Operations Management
17th Edition
ISBN: 9781259142208
Author: CACHON, Gérard, Terwiesch, Christian
Publisher: Mcgraw-hill Education,
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Chapter 14, Problem 5CQ
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To identify: The statement that is true about order up-to model.
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A newsvendor orders the quantity that maximizes expected profit for two products, X and Y. The critical ratio for both products is .8. The demand forecast for both products is 9000 units and both are normally distributed. Product X has more uncertain demand in the sense that it has the larger standard deviation. Of which of the two products does the newsvendor order morea. Product X because it has less certain demand. b. Product Y because it has more certain demand. c. The order quantities are the same because they have the same critical ratio. d. More information is needed to determine which has the higher order quantity.
Weekly demand for Lego at a Wal-Mart store is normally distributed with a mean of 2,500 boxes and a standard deviation of 500. Demand is assumed to be stationary and the mean demand is used as forecast. Each order costs Wal-Mart $145 and holding cost per box per year is estimated at $1.5. Lead time is 2 weeks and the store manager has decided to review inventory every 4 weeks. (Assume a periodic review policy)
a. What is safety stock requirement for a service level of 90%?
b. What is the order-up-to level?
c. What is the total annual variable cost?
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
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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- Annual demand for number 2 pencils at the campus store is normallydistributed with mean 1,000 and standard deviation 250. The store purchases thepencils for 6 cents each and sells them for 20 cents each. There is a two-monthlead time from the initiation to the receipt of an order. The store accountantestimates that the cost in employee time for performing the necessary paperworkto initiate and receive an order is $20, and recommends a 22 percent annual interest rate for determining holding cost. The cost of a stock-out is the cost of lostprofit plus an additional 20 cents per pencil, which represents the cost of loss ofgoodwill.b. Find the simultaneous optimal values of Q and R.arrow_forwardAnnual demand for number 2 pencils at the campus store is normallydistributed with mean 1,000 and standard deviation 250. The store purchases thepencils for 6 cents each and sells them for 20 cents each. There is a two-monthlead time from the initiation to the receipt of an order. The store accountantestimates that the cost in employee time for performing the necessary paperworkto initiate and receive an order is $20, and recommends a 22 percent annual interest rate for determining holding cost. The cost of a stock-out is the cost of lostprofit plus an additional 20 cents per pencil, which represents the cost of loss ofgoodwill.d. What is the safety stock for this item at the optimal solution?arrow_forwardIn the order-up-to model, the standard deviation of the order quantities is higher than the standard deviation of demand in one period. O O is lower than the standard deviation of demand in one period. is equal to the standard deviation of demand in one period. O cannot be compared to the standard deviation of demand in one period.arrow_forward
- Demand in each period follows the same normal distribution (i.e., there is one demand distribution that represents demand in any single period). Assuming demand is independent acrossperiods, which of the following statements about mean demand over five periods is true? a. It equals the mean of demand over one period.b. It is greater than the mean of demand over one period but less than five times the meanof demand over one period.c. It equals five times the mean of demand over one period.d. It is even more than five times the mean of demand over one period.arrow_forwardNutmeg Inc. uses the LIFO method to account for inventory. During years in whichinventory unit costs are generally rising and in which the company purchases more inventory than it sells to customers, its reported gross profit margin will most likely be:A. lower than it would be if the company used the FIFO method.B. higher than it would be if the company used the FIFO method.C. about the same as it would be if the company used the FIFO method.arrow_forward1- The number of orders in the inventory system (called A) is total demand (called D) divided D by order size per replenishment (called S) or A =". D follows a normal distribution with a mean of 100,000 and standard deviation of 5000. While S is a continuous uniform distribution between 20,000 and 30,000. Generate 500 A random number and find the average.arrow_forward
- Your firm uses a periodic review system for all SKUs classified, using ABC analysis, as B or C items. Further, it uses a continuous review system for all SKUs classified as A items. The demand for a specific SKU, currently classified as an A item, has been dropping. You have been asked to evaluate the impact of moving the item from continuous review to periodic review. Assume your firm operates 52 weeks per year; the item’s current characteristics are:Demand 1D2 = 15,080 units/yearOrdering cost 1S2 = $125.00/orderHolding cost 1H2 = $3.00/unit/yearLead time 1L2 = 5 weeksCycle@service level = 95 percentDemand is normally distributed, with a standard deviation of weekly demand of 64 units.a. Calculate the item’s EOQ.b. Use the EOQ to define the parameters of an appropriate continuous review and periodic review system for this item.c. Which system requires more safety stock and by how much?arrow_forwardPlease provide STEP BY STEP instructions using the SINGLE PERIOD MODEL. Cynthia Knott’s oyster bar buys fresh Louisiana oysters for $5 per pound and sells them for $9 per pound. Any oysters not sold that day are sold to her cousin, who has a nearby grocery store, for $2 per pound. Cynthia believes that demand follows the normal distribution, with a mean of 100 pounds and a standard deviation of 15 pounds. How many pounds should she order each day?arrow_forwardAboloway Company stocks a part that has a daily demand represented by the empirical distribution (shown in the table below). When restocking this part, the average lead time from the supplier is 3 days with a standard deviation of 0.5 days. The plant manager wants to determine how much safety stock to maintain for this part to ensure that stock-outs will not be incurred in more than 5.5% of the order cycles. Daily demand (d) in units Frequency 5 10 10 35 15 65 20 32 25 8 Total Observations = 150 3a. Find the mean and standard deviation for demand. 3b. Based on the information in problems 3 and 3a, what is the mean and standard deviation of demand during the lead time? 3c. Based on the information in problems 3, 3a, and 3b, how much safety stock should the plant manager maintain to ensure that stock-out will not be incurred in more than 5.5% of the order cycles?arrow_forward
- A change in which of the following results in a change in the maximum profit in a newsvendor setting? a. The revenue received from salvaging inventoryb. The regular selling price of the productc. The standard deviation of the demand forecastd. The coefficient of variation of the demand forecastarrow_forwardYou are the store manager at a large furniture store. One of your products is a study desk. Weekly demand for the desk is normally distributed with mean 40 and standard deviation 20. The lead time from the assembly plant to your store is two weeks and you order inventory replenishments weekly. You use the order-up-to model to control inventory. a. Suppose your order-up-to level is S = 220. You are about to place an order and note that your inventory level is 100 and you have 85 desks on order. How many desks will you order? b. Suppose your order-up-to level is S = 220. You are about to place an order and note that your inventory level is 160 and you have 65 desks on order. How many desks will you order? c. What is the optimal order-up-to level if you want to target a 98 percent in-stock probability?arrow_forwardRex manufacturing purchases a printed circuit board for use in its automatic, computerized, robotbartender. The manufacturing facility has placed the following monthly demands on purchasedgoods inventory during the past year. Month 1 2 3 4 5 6 7 8 9 10 11 12 Demand 205 193 197 220 202 226 179 197 186 202 179 214 This demand schedule can be assumed to be random, to follow a normal distribution, and to berepresentative of what will occur in the future. Rex estimates that a fixed cost of $300 isincurred each time an order is placed for the boards, and that the inventory holding cost is about20% per year of the value of inventory. Each board has an estimated value of $192 at the pointof storage. The lead time on purchase orders is (1/5) month.Part A: What is the EOQ?Part B: What is the safety stock required to assure the management that the chance of a stock outin a cycle is no more than 1%?Part C: What is the reorder level?arrow_forward
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