. The demand exhibits some variability such that the lead-time demand follows a normal
(b) What are the reorder point and safety stock if the store desires at most a 4% probability of stock-out on any given order cycle? (Round your answers to the nearest integer.)
reorder point
safety stock
(c) If a manager sets the reorder point at 30, what is the probability of a stock-out on any given order cycle? (Round your answer to four decimal places.)
How many times would you expect a stock-out during the year if this reorder point were used? (Round your answer to the nearest integer.)
Chapter 14 Solutions
Operations Management
Ch. 14 - Demand in each period follows the same normal...Ch. 14 - Prob. 2CQCh. 14 - For products with slow-moving demandfor example,...Ch. 14 - Prob. 4CQCh. 14 - Prob. 5CQCh. 14 - Prob. 6CQCh. 14 - Prob. 7CQCh. 14 - Prob. 8CQCh. 14 - If the target in-stock probability increases, then...Ch. 14 - Prob. 10CQ
Ch. 14 - Prob. 11CQCh. 14 - Prob. 12CQCh. 14 - Prob. 13CQCh. 14 - Prob. 14CQCh. 14 - Prob. 15CQCh. 14 - Prob. 16CQCh. 14 - Prob. 17CQCh. 14 - Prob. 18CQCh. 14 - Prob. 19CQCh. 14 - Prob. 1PACh. 14 - Prob. 2PACh. 14 - Prob. 3PACh. 14 - You are the owner of Hotspices.com, an online...Ch. 14 - Prob. 5PACh. 14 - Prob. 6PACh. 14 - Prob. 7PACh. 14 - Prob. 1CCh. 14 - Prob. 2CCh. 14 - Prob. 3CCh. 14 - CASE WARKWORTH FURNITURE1 Warkworth Furniture...Ch. 14 - CASE WARKWORTH FURNITURE1 Warkworth Furniture...
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- Furnitures sells office chairs ordered from its flagship store. It costs $100 to place an order, and the lead time is two weeks. Demand during lead time is N(40, 1.96). in future goodwill. It pays $60 for each chair and sells it for $100. The annual holding a chair inventory is 30% of its purchase cost. Furnitures estimates that each stockout causes a loss of $50 a) Assuming that all demand is backlogged, what are the reorder point and the safety stock level? b) To meet 99% service objective, what should be the safety stock level for Type 1 Service? For Type 2 Service?arrow_forwardNationwide Auto Parts uses a periodic review inventory control system for one of its stock items. The review interval is 6 weeks, and the lead time for receiving the materials ordered from its wholesaler is 3 weeks. Weekly demand is normally distributed, with a mean of 100 units and a standard deviation of 20 units.a. What is the average and the standard deviation of demand during the protection interval?b. What should be the target inventory level if the firm desires 97.5 percent stockout protection?c. If 350 units were in stock at the time of a periodic review, how many units should be ordered?arrow_forwardPlease do not give solution in image formate thanku. A product’s demand over (l + 1) periods is normally distributed with a mean of 100 and standard deviation of 10. Lead time is 2 periods. The order-up-to model is used to manage inventory. If in-stock probability stays at 99%, what will happen to expected on-hand inventory when expected demand increases to 200? A) It will increase. B) It will stay the same. C) It will decrease. D) It may either increase or decrease.arrow_forward
- A health and nutrition store stocks a multivitamin with an annual demand of 1,000 bottles has Co = $24.50 and Ch = $7.The demand exhibits some variability such that the lead-time demand follows a normal probability distribution with ? = 25 and ? = 5. (a)What is the recommended order quantity? (Round your answer to the nearest integer.) (b)What are the reorder point and safety stock if the store desires at most a 4% probability of stock-out on any given order cycle? (Round your answers to the nearest integer.) reorder pointsafety stock (c)If a manager sets the reorder point at 30, what is the probability of a stock-out on any given order cycle? (Round your answer to four decimal places.) How many times would you expect a stock-out during the year if this reorder point were used? (Round your answer to the nearest integer.)arrow_forwardA product's demand over (/+1) periods follows a normal distribution with mean of 80 and standard deviation of 20. The order-up-to level is 100. What is the in-stock probability? 0.8413 0.5987 O 0.3413arrow_forward13 Pam’s demand for hats is normally distributed with mean 500 and standard deviation 100. She sells her hats for $50 each and buys hats for $10 each, and anything she can't sell by the end of the year, the wholesaler will buy for $5 each. How many hats should she order for next year to maximize profit?arrow_forward
- The manager of a local retail store is ordering a specialty item from a supplier in Toronto. The lead time is cons days. The store is open 300 days a year (50 weeks Monday-Saturday, with a two-week vacation). The average. is 40 units, with a standard deviation of 7.6. (Assume that the distribution is approximately normal.) It costs $40 to place an Time left 1:45:28 order, and the annual holding cost is 30% of the inventory value. The supplier charges $8.00 per unit. Find the economic order quantity (EOQ). O a. 1788 O b. 346 O c. 36 Od. 632 The manager of a local retail store is ordering a specialty item from a supplier in Toronto. The lead time is constant at five days. The store is open 300 days a year (50 weeks Monday-Saturday, with a two-week vacation). The average daily demand is 40 units, with a standard deviation of 7.6. (Assume that the distribution is approximately normal) It costs $40 to place an order, and the annual holding cost is 30% of the inventory value. The supplier…arrow_forwardAnnual demand is 16000 units, cost per order is $75 and carrying cost per unit as a percentage is 10%. The company works 250 weeks a year; the lead-time on all orders placed is 6 working days. Assuming constant lead-time demand, and a unit cost of $45 what is the economic order quantity? What is the reorder point. If lead-time demand shows variability that follows a normal distribution with a mean μ =420 and a standard deviation σ =20, what will the revised reorder point if two stock-outs (shortages) are allowed? What is the company’s reorder point if the probability of a stock-out on any cycle is restricted to 0.05?arrow_forwardA product’s demand in each period follows a normal distribution with mean of 60 and standard deviation of 10. The order-up-to level is 270 and the lead time is 2 weeks. Orders are placed every 2 weeks. What is the expected on-hand inventory? 140 80 31 8arrow_forward
- Gyona purchases meat from the local supermarket at $5 per kilo and sell it at $9 per kilo. any unsold meat is sold to the Chinese restaurant near by at $2 per kilo. Gyona is sure that the demand follows a normal distribution with a mean of 100 kilograms and a standard deviation of 15 kilograms. - How many kilograms should she order each day?arrow_forwardA store has collected the following information on one of its products:Demand = 4,500 units/year Standard deviation of weekly demand = 12 units Ordering costs = $40/order Holding costs = $3/unit/year Cycle-service level = 90% (z for 90% = 1.28) Lead-time = 2 weeks Number of weeks per year = 52 weeks a. If a firm uses the continuous review system to control the inventory, what would be the order quantity and reorder point?arrow_forwardA lawn and garden shop that is open for business seven days a week orders bags of grass seed every OTHER Monday. Lead time for seed orders is 5 days. On Monday, at ordering time, a clerk found 112 bags of seed in stock, and so he ordered 198 bags. Daily demand for grass seed is normally distributed with a mean of 15 bags and a standard deviation of four bags.The manager would like to know what the probability is that a grass seed stockout will occur before the next order arrives. Please show a correct solution and answer. Thank you.arrow_forward
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