EBK OM
6th Edition
ISBN: 9781305888210
Author: Collier
Publisher: YUZU
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 11, Problem 14PA
Summary Introduction
Interpretation: Change in optimal quantity
Concept Introduction: Single period inventory model is also term as News Vendor model. It is a situation in the business where they order during seasonal demand. It is the situation where the firms orders a good in anticipation of selling that item in future where demand is uncertain.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A Mercedes dealer must pay $20,000 for each carpurchased. The annual holding cost is estimated to be 25%of the dollar value of inventory. The dealer sells an averageof 500 cars per year. He believes that demand is backloggedbut estimates that if he is short one car for one year he willlose $20,000 worth of future profits. Each time the dealerplaces an order for cars, ordering cost amounts to $10,000.Determine the Mercedes dealer’s optimal ordering policy.What is the maximum shortage that will occur?
Solve Problem 14 assuming that the lead time demand follows a Laplace distribution with mean and variance equal to the mean and variance of lead time demand you computed for Problem 14. What difference do you see in the (Q, R) values as compared to those for the normal case?
3. Cynthia Knott’s oyster bar buys fresh Louisiana oysters for $5 per pound and sells them for $12 per pound. Any oysters not sold that day are sold to her cousin, who has a nearby grocery store, for $1 per pound. Cynthia believes that demand follows the normal distribution, with a mean of 100 pounds and a standard deviation of 15 pounds. a) What is the cost of underestimating demand for each pound? b) What is the overage cost per pound? c) How many pounds of oyster should she order each day? d) What is the stockout risk for this order size?
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
- The lead time demand for bathing suits is governed bythe discrete random variable shown in Table 11. Thecompany sells an average of 10,400 suits per year. The costof placing an order for bathing suits is $30, and the cost ofholding one bathing suit in inventory for a year is $3. Thestockout cost is $3 per bathing suit. Use marginal analysisto determine the optimal order quantity and the reorderpoint.Lead TimeDemand Probability180 .30190 .30200 .15210 .10220 .15arrow_forwardThe demand for a clothing brand is shown in the table below. The cost per order is about $4000. Cost of each unit of clothing = $5. Carrying cost percentage = 25% per item per 5 months. The analysis period = 5 month duration. Month Demand 1 400 2 300 3 200 4 400 5 500 a. Using this data, compute the solutions using the Lot for Lot and Periodic Order Quantity heuristics? Which of these heuristics would perform better and why? b. Assuming that the demand follows a normal distribution with the mean and variance from the data given above, determine the optimal order should be greater or lesser than the single period EOQ model.arrow_forwardAn online footwear firm Shoe-n-co has four regional warehouses. Demand at each warehouse is normally distributed with a mean of 10,000 per week and a standard deviation of 2,000. Annual holding cost is 25%, and each unit of Prancs rubber shoes costs the company $10. Each order incurs an ordering cost of $1,000 (primarily from fixed transportation cost), and lead time is 1 week. The company wants the probability of stocking out to be no more than 5%. Assume 50 working weeks per year. What is the average inventory held at each warehouse? What is the annual inventory cost (holding + ordering) for Shoe-n-co? On average, how long does a unit of product spend in the warehouse before being sold? .. Little's law, maybe?arrow_forward
- An online footwear firm Shoe-n-co has four regional warehouses. Demand at each warehouse is normally distributed with a mean of 10,000 per week and a standard deviation of 2,000. Annual holding cost is 25%, and each unit of Prancs rubber shoes costs the company $10. Each order incurs an ordering cost of $1,000 (primarily from fixed transportation cost), and lead time is 1 week. The company wants the probability of stocking out to be no more than 5%. Assume 50 working weeks per year. Suppose that Shoe-n-co follows a periodic review policy with a review period of 2 weeks. Recall that the firm has four regional warehouses with demand at each warehouse that is normally distributed with a mean of 10,000 per week and a standard deviation of 2,000. Further, annual holding cost is 25%, and each unit of Prancs rubber shoes costs the company $10. Replenishment lead time is 1 week. The company wants a service level of 95%. Assume 50 working weeks per year. What is the annual…arrow_forwardAn online footwear firm Shoe-n-co has four regional warehouses. Demand at each warehouse is normally distributed with a mean of 10,000 per week and a standard deviation of 2,000. Annual holding cost is 25%, and each unit of Prancs rubber shoes costs the company $10. Each order incurs an ordering cost of $1,000 (primarily from fixed transportation cost), and lead time is 1 week. The company wants the probability of stocking out to be no more than 5%. Assume 50 working weeks per year. Suppose that Shoe-n-co follows a periodic review policy with a review period of 2 weeks. Recall that the firm has four regional warehouses with demand at each warehouse that is normally distributed with a mean of 10,000 per week and a standard deviation of 2,000. Further, annual holding cost is 25%, and each unit of Prancs rubber shoes costs the company $10. Replenishment lead time is 1 week. The company wants a service level of 95%. Assume 50 working weeks per year. Assuming that each…arrow_forwardAn online footwear firm Shoe-n-co has four regional warehouses. Demand at each warehouse is normally distributed with a mean of 10,000 per week and a standard deviation of 2,000. Annual holding cost is 25%, and each unit of Prancs rubber shoes costs the company $10. Each order incurs an ordering cost of $1,000 (primarily from fixed transportation cost), and lead time is 1 week. The company wants the probability of stocking out to be no more than 5%. Assume 50 working weeks per year. Assuming that each warehouse operates independently, calculate the ROP parameter of the optimal continuous review policy. Assuming that each warehouse operates independently, calculate the Q parameter of the optimal continuous review policy. How much safety stock does each warehouse have?arrow_forward
- Please do not give solution in image format thanku Deltic sells this component for 55 per unit with a 4-month delivery lead time. Assume Deltic covers all transportation and related processing until delivery. TCX’s demand forecast for the upcoming selling season (12 months) is a normal distribution with mean 13500 and standard deviation 3736,4 . TCX sells each unit, after integrating their proprietary software, for 135. Assume that TCX uses a holding cost rate of 25 %, and any leftover units can be sold for 30 on average. Due to the long lead time and high minimum order quantity required, TCX is planning on a single order from Deltic to meet their needs in the next year. How many of these components should TCX order? Calculate the resulting expected annual profits for TCX.arrow_forwardChange the ordering simulation so that emergencyorders are never made. If demand in any week isgreater than supply, the excess demand is simplylost. Simulate the same (s, S) policies as in theexample.arrow_forwardA health and nutrition store stocks a multivitamin with an annual demand of 1,000 bottles has Co = $26.50 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 6% 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.):________arrow_forward
- Demand each period is normally distributed and an order-up-to model is used to decideorder quantities. Which of the following influences the chosen order-up-to level (i.e., achange in which of the following would change the chosen order-up-to level)? I. The mean of demand in one periodII. The standard deviation of demand over (L + 1) periodsIII. The target in-stock probabilitya. Only Ib. Only IIc. Only IIId. I and IIe. I and IIIf. II and IIIg. I, II, and IIIarrow_forwardA 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_forwardIn the calculation of an optimal policy for an all-units discount schedule, you firstcompute the EOQ values for each of the three order costs, and you obtain: Q(0) =800, Q(1) =875, and Q(2) =925. The all-units discount schedule has breakpointsat 750 and 900. Based on this information only, can you determine what the optimal order quantity is? Explain your answer.arrow_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