Operations Management
17th Edition
ISBN: 9781259142208
Author: CACHON, Gérard, Terwiesch, Christian
Publisher: Mcgraw-hill Education,
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Chapter 14, Problem 1PA
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To determine: The order in week 12.
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What is the average demand and standard deviation of demand during the protextion interval?
the target inventory ?
the 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?
Among the following multi-period inventory models, which one has the highest probability of stockout?
A. Fixed Order Quantity with Safety Stock
B. Fixed Time Period Model
C. Fixed Order Quantity
D. Both Fixed Order Quantity & Fixed Order Quantity with Safety Stock
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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- 13 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_forwardDaily demand for fresh cauliflower in the ZZ-Warehouse store follows normal distribution with mean 100 cartons and s.d. 20 cartons. The ZZ-Warehouse buys at a cost of $50.00 per carton, sells it for $70.00 per carton. Unsold cartons are sold for $20.00 per carton. Cost of shortage = 70-50 = 20; cost of excess = 50-20 = 30; Ratio using (20.1), the service level = (20/(20+30))= 0.4 What is the optimal order quantity, using the single period – continuous demand model? a. 105 b. 95 c. 110 d. 100 e. 80arrow_forwardXYZ Company must order tires from its warehouse. It costs $10550 to place an order and to review the inventory level. Annual tire sales are normally distributed with mean 20000 and variance 4,000,000. It costs $10 per year to hold a tire in inventory, and each order arrives two weeks after being placed. The Company uses periodic review (R, S) policy. What is the review interval R (in years), estimated using EOQ.? Select one: a. 1.027 O b.0.1083 c. 0.2297 d. 0.1624 e. 0.3248arrow_forward
- 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 levelarrow_forwardYour 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_forwardXYZ Company must order tires from its warehouse. It costs $10400 to place an order and to review the inventory level. Annual tire sales are normally distributed with mean 18000 and variance 4,000,000. It costs $8 per year to hold a tire in inventory, and each order arrives two weeks after being placed. The Company uses periodic review (R, S) policy. What is the review interval R (in years), estimated using EOQ.? Select one: a. 0.3801 b. 0.19 c. 0.2687 d. 1.075 e. 0.1267arrow_forward
- Your company has previously used a fixed order size where ordering takes place once a quarter, but since the product's sustainability only allows warehousing for a limited time, demand varies somewhat and the product's character also means that the stock cost is rather expensive, SEK 54 per product and year. So, the company wants to investigate whether a more dynamic order size is preferable. Each order costs the company approximately SEK 1,200. The forecast for the next 4 months is given below: Month 1 2 3 4 Forecast 180 320 490 180 Decide in which periods ordering should take place (you can choose the calculation method).arrow_forwardInventory manager of a retail store wants to order plastic Easter eggs, demand for which is highly seasonal. Easter eggs come in a special value box (250 eggs per box). The manufacturer is located in China, so a long lead time required to receive the orders. After the order is placed, eggs will arrive just in time before the Easter Holiday. Therefore, if stocks out, the inventory manager will not be able to place a second order. The demand follows a normal distribution with a mean of 4,000 boxes and a standard deviation of 500 boxes. Each ordered special value box will cost $3 and will retail at $7. Leftover eggs will be salvaged at $2 per box after the Easter Holiday. Customer goodwill cost is estimated to be $0.934 for each lost sale. Find optimal order quantity and Expected Sold (Assume f_u(z)=0.25). Group of answer choices Cannot be calculated using the information given Q*=4,480 boxes, E[Sold]=4,000 boxes Q*=3,956 boxes, E[Sold]=4,480 boxes Q*=4,480 boxes, E[Sold]=3,956…arrow_forwardUnited Airlines has an agreement to buy jet fuel from Exxon. The goal is to minimize total cost (i.e., ordering cost + holding cost). The annual demand for fuel is 201,000 barrels. Exxon charges United $3740 to process each order. United incurs a holding cost of $20 per barrel. When purchasing using the EOQ (from last question), what is the order cycle time (days between orders) for United? Note: round your answer to the nearest 1 decimal place. For example, answer like 12.3 Answer: Checkarrow_forward
- 1. Forrest and Dan make boxes of chocolates for which the demand is uncertain. Forrest says, "That's life." On the other hand, Dan believes that some demand patterns exist that could be useful for planning the purchase of sugar, chocolate, and shrimp. Forrest insists on placing a surprise chocolate-covered shrimp in some boxes so that "You never know what you'll get." Quarterly demand (in boxes of chocolates) for the last three years is shown in the table below: b. If the expected sales for chocolates are 14,400 cases for year 4, use the multiplicative seasonal method to prepare a forecast for each quarter of the year. (Round all intermediate calculations to two decimal places.) The first quarter forecast is what? boxes of chocolates. (Enter your response rounded to the nearest whole number.)arrow_forwardConsider a two-stage plant-retailer supply chain. Lead time for orders is two weeks. Safety stock is equal to one week's demand, and future demand is estimated by the average of the past two weeks. 1. Develop production planning model (equations) for the retailer that states the order-up- to rule, and order quantities as a function of time. 2. Using a table format (Columns are Week, Starting retail inventory, On order, Order-up-to target, Order quantity, and Demand) track performance of the retailer for eight weeks if demand suddenly shifts from 100 units per week to 110 units per week starting in period 3 and stays at 110 to the end.arrow_forwardThe Fast Service Food Mart stocks frozen pizzas in a refrigerated display case. The average daily demand for the pizzas is normally distributed, with a mean of 8 pizzas and a standard deviation of 2.5 pizzas. A vendor for a packaged food distributor checks the market’s inventory of frozen foods every 10 days, and during a particular visit, there were no pizzas in stock. The lead time to receive an order is 3 days. Determine the order size for this order period that will result in a 99% service level. During the vendor’s following visit, there were 5 frozen pizzas in stock. What is the order size for the next order period?arrow_forward
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