Operations Management
17th Edition
ISBN: 9781259142208
Author: CACHON, Gérard, Terwiesch, Christian
Publisher: Mcgraw-hill Education,
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Chapter 14, Problem 6CQ
Summary Introduction
To identify: The probability of a period ending with no on-hand inventory will be equal to.
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What is the relationship between the average inventory and the in-stock probability?a. The more the inventory, the lower the in-stock probability.b. There isn’t a definitive relationship—more inventory could mean a lower or a higherin-stock probability.c. The more the inventory, the higher the in-stock probability.
The best quantity to order One of the formulas for inventorymanagement says that the average weekly cost of ordering, payingfor, and holding merchandise iswhere q is the quantity you order when things run low (shoes,TVs, brooms, or whatever the item might be); k is the cost ofplacing an order (the same, no matter how often you order); c isthe cost of one item (a constant); m is the number of items soldeach week (a constant); and h is the weekly holding cost per item(a constant that takes into account things such as space, utilities,insurance, and security). Find dA>dq and d2A>dq2.
In the fixed-time period model, the order quantity is determined for which:
A. The total annual inventory cost is minimized.B. The annual setup cost is equal to the annual holding cost.C. The probability of stockout is minimized.D. None of the above
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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- Models of inventory systems frequently consider the relationships among a beginning inventory,a production quantity, a demand or sales, and an ending inventory. For a givenproduction period j, letsj-1 = ending inventory from the previous period (beginning inventory for period j)xj = production quantity in period jdj = demand in period jsj = ending inventory for period ja. Write the mathematical relationship or model that shows ending inventory as a functionof beginning inventory, production, and demand.b. What constraint should be added if production capacity for period j is given by Cj?c. What constraint should be added if inventory requirements for period j mandate anending inventory of at least Ij?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_forwardFurnitures 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_forward
- Please 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_forwardArdie Corporation uses 30,000 units. Each order placed is for 1,500 units. The stockout units is 300. Management is willing to accept a stockout probability of 40 percent. The stockout cost per unit is P3.20. What does the total stockout cost? choose the letter of the correct answera. P2,680.00b. P3,680.00c. P4,680.00d. P5,680.00e. P7,680.00arrow_forwardDemand 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_forward
- For a company operating 300 days a year, the annual demand is 63,000 units, the lead time is 4 days, the ordering cost per order is BD 80 and the inventory turnover is 12, the reorder point is A. Every 12 days B. Every 4 days C. When 175 units remain D. When 840 units remainarrow_forwardAn electronic manufacturer in San Francisco receives its motherboards from a supplier in Hong Kong. The lead time for orders is 3 weeks. One of their board costs $16 per unit and the holding cost for this board is $0.5 per week. They manage their inventory to achieve a 97 percent in-stock probability. Weekly demand is for 150 boards with a standard deviation of 200. Use the following table when needed: In-stock probability 99% 98% 97% 96% Z value 2.33 2.05 1.88 1.75 a. How many boards do they have on on order on average? boards b.How many boards do they have on hand on average? boards c. For this board what is the total holding cost incurred per week? per week (Round your answer to 2 decimal places.) d.What is the holding cost they incur per board? per boardarrow_forwardAndy's Auto Dealership (AAD) is a family-run auto dealership selling both new and used vehicles. In an average month, AAD sells a total of 160 vehicles. New vehicles represent 60 percent of sales, and used vehicles represent 40 percent of sales. Max has recently taken over the business from his father. His father always emphasized the importance of carefully managing the dealership's inventory. Inventory financing was a significant expense for AAD. Max's father consequently taught him to keep inventory turns as high as possible. Examining the dealership's performance over recent years, Max discovered that AAD had been turning its inventory (including both new and used vehicles) at a rate of 8 times per year. What is AAD's average inventory (including both new and used vehicles)? Drilling down into the numbers, Max has determined that the dealerships new and used businesses appear to behave differently. He has determined that turns of new vehicles are 7.2 per year, while turns of used…arrow_forward
- 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.)arrow_forwardA firm uses the order-up-to model to manage its inventory. It wants to increase its in-stockprobability while decreasing its holding costs (i.e., reducing its average inventory). Which ofthe following actions will help to achieve this goal? (Consider each action independently.)I. Decrease the lead time.II. Increase the order-up-to level.III. Increase the average quantity on order.a. Only Ib. Only IIc. Only IIId. I and IIe. I and IIIf. II and IIIg. Any of them will help (that is I, II, or III).h. None of them will help.arrow_forwardA 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?arrow_forward
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