OPERATIONS MANAGEMENT
2nd Edition
ISBN: 9781260238877
Author: CACHON
Publisher: RENT MCG
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 14, Problem 5PA
You are the owner of Hotspices.com, an online retailer of hip, exotic, and hard-to-find spices. Consider your inventory of saffron, a spice (generally) worth more by weight than gold. You order saffron from an overseas supplier with a shipping lead time of four weeks and you order weekly. Average weekly demand is normally distributed with a mean of 40 ounces and a standard deviation of 30 ounces.
- a. Suppose it uses an order-up-to level of 301 ounces. What is its expected on-hand inventory? [LO14-2]
- b. Suppose it uses an order-up-to level of 250 ounces. What is its expected on-order inventory? [LO14-2]
- c. Suppose it uses an order-up-to level of 368 ounces. What is its in-stock probability? [LO14-2]
- d. Suppose it wants a .96 in-stock probability. What should its order-up-to level be? [LO14-3]
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A retailer sells winter jackets for $120 in the winter season. The cost of a jacket is $70. Unsold jackets discounted and sold for $50 after the winter season. Demand is normally distributed with a mean of 2500 units and standard deviation of 600 units. Replenishments cannot be ordered once the winter season starts due to long lead-times. The retailer wants to determine how many jackets to order for the winter season.
The optimal service level is
. 714.714
(enter your answer to 3 decimal places).
The optimal quantity to order is ...(enter your answer rounded to the nearest integer).
You are the owner of Hotspices.com, an online retailer of hip, exotic, and hard-to-findspices. Consider your inventory of saffron, a spice (generally) worth more by weightthan gold. You order saffron from an overseas supplier with a shipping lead time of fourweeks and you order weekly. Average weekly demand is normally distributed with amean of 40 ounces and a standard deviation of 30 ounces.a. Suppose it uses an order-up-to level of 301 ounces. What is its expected on-hand inventory? b. Suppose it uses an order-up-to level of 250 ounces. What is its expected on-order inventory? c. Suppose it uses an order-up-to level of 368 ounces. What is its in-stock probability? d. Suppose it wants a .96 in-stock probability. What should its order-up-to level be?
The home appliance department of a large department store is using a lot size–reorder point system to control the replenishment of a particular model of FM table radio. The store sells an average of 10 radios each week. Weekly demand follows a normal distribution with variance 26.The store pays $20 for each radio, which it sells for $75. Fixed costs of replenishment amount to $28.The accounting department recommends a 20 percent interest rate for the cost of capital. Storage costs amount to 3 percent and breakage to 2 percent of the value of each item.If a customer demands the radio when it is out of stock, the customer will generally go elsewhere. Loss-of-goodwill costs are estimated to be about $25 per radio. Replenishment lead time is three months.a. If lot sizes are based on the EOQ formula, what reorder level should be used for the radios?b. Find the optimal values of (Q, R).c. Compare the average annual costs of holding, ordering, and stock-out for the policies that you found in…
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 - Prob. 4PACh. 14 - You are the owner of Hotspices.com, an online...Ch. 14 - Prob. 6PACh. 14 - Prob. 7PACh. 14 - Prob. 8PACh. 14 - Prob. 9PACh. 14 - Prob. 10PACh. 14 - Prob. 11PACh. 14 - Prob. 1CCh. 14 - Prob. 2CCh. 14 - Prob. 3CCh. 14 - CASE WARKWORTH FURNITURE1 Warkworth Furniture...Ch. 14 - CASE WARKWORTH FURNITURE1 Warkworth Furniture...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, operations-management and related others by exploring similar questions and additional content below.Similar questions
- Assume the demand for a companys drug Wozac during the current year is 50,000, and assume demand will grow at 5% a year. If the company builds a plant that can produce x units of Wozac per year, it will cost 16x. Each unit of Wozac is sold for 3. Each unit of Wozac produced incurs a variable production cost of 0.20. It costs 0.40 per year to operate a unit of capacity. Determine how large a Wozac plant the company should build to maximize its expected profit over the next 10 years.arrow_forwardVallie Enterprise sells a product that cost $200 per unit and has a monthly demand of 500 units. The annual holding cost per unit is calculated as 2% of the unit purchase price. It costs the business $30 to place a single order. The maximum number of units sold for any one week is 150 and minimum sales 80 units. The vendor takes anywhere from 2 to 4 weeks to deliver the merchandise after the order is placed. The EOQ model is appropriate. i) What is the cost minimizing solution for this product each year? ii) Determine the re-order level, minimum inventory level and maximum inventory level for the product.arrow_forwardThe materials manager of a tire manfacturer must predict periodically place order for a key chemical one of the raw materials used in manufacturing uses the chemical at a rate of 300lbs each week and the lead time of delivery is 4 days. Assume that the manufacturing operation runs 5 days a week. At what point should the chemical be reorderedd a. when 1200lbs are remaining b. where 0lbs are remaining c. where 375lbs are remaining d. when 240lbs are remarrow_forward
- Daily 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_forwardThe home appliance department of a large department store is using inventory models to controlthe replenishment of a particular model of Microwave ovens. The daily demand follows anormal distribution with a mean of 150 units and standard deviation of 16 units. The store pays$100 for each oven. Fixed costs of replenishment are $28. The accounting departmentrecommends a 20% annual holding cost rate. Assume that the average lead time is 5 days with astandard deviation of 1 day. Assume 365 days a year.Part A: What is the EOQ?Part B: What is the reorder point if the maximum chance of 5% of stock out (i.e. 95% servicelevel) is desired?Part C: What is the reorder point if a fill rate of 99% is required?Part D: Suppose management wants to simplify the process by setting the reorder point to“1000” units. Based on this policy, what is the implied chance of stock out?arrow_forwardRocky Mountain Tire Centre sells 20,000 tires of a particular type per year. The ordering cost for each order is $40, and the holding cost is 20% of the purchase price of the tires per year. The purchase price is $20. per tire if fewer than 500 tires are ordered, $18. Per tire if more than 500 but fewer than 1,000 tires are ordered and $17. per tire if 1,000 or more tires are ordered. Quantity Unit Price 1-499 $20. 500-999 $18. 1000 & over $17 Based on available information, lead time demand for CD-ROM drives averages 50 units (normally distributed), with a standard deviation of 5 drives. Management wants a 97% service level. What value of Z should be applied? How many drives should be carried as safety stock?arrow_forward
- The home appliance department in a large department store is using a (Q, R) system to control the replenishment of a model of FM radio. The store sells an average of 12 radios each week. Weekly demand follows a normal distribution with variance 30. (Assume that there are 52 weeks in a year.) The store pays $20 for each radio, which it sells for $85. Fixed order cost is $30 per order. The accounting department recommends a 20% interest rate for the cost of capital. Storage costs are 3% and breakage 2% of the purchasing cost of each item. If a customer demands the radio when it is out of stock, the customer will generally go elsewhere. Loss-of-goodwill costs are estimated to be about $25 per radio. Order lead time is 13 weeks. (The penalty cost includes loss of profit and loss of goodwill.) Find the optimal values of (Q, R) based on the penalty cost. What are the values for Q and R if the stock-out cost is replaced with a 95% Type 1 service level?arrow_forwardA car dealer must pay $20,000 for each car purchased. The annual holding cost is estimated to be 25% of the dollar value of inventory. The dealer sells an average of 500 cars per year. He is willing to backlog some demand but estimates that if he is short one car for one year, he will lose $20,000 worth of future profits. Each time the dealer places an order for cars, the ordering cost is $10,000. Determine the dealer’s optimal ordering policy. What is the maximum shortage that will occur? Assume it costs $5000 to store a car for a yeararrow_forwardAAA auto supply store sells snow tires which are ordered every Friday to meet next week's demand. The sales price for the most popular size is $50 per tire and its cost for AAA is $35. If too many tires are ordered AAA incurs an inventory carrying cost of $2 per tire. If AAA is out of stock, it forgoes the profits from missed sales. AAA has the option to order 100, 150, or 200 tires to meet next week's demand which can be either 100, 150, or 200 tires.Based on its historical demand distribution, assume that AAA Inc. has determined the followingprobability information: P(100) = 0.4, P(150) = 0.3, and P(200) = 0.3 e. Which alternative should be chosen based on the minimax regret criterion? f. Which alternative should be chosen using the expected monetary value (EMV) criterion? g. What is the expected value under perfect information (EVPI)? Show Workarrow_forward
- AAA auto supply store sells snow tires which are ordered every Friday to meet next week's demand. The sales price for the most popular size is $50 per tire and its cost for AAA is $35. If too many tires are ordered AAA incurs an inventory carrying cost of $2 per tire. If AAA is out of stock, it forgoes the profits from missed sales. AAA has the option to order 100, 150, or 200 tires to meet next week's demand which can be either 100, 150, or 200 tires.Based on its historical demand distribution, assume that AAA Inc. has determined the followingprobability information: P(100) = 0.4, P(150) = 0.3, and P(200) = 0.3.a. Which alternative should be chosen based on the maximax criterion?b. Which alternative should be chosen based on the maximin criterion?c. Which alternative should be chosen based on the Lapalce criterion?d. Which alternative should be chosen based on criterion of realism with alpha = 0.7?e. Which alternative should be chosen based on the minimax regret criterion?f. Which…arrow_forwardSuppose the monthly demand for automobile tires at a tire dealer is Normally distributed with a mean of 250 tires and a standard deviation of 50 tires. How many tires must the store have in inventory at the beginning of each month to meet the demand 95% of the time?arrow_forwardA company is using a continuous review system for its inventory. Due to the contracts made with the customers, the weekly demand is constantly 40 units. The average lead time of orders is 2 weeks and the standard deviation of lead time is 1 week. The current service level is 95%. In order to reduce inventory holding costs, the company wants to reduce its reorder point. To achieve this, there are two options that have approximately the same cost for the company: reduce the standard deviation of lead time to 0.5 weeks or reduce the service level to 90%. A) Which option is more advantageous for the company? B) How much reduction does this option bring in the reorder point as opposed to the current situation? Show your calculationsarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Practical Management ScienceOperations ManagementISBN:9781337406659Author:WINSTON, Wayne L.Publisher:Cengage,
Practical Management Science
Operations Management
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:Cengage,
Inventory Management | Concepts, Examples and Solved Problems; Author: Dr. Bharatendra Rai;https://www.youtube.com/watch?v=2n9NLZTIlz8;License: Standard YouTube License, CC-BY